SSC CGL Tier-1 (11 Sep Shift 1) 2016 Solved Question Paper

Question 1

Select the related word/letters/numbers from the given alternatives:
BIRD : AEROPLANE :: FISH : ?

Accepted Answer

Option C: BOAT. A bird flies naturally in air, and an aeroplane is a man-made vehicle designed to travel through air. Similarly, a fish swims naturally in water, and a boat is a man-made vessel designed to travel through water. Therefore, FISH : BOAT.

Question 2

Select the related word/letters/numbers from the given alternatives:
DCBA : WXYZ :: IJKL : ?

Accepted Answer

Option C: RQPO. Each letter is paired with its reverse alphabetical counterpart (sum of positions = 27):
- D (4) ↔ W (23)
- C (3) ↔ X (24)
- B (2) ↔ Y (25)
- A (1) ↔ Z (26)

Applying the same reverse alphabetical mapping to IJKL:
- I (9) ↔ R (18)
- J (10) ↔ Q (17)
- K (11) ↔ P (16)
- L (12) ↔ O (15)
Therefore, IJKL corresponds to RQPO.

Question 3

Select the related word/letters/numbers from the given alternatives:
381 : 160 :: 478 : ?

Accepted Answer

Option D: 257. Observe the constant numerical difference between the paired numbers:
$$381 - 160 = 221$$
Applying the same subtraction rule to the second pair:
$$478 - 221 = 257$$
Therefore, the missing number is 257.

Question 4

Find the odd word from the given alternatives:

Accepted Answer

Option C: Prestigious. 'Affluent', 'Rich', and 'Well-to-do' are direct synonyms referring to material wealth and financial prosperity. On the other hand, 'Prestigious' refers to having high reputation, honor, or standing in society, which does not necessarily denote money or material wealth. Hence, 'Prestigious' is the odd one out.

Question 5

Find the odd letters from the given alternatives:

Accepted Answer

Option B: TPR. Let's check the positional shifts in each letter triplet:
1. O (15) → M (13) [-2], M (13) → Q (17) [+4]
2. T (20) → P (16) [-4], P (16) → R (18) [+2]
3. T (20) → R (18) [-2], R (18) → V (22) [+4]
4. V (22) → T (20) [-2], T (20) → X (24) [+4]
In options 1, 3, and 4, the pattern is strictly (-2, +4). Option 2 follows (-4, +2), which is anomalous.

Question 6

Find the odd number pair from the given alternatives:

Accepted Answer

Option D: 3 - 5. Examine the numerical difference in each pair:
- 11 - 8 = 3
- 4 - 1 = 3
- 10 - 7 = 3
- 5 - 3 = 2
In all pairs except (3 - 5), the difference is +3. In (3 - 5), the difference is +2. Hence, 3 - 5 is the odd pair.

Question 7

Arrange the following words as per order in the dictionary:
1. Launch
2. Laugh
3. Lattice
4. Latent
5. Latitude

Accepted Answer

Option A: 4, 5, 3, 2, 1. Arranging the words letter by letter in standard alphabetical dictionary order:
1. **Latent** (starts with L-A-T-E...)
2. **Latitude** (starts with L-A-T-I...)
3. **Lattice** (starts with L-A-T-T...)
4. **Laugh** (starts with L-A-U-G...)
5. **Launch** (starts with L-A-U-N...)
This yields the sequence: 4, 5, 3, 2, 1.

Question 8

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:
XFB, UGD, RIG, OLK, ?

Accepted Answer

Option C: LPP. Analyze the pattern position by position:
- **1st letter**: X (24) - 3 = U (21) - 3 = R (18) - 3 = O (15) - 3 = **L** (12)
- **2nd letter**: F (6) + 1 = G (7) + 2 = I (9) + 3 = L (12) + 4 = **P** (16)
- **3rd letter**: B (2) + 2 = D (4) + 3 = G (7) + 4 = K (11) + 5 = **P** (16)
Combining all three gives **LPP**.

Question 9

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:
1, 2, 4, 7, ?, 16

Accepted Answer

Option C: 11. Observe the consecutive differences between adjacent terms:
- $$1 + 1 = 2$$
- $$2 + 2 = 4$$
- $$4 + 3 = 7$$
- $$7 + 4 = 11$$
- $$11 + 5 = 16$$
Each step increases the difference by 1 (+1, +2, +3, +4, +5). Hence, the missing number is 11.

Question 10

A and B are a married couple. X and Y are brothers. X is the brother of A. How is Y related to B?

Accepted Answer

Option A: Brother-in-law. 1. A and B are spouses.
2. X and Y are mutual brothers.
3. Since X is the brother of A, Y is also the brother of A.
4. Therefore, the brother of one's spouse (A's brother Y) is B's **Brother-in-law**.

Question 11

B is taller than E but shorter than A. A is taller than C and D. D is taller than B. E is taller than C. Who is the shortest?

Accepted Answer

Option B: C. Let us assemble the given height relations step by step:
1. $A > B > E$
2. $A > D > B$
3. $E > C$
Combining these from tallest to shortest:
$$A > D > B > E > C$$
Clearly, C is shorter than everyone else. Thus, **C** is the shortest.

Question 12

From the given alternative words, select the word which cannot be formed using the letters of the given word:
DISSERTATION

Accepted Answer

Option C: DIRECTION. The letters available in 'DISSERTATION' are: D, I, S, S, E, R, T, A, T, I, O, N.
The word 'DIRECTION' contains the letter **'C'**, which does not appear in 'DISSERTATION'. Thus, DIRECTION cannot be formed.

Question 13

If A = 1, E = 5, then HEAR = ?

Accepted Answer

Option B: 32. The code uses the standard alphabetical numerical positions:
- H = 8
- E = 5
- A = 1
- R = 18
Summing the positions:
$$8 + 5 + 1 + 18 = 32$$
Hence, HEAR = 32.

Question 14

If P denotes '+', Q denotes '-', R denotes '÷', and S denotes '×', then:
18 S 36 R 12 Q 6 P 7 = ?

Accepted Answer

Option C: 55. Substitute the mathematical operators according to the given rules:
$$18 	imes 36 \div 12 - 6 + 7$$
Applying BODMAS (Division first, then Multiplication):
1. $$36 \div 12 = 3$$
2. $$18 	imes 3 = 54$$
3. $$54 - 6 + 7 = 48 + 7 = 55$$
Therefore, the result is 55.

Question 15

Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis:
If 98 - 39 - 27 = 31, and 87 - 38 - 34 = 20, then 79 - 25 - 12 = ?

Accepted Answer

Option A: 51. The pattern involves multiplying the individual digits of each two-digit number and subtracting them consecutively:
- For $98 - 39 - 27 = 31$:
  $$(9 	imes 8) - (3 	imes 9) - (2 	imes 7) = 72 - 27 - 14 = 31$$
- For $87 - 38 - 34 = 20$:
  $$(8 	imes 7) - (3 	imes 8) - (3 	imes 4) = 56 - 24 - 12 = 20$$
- Applying the same logic to $79 - 25 - 12$:
  $$(7 	imes 9) - (2 	imes 5) - (1 	imes 2) = 63 - 10 - 2 = 51$$
Hence, the correct answer is 51.

Question 16

Select the missing number from the given responses:

![Number Matrix](/images/questions/ssc/cgl_2016_11sep_s1/q16_matrix.jpeg)

$$\begin{matrix} 7 & 14 & 4 \ 4 & 12 & 9 \ 6 & 24 & ? \end{matrix}$$

Accepted Answer

Option B: 16. Examine the relationship across each row (Row 1 to Row 3):
- **Row 1**: Divide the middle number by the first, then square the result:
  $$\left(\frac{14}{7}\right)^2 = 2^2 = 4$$
- **Row 2**:
  $$\left(\frac{12}{4}\right)^2 = 3^2 = 9$$
- **Row 3**:
  $$\left(\frac{24}{6}\right)^2 = 4^2 = 16$$
Thus, the missing number in the third column is **16**.

Question 17

A man starts from a point and walks 30 metres towards South. He turns to his right and walks 30 metres. He then turns to his left and walks 20 metres. Again he turns to his left and walks 30 metres. How far is he from his starting point?

Accepted Answer

Option A: 50 metres. Let's trace the person's coordinates starting at $(0, 0)$:
1. 30 m South: $(0, -30)$
2. Turns right (facing West) and walks 30 m: $(-30, -30)$
3. Turns left (facing South) and walks 20 m: $(-30, -50)$
4. Turns left (facing East) and walks 30 m: $(-30 + 30, -50) = (0, -50)$
The final position is directly 50 metres South of the starting point $(0, 0)$. Thus, he is **50 metres** away.

Question 18

Consider the given statements to be true, even if they seem to be at variance from commonly known facts, and decide which of the given conclusions logically follows from the statements:

**Statements:**
1. All teachers are actors.
2. Some actors are women.

**Conclusions:**
I. All teachers are women.
II. Some women are teachers.
III. Some women are actors.
IV. All actors are teachers.

Accepted Answer

Option C: Only Conclusion III follows. 1. Statement 2 is a particular affirmative (I-type): 'Some actors are women'. The valid immediate conversion of an I-type proposition is another I-type: **'Some women are actors'**. Thus, Conclusion III follows unconditionally.
2. There is no distributed middle term linking 'teachers' and 'women' (Actors is undistributed in both), so no valid relation can be deduced between teachers and women (Conclusions I and II do not follow).
3. 'All teachers are actors' converts to 'Some actors are teachers', not 'All' (Conclusion IV does not follow).
Therefore, **Only Conclusion III follows**.

Question 19

How many triangles are there in the given figure?

![Triangle Figure](/images/questions/ssc/cgl_2016_11sep_s1/q19_triangle.jpeg)

Accepted Answer

Option D: 28. In the standard symmetrical square figure with central diagonals and cross-medians divided into quadrants:
- Individual smallest unit triangles: 12 triangles.
- Triangles composed of 2 smaller units: 8 triangles.
- Triangles composed of 3/4 units forming larger quadrant triangles: 8 triangles.
Total count = $$12 + 8 + 8 = 28$$ triangles.

Question 20

Which of the following Venn diagrams indicates the best relation between:
**Stationery items, Pencils, Potatoes**?

Accepted Answer

Option D: ![Option 4](/images/questions/ssc/cgl_2016_11sep_s1/q20_opt4.jpeg). 1. All Pencils are Stationery items. Hence, the circle representing Pencils lies completely inside the circle representing Stationery items.
2. Potatoes are vegetables and have zero intersection with stationery or pencils. Hence, Potatoes is represented by an entirely separate, disjoint circle.
This configuration (one circle inside another, with a third circle completely detached) is depicted in **Option 4**.

Question 21

Which answer figure will complete the pattern in the question figure?

![Question Pattern](/images/questions/ssc/cgl_2016_11sep_s1/q21_fig.jpeg)

Accepted Answer

Option B: ![Option 2](/images/questions/ssc/cgl_2016_11sep_s1/q21_opt2.jpeg). To maintain 4-fold rotational symmetry and complete the geometric contours in the missing bottom-right quadrant, the lines and arcs must mirror the top-right quadrant across the horizontal axis. **Option 2** provides the exact matching lines.

Question 22

From the given answer figures, select the one in which the question figure is hidden/embedded:

![Target Figure](/images/questions/ssc/cgl_2016_11sep_s1/q22_fig.jpeg)

Accepted Answer

Option C: ![Option 3](/images/questions/ssc/cgl_2016_11sep_s1/q22_opt3.jpeg). Tracing the distinctive shape (a vertical stem connected to asymmetrical diagonal steps) within the options clearly reveals that it is embedded without change of orientation in **Option 3**.

Question 23

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened:

![Paper Folding and Punching](/images/questions/ssc/cgl_2016_11sep_s1/q23_fig.jpeg)

Accepted Answer

Option C: ![Option 3](/images/questions/ssc/cgl_2016_11sep_s1/q23_opt3.jpeg). When the circular punch made on the folded quarter section is unfolded horizontally and vertically, bilateral reflections reproduce the identical punch cuts across all four quadrants. This symmetrical layout corresponds directly to **Option 3**.

Question 24

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

![Mirror Image Question](/images/questions/ssc/cgl_2016_11sep_s1/q24_fig.jpeg)

Accepted Answer

Option C: ![Option 3](/images/questions/ssc/cgl_2016_11sep_s1/q24_opt3.jpeg). A vertical mirror reflects the left-right orientation while keeping the vertical top-bottom alignment unchanged. The elements on the right of the object move to the left in the reflection. This lateral inversion matches **Option 3**.

Question 25

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. Identify the set for the word 'LEND':

Matrix I & Matrix II

![Matrix I & Matrix II](/images/questions/ssc/cgl_2016_11sep_s1/q25_matrices.jpeg)

Accepted Answer

Option B: 10, 31, 77, 99. Let's check Option 2 (Row, Column) for each letter of 'LEND':
- **L**: Row 1, Column 0 gives 'L' (10) ✓
- **E**: Row 3, Column 1 gives 'E' (31) ✓
- **N**: Row 7, Column 7 gives 'N' (77) ✓
- **D**: Row 9, Column 9 gives 'D' (99) ✓
All four coordinates perfectly spell 'LEND'. Thus, **Option 2** (10, 31, 77, 99) is correct.

Question 26

Intensive cultivation refers to:

Accepted Answer

Option C: Raising production by intensive use of existing land. Intensive agriculture (or intensive farming) is an agricultural intensification system that aims to maximize agricultural output per unit area of existing cultivated land using high inputs of capital, fertilizers, pesticides, irrigation, and labor. Therefore, it refers to 'raising production by intensive use of existing land'.

Question 27

Serena Williams equalled the Open Era record of 22 Grand Slam singles titles previously held by:

Accepted Answer

Option B: Steffi Graf. At the 2016 Wimbledon Championships, Serena Williams won her 22nd Grand Slam singles title, equalling the Open Era record held by Germany's Steffi Graf (who won 22 major singles titles between 1987 and 1999).

Question 28

Which of the following blood groups is considered the universal donor?

Accepted Answer

Option D: O. Blood group O (specifically O negative) lacks both A and B surface antigens on red blood cells, which prevents an immunological reaction when transfused into recipients of any ABO blood type. Hence, Blood Group O is the universal donor, whereas AB is the universal recipient.

Question 29

Amir Khusro was a famous:

Accepted Answer

Option A: Poet. Ab'ul Hasan Yamin al-Din Khusrow, famously known as Amir Khusro (1253–1325), was an iconic Sufi musician, poet, and scholar during the Delhi Sultanate. Revered as the 'Parrot of India' (Tuti-e-Hind) and the 'Father of Qawwali', he composed poetry in Persian and Hindavi.

Question 30

The members of the All India Services serve:

Accepted Answer

Option D: Both the Union and State Governments. Under Article 312 of the Constitution of India, the All India Services (IAS, IPS, and IFoS) are recruited and trained by the Union Government but allocated to state cadres. Officers serve both the Union and State Governments during their careers.

Question 31

The term of office of the Vice-President of India is:

Accepted Answer

Option B: 5 years. According to Article 67 of the Constitution of India, the Vice-President holds office for a term of five years from the date on which he enters upon his office.

Question 32

Who was instrumental in the integration of the princely states into the Indian Union?

Accepted Answer

Option C: Sardar Vallabhbhai Patel. Sardar Vallabhbhai Patel (the first Deputy Prime Minister and Minister of Home Affairs), assisted by V. P. Menon, successfully integrated more than 565 princely states into the Indian Union following independence in 1947, earning him the title 'Iron Man of India'.

Question 33

The west coast of India receives more rainfall than the east coast because:

Accepted Answer

Option B: The Western Ghats obstruct the winds causing rainfall. The Western Ghats form an unbroken continuous mountain barrier perpendicular to the incoming moisture-laden South-West monsoon winds from the Arabian Sea. These winds are forced to rise, condense, and precipitate heavy orographic rainfall on the windward western coastal plain.

Question 34

The plateau that has both West and East flowing drainage systems is:

Accepted Answer

Option A: Malwa. The Malwa Plateau acts as a water divide between the Arabian Sea and Bay of Bengal drainages. Rivers like the Chambal, Betwa, and Ken flow north-eastward to join the Yamuna and Ganga (draining into the Bay of Bengal), while the Mahi and nearby Narmada drainage basins head westwards into the Arabian Sea.

Question 35

In which of the following plants are nitrogen-fixing symbiotic bacteria found?

Accepted Answer

Option A: Peas. Leguminous plants such as peas (Pisum sativum), beans, and lentils form symbiotic relationships with nitrogen-fixing bacteria (*Rhizobium*) within specialized root nodules, converting atmospheric nitrogen into bioavailable ammonium compounds.

Question 36

Lack of sunshine in children causes:

Accepted Answer

Option A: Rickets. Sunlight stimulates the synthesis of Vitamin D (cholecalciferol) in the skin. In children, prolonged lack of sunlight leads to Vitamin D deficiency, causing impaired calcium and phosphorus absorption, leading to **Rickets** (softening, deformation, and weakening of growing bones).

Question 37

Chloramines are used in municipal water treatment for:

Accepted Answer

Option C: Disinfection. Chloramines (formed by reacting chlorine with ammonia) are widely used as secondary disinfectants in drinking water distribution systems because they produce lower levels of harmful disinfection byproducts (trihalomethanes) and provide longer-lasting residual protection against microbial contamination.

Question 38

Supercooling is cooling of a liquid:

Accepted Answer

Option B: Below freezing point. Supercooling (undercooling) is the process of lowering the temperature of a liquid below its freezing point without it becoming a solid, which occurs in the absence of a crystal nucleus or seed around which crystallization can initiate.

Question 39

Alcohol is more volatile than water because its ______ is lower:

Accepted Answer

Option A: Boiling point. Ethanol has weaker intermolecular hydrogen bonding than water, giving it a much lower boiling point ($78.37^\circ	ext{C}$ compared to water's $100^\circ	ext{C}$) and a higher vapor pressure at ambient temperatures, making it significantly more volatile.

Question 40

Protection of objects and access control in a computer operating system is commonly achieved through:

Accepted Answer

Option C: Passwords. In operating systems and computer security, passwords represent the primary, universal mechanism of user authentication and access control to protect files, accounts, and system objects from unauthorized modification or viewing.

Question 41

Which of the following is NOT a Non-Banking Financial Institution (NBFI)?

Accepted Answer

Option D: BOI. Bank of India (BOI) is a Scheduled Public Sector Commercial Bank accepting demand deposits from the general public. In contrast, EXIM Bank, SIDBI, and NABARD are All-India Specialized Development Financial Institutions (AIFIs / NBFIs) that do not conduct general commercial retail banking.

Question 42

Hardness of water is tested by:

Accepted Answer

Option C: Formation of lather with soap. Hard water contains dissolved calcium and magnesium ions ($Ca^{2+}, Mg^{2+}$) that react with soap molecules to precipitate an insoluble curdy scum (calcium stearate) rather than forming a rich lather. Soft water forms lather immediately, providing the classic empirical test for water hardness.

Question 43

Who is the first Indian Gold Medal Winner in individual category in Olympic games?

Accepted Answer

Option A: Abhinav Bindra. Abhinav Bindra created history by winning India's first-ever individual Olympic Gold medal in the Men's 10m Air Rifle shooting event at the 2008 Beijing Olympic Games.

*(Note on SSC Preliminary Key: In the tentative answer key, Option 4 Leander Paes was erroneously indicated due to a question-drafting confusion between India's first individual Olympic medal in tennis [Paes won Bronze in 1996] vs. Olympic Gold medal. Abhinav Bindra is the undisputed, factually verified first Indian individual Olympic Gold Medalist).*

Question 44

Which is the warmest layer of the atmosphere?

Accepted Answer

Option A: Thermosphere. The **Thermosphere** (extending from roughly 85 km to 600 km above Earth) is the warmest atmospheric layer. In this layer, highly energetic solar X-rays and short-wave ultraviolet radiation are directly absorbed by residual nitrogen and oxygen atoms, causing temperatures to reach up to $1,500^\circ	ext{C}$ to $2,000^\circ	ext{C}$ or higher.

Question 45

Which of the following blood groups is known as the universal donor?

Accepted Answer

Option D: O. Blood group O red blood cells contain neither A nor B antigens on their surface, so they can be safely given to individuals of any ABO blood type without triggering an adverse hemolytic immune response. Thus, Group O is the universal donor.

Question 46

The melting waters of the Siachen Glacier are the main source of which river?

Accepted Answer

Option D: Nubra. The snout of the Siachen Glacier in Ladakh gives rise to the **Nubra River**, which flows through the Nubra Valley before converging with the Shyok River (which subsequently drains into the Indus River).

Question 47

The Thomas Cup is associated with which sport?

Accepted Answer

Option D: Badminton. The Thomas Cup (officially known as the World Men's Team Championships) is the premier international badminton competition contested by national men's teams of the Badminton World Federation (BWF).

Question 48

The famous historical novel 'Anandmath' was written by:

Accepted Answer

Option B: Bankim Chandra Chatterjee. 'Anandmath' was written in 1882 by Bankim Chandra Chatterjee. Set during the Sannyasi Rebellion of late 18th-century Bengal, the novel is famed for introducing India's national song, 'Vande Mataram'.

Question 49

The term 'Hindu rate of growth' was coined by which economist?

Accepted Answer

Option B: Raj Krishna. The term 'Hindu rate of growth' was coined in 1978 by Indian economist **Prof. Raj Krishna** to describe the sluggish annual GDP growth rate of around 3.5% achieved by India from the 1950s through the late 1970s prior to the economic liberalisation reforms.

Question 50

The BRICS New Development Bank (NDB) was established primarily for:

Accepted Answer

Option A: Funding infrastructure projects in emerging economies for sustainable development. The New Development Bank (NDB), established by the BRICS nations (Brazil, Russia, India, China, and South Africa) in 2014 at the Fortaleza Summit, was founded to mobilize resources for infrastructure and sustainable development projects in BRICS and other emerging market economies and developing countries.

Question 51

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in:

Accepted Answer

Option A: $$5\frac{1}{7}	ext{ days}$$. Let the total work be the LCM of 9 and 12, which is 36 units.
- A's 1-day work = $$\frac{36}{9} = 4	ext{ units/day}$$
- B's 1-day work = $$\frac{36}{12} = 3	ext{ units/day}$$
Combined work per day = $$4 + 3 = 7	ext{ units/day}$$
Total days required together:
$$	ext{Time} = \frac{36}{7} = 5\frac{1}{7}	ext{ days}$$

Question 52

A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is:

Accepted Answer

Option C: $$66\frac{2}{3}\%$$. Let the printed price (Marked Price) be ₹100.
- Cost Price for the retailer ($CP$) = ₹(100 - 40) = ₹60
- Selling Price for the retailer ($SP$) = Printed Price = ₹100
Profit = $SP - CP = 100 - 60 = ₹40$
Profit percentage:
$$	ext{Gain } \% = \left(\frac{	ext{Profit}}{CP}ight) 	imes 100 = \left(\frac{40}{60}ight) 	imes 100 = \frac{200}{3}\% = 66\frac{2}{3}\%$$

Question 53

In a mixture of 28 litres, the ratio of spirit and water is 3 : 2. If the spirit is 3 litres more than the water in the mixture, then what is the quantity of spirit?

Accepted Answer

Option C: 9 litres. Let the quantity of spirit be $3x$ litres and water be $2x$ litres.
According to the problem:
$$	ext{Spirit} - 	ext{Water} = 3x - 2x = x = 3	ext{ litres}$$
Therefore:
$$	ext{Quantity of Spirit} = 3x = 3 	imes 3 = 9	ext{ litres}$$

Question 54

The cost price of 25 pens is equal to the selling price of 20 pens. Find the gain percent:

Accepted Answer

Option B: 25%. Given:
$$25 	imes CP = 20 	imes SP$$
$$\frac{SP}{CP} = \frac{25}{20} = \frac{5}{4}$$
For every ₹4 of cost price, the selling price is ₹5, giving a profit of ₹1.
$$	ext{Gain } \% = \left(\frac{SP - CP}{CP}ight) 	imes 100 = \left(\frac{5 - 4}{4}ight) 	imes 100 = \frac{1}{4} 	imes 100 = 25\%$$

Question 55

Two successive discounts/decreases of 10% and 20% are equivalent to a single decrease of:

Accepted Answer

Option D: 28%. Using the successive change formula:
$$	ext{Net Discount} = a + b - \frac{ab}{100}$$
$$	ext{Net Discount} = 10 + 20 - \frac{10 	imes 20}{100} = 30 - 2 = 28\%$$

Question 56

Two persons start from the same point at the same time and travel in the same direction with speeds of 25 km/h and 35 km/h. If one person is initially 60 km behind, in how many hours will the faster person catch up?

Accepted Answer

Option C: 6 hours. Since both travel in the same direction, the relative speed is the difference between their speeds:
$$	ext{Relative Speed} = 35 - 25 = 10	ext{ km/h}$$
Time required to cover the 60 km gap:
$$	ext{Time} = \frac{	ext{Distance}}{	ext{Relative Speed}} = \frac{60}{10} = 6	ext{ hours}$$

Question 57

If the simple interest on a certain sum of money for 5 years at 6% per annum is ₹60, then the sum (Principal) is:

Accepted Answer

Option A: ₹200. Using the Simple Interest formula:
$$SI = \frac{P 	imes R 	imes T}{100}$$
Substitute the given values ($SI = 60, R = 6, T = 5$):
$$60 = \frac{P 	imes 6 	imes 5}{100} = \frac{30P}{100}$$
$$P = \frac{60 	imes 100}{30} = 200$$
Hence, the Principal is ₹200.

Question 58

If $$(x - 3)^2 + (y - 4)^2 + (z - 5)^2 = 0$$, then $$(x + y + z)$$ is equal to:

Accepted Answer

Option D: 12. Since the square of any real number is non-negative ($A^2 \ge 0$), the sum of three real squares can equal zero if and only if each individual term is identically zero:
1. $$(x - 3)^2 = 0 \implies x = 3$$
2. $$(y - 4)^2 = 0 \implies y = 4$$
3. $$(z - 5)^2 = 0 \implies z = 5$$
Summing them:
$$x + y + z = 3 + 4 + 5 = 12$$

Question 59

If $$2x + \frac{1}{3x} = 5$$, then the value of $$\frac{5x}{6x^2 + 20x + 1}$$ is:

Accepted Answer

Option D: 1/7. From the given equation:
$$2x + \frac{1}{3x} = 5$$
Multiply through by $$3x$$:
$$6x^2 + 1 = 15x$$
Now rewrite the denominator of the target expression:
$$6x^2 + 20x + 1 = (6x^2 + 1) + 20x = 15x + 20x = 35x$$
Substitute this into the fraction:
$$\frac{5x}{6x^2 + 20x + 1} = \frac{5x}{35x} = \frac{5}{35} = \frac{1}{7}$$

Question 60

The orthocentre of a triangle is the point where:

Accepted Answer

Option B: The altitudes meet. By definition:
- **Orthocentre**: The intersection point of the three altitudes (perpendiculars from vertices to opposite sides).
- **Centroid**: The intersection point of the medians.
- **Circumcentre**: The intersection of the perpendicular bisectors of the sides.
- **Incentre**: The intersection of the angle bisectors.

Question 61

ABCD is a cyclic trapezium with $$AD \parallel BC$$. If $$\angle ABC = 70^\circ$$, then $$\angle BCD$$ is:

Accepted Answer

Option C: 70°. A cyclic trapezium is always an **isosceles trapezium** (its non-parallel sides are equal, $$AB = CD$$).
1. Since $$AD \parallel BC$$, consecutive interior angles are supplementary:
   $$\angle BAD + \angle ABC = 180^\circ \implies \angle BAD = 180^\circ - 70^\circ = 110^\circ$$
2. In a cyclic quadrilateral, opposite angles sum to $$180^\circ$$:
   $$\angle BAD + \angle BCD = 180^\circ \implies \angle BCD = 180^\circ - 110^\circ = 70^\circ$$
Therefore, base angles are equal: $$\angle BCD = 70^\circ$$.

Question 62

If $$\cos 27^\circ = x$$, then the value of $$	an 63^\circ$$ is:

Accepted Answer

Option A: $$\frac{x}{\sqrt{1 - x^2}}$$. Using complementary angle identities:
$$	an 63^\circ = 	an(90^\circ - 27^\circ) = \cot 27^\circ = \frac{\cos 27^\circ}{\sin 27^\circ}$$
Since $$\cos 27^\circ = x$$, we have:
$$\sin 27^\circ = \sqrt{1 - \cos^2 27^\circ} = \sqrt{1 - x^2}$$
Therefore:
$$	an 63^\circ = \frac{x}{\sqrt{1 - x^2}}$$

Question 63

In an Arithmetic Progression (A.P.), the sum of the first 10 terms is 390 and the third term is 19. Find the first term ($a$):

Accepted Answer

Option A: 3. Let $a$ be the first term and $d$ be the common difference.
1. Third term:
   $$T_3 = a + 2d = 19 \implies 2a + 4d = 38$$
2. Sum of 10 terms:
   $$S_{10} = \frac{10}{2}[2a + 9d] = 5(2a + 9d) = 390 \implies 2a + 9d = 78$$
3. Subtracting equation (1) from (2):
   $$(2a + 9d) - (2a + 4d) = 78 - 38 \implies 5d = 40 \implies d = 8$$
4. Finding $a$:
   $$a = 19 - 2(8) = 19 - 16 = 3$$
Hence, the first term is 3.

Question 64

The average marks obtained by 100 candidates in an examination is 30. If the average marks of the passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

Accepted Answer

Option C: 80. Using the Rule of Alligation:
- Passed candidates' average = 35
- Failed candidates' average = 10
- Overall mean average = 30
Ratio of Passed to Failed:
$$	ext{Ratio} = (30 - 10) : (35 - 30) = 20 : 5 = 4 : 1$$
Total parts = $$4 + 1 = 5$$
Number of passed candidates:
$$P = \left(\frac{4}{5}ight) 	imes 100 = 80$$

CGL Tier-1 (11 Sep Shift 1)2016

📝 Solved Questions with Detailed Explanations100% Free • No Login Required

SSC — CGL Tier-1 (11 Sep Shift 1) (2016)

Select the related word/letters/numbers from the given alternatives:BIRD : AEROPLANE :: FISH : ?

Select the related word/letters/numbers from the given alternatives:DCBA : WXYZ :: IJKL : ?

Select the related word/letters/numbers from the given alternatives:381 : 160 :: 478 : ?

Find the odd word from the given alternatives:

Find the odd letters from the given alternatives:

Find the odd number pair from the given alternatives:

Arrange the following words as per order in the dictionary:1. Launch2. Laugh3. Lattice4. Latent5. Latitude

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:XFB, UGD, RIG, OLK, ?

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:1, 2, 4, 7, ?, 16

A and B are a married couple. X and Y are brothers. X is the brother of A. How is Y related to B?

B is taller than E but shorter than A. A is taller than C and D. D is taller than B. E is taller than C. Who is the shortest?

From the given alternative words, select the word which cannot be formed using the letters of the given word:DISSERTATION

If A = 1, E = 5, then HEAR = ?

If P denotes '+', Q denotes '-', R denotes '÷', and S denotes '×', then:18 S 36 R 12 Q 6 P 7 = ?

Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis:If 98 - 39 - 27 = 31, and 87 - 38 - 34 = 20, then 79 - 25 - 12 = ?

Select the missing number from the given responses:71444129624?\begin{matrix} 7 & 14 & 4 \\ 4 & 12 & 9 \\ 6 & 24 & ? \end{matrix}746​141224​49?​

A man starts from a point and walks 30 metres towards South. He turns to his right and walks 30 metres. He then turns to his left and walks 20 metres. Again he turns to his left and walks 30 metres. How far is he from his starting point?

How many triangles are there in the given figure?

Which of the following Venn diagrams indicates the best relation between:Stationery items, Pencils, Potatoes?

Which answer figure will complete the pattern in the question figure?

From the given answer figures, select the one in which the question figure is hidden/embedded:

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened:

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. Identify the set for the word 'LEND':

Intensive cultivation refers to:

Serena Williams equalled the Open Era record of 22 Grand Slam singles titles previously held by:

Which of the following blood groups is considered the universal donor?

Amir Khusro was a famous:

The members of the All India Services serve:

The term of office of the Vice-President of India is:

Who was instrumental in the integration of the princely states into the Indian Union?

The west coast of India receives more rainfall than the east coast because:

The plateau that has both West and East flowing drainage systems is:

In which of the following plants are nitrogen-fixing symbiotic bacteria found?

Lack of sunshine in children causes:

Chloramines are used in municipal water treatment for:

Supercooling is cooling of a liquid:

Alcohol is more volatile than water because its ______ is lower:

Protection of objects and access control in a computer operating system is commonly achieved through:

Which of the following is NOT a Non-Banking Financial Institution (NBFI)?

Hardness of water is tested by:

Who is the first Indian Gold Medal Winner in individual category in Olympic games?

Which is the warmest layer of the atmosphere?

Which of the following blood groups is known as the universal donor?

The melting waters of the Siachen Glacier are the main source of which river?

The Thomas Cup is associated with which sport?

The famous historical novel 'Anandmath' was written by:

The term 'Hindu rate of growth' was coined by which economist?

The BRICS New Development Bank (NDB) was established primarily for:

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in:

A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is:

In a mixture of 28 litres, the ratio of spirit and water is 3 : 2. If the spirit is 3 litres more than the water in the mixture, then what is the quantity of spirit?

The cost price of 25 pens is equal to the selling price of 20 pens. Find the gain percent:

Two successive discounts/decreases of 10% and 20% are equivalent to a single decrease of:

Two persons start from the same point at the same time and travel in the same direction with speeds of 25 km/h and 35 km/h. If one person is initially 60 km behind, in how many hours will the faster person catch up?

If the simple interest on a certain sum of money for 5 years at 6% per annum is ₹60, then the sum (Principal) is:

If (x−3)2+(y−4)2+(z−5)2=0(x - 3)^2 + (y - 4)^2 + (z - 5)^2 = 0(x−3)2+(y−4)2+(z−5)2=0, then (x+y+z)(x + y + z)(x+y+z) is equal to:

If 2x+13x=52x + \frac{1}{3x} = 52x+3x1​=5, then the value of 5x6x2+20x+1\frac{5x}{6x^2 + 20x + 1}6x2+20x+15x​ is:

The orthocentre of a triangle is the point where:

ABCD is a cyclic trapezium with AD∥BCAD \parallel BCAD∥BC. If ∠ABC=70∘\angle ABC = 70^\circ∠ABC=70∘, then ∠BCD\angle BCD∠BCD is:

If cos⁡27∘=x\cos 27^\circ = xcos27∘=x, then the value of tan⁡63∘\tan 63^\circtan63∘ is:

In an Arithmetic Progression (A.P.), the sum of the first 10 terms is 390 and the third term is 19. Find the first term (aaa):

The average marks obtained by 100 candidates in an examination is 30. If the average marks of the passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

If a+b=10a + b = 10a+b=10 and ab=21ab = 21ab=21, then the value of (a−b)2(a - b)^2(a−b)2 is:

If (x−4)(x2+4x+16)=x3−P(x - 4)(x^2 + 4x + 16) = x^3 - P(x−4)(x2+4x+16)=x3−P, then PPP is equal to:

G is the centroid of △ABC\triangle ABC△ABC. If AG=BCAG = BCAG=BC, then ∠BGC\angle BGC∠BGC is equal to:

A chord of length 52 cm5\sqrt{2}\text{ cm}52​ cm subtends a right angle at the centre of a circle. The radius of the circle is:

If cos⁡2x+cos⁡4x=1\cos^2 x + \cos^4 x = 1cos2x+cos4x=1, then the value of tan⁡2x+tan⁡4x\tan^2 x + \tan^4 xtan2x+tan4x is:

An aeroplane is flying horizontally at a constant height of 2500 m above the ground. From a point on the ground, the angle of elevation of the aeroplane changes from 45∘45^\circ45∘ to 30∘30^\circ30∘ in 15 seconds. Find the speed of the aeroplane in km/h:

1000 solid metallic small spheres of diameter 6 cm each are melted to form a single large solid sphere. The diameter of the new sphere is:

The bar chart shows the production of food grains (in thousand tonnes) over the years 1980 to 1985:The sum of food grains production in the year 1982 and 1984 is equal to that of the year:

Based on the bar chart, the difference between the food grains production of the year 1981 and 1985 is:

The percentage increase in production from 1984 to 1985 is:

The rate of change in food grains production was minimum between which two consecutive years?

In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given word:NONPLUSSED

In the following question, choose the word opposite in meaning to the given word:VISIONARY

Select the correctly spelt word from the given options:

Select the related word/letters/numbers from the given alternatives:
BIRD : AEROPLANE :: FISH : ?

Select the related word/letters/numbers from the given alternatives:
DCBA : WXYZ :: IJKL : ?

Select the related word/letters/numbers from the given alternatives:
381 : 160 :: 478 : ?

Arrange the following words as per order in the dictionary:
1. Launch
2. Laugh
3. Lattice
4. Latent
5. Latitude

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:
XFB, UGD, RIG, OLK, ?

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:
1, 2, 4, 7, ?, 16

From the given alternative words, select the word which cannot be formed using the letters of the given word:
DISSERTATION

If P denotes '+', Q denotes '-', R denotes '÷', and S denotes '×', then:
18 S 36 R 12 Q 6 P 7 = ?

Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis:
If 98 - 39 - 27 = 31, and 87 - 38 - 34 = 20, then 79 - 25 - 12 = ?

Select the missing number from the given responses:

$\begin{matrix} 7 & 14 & 4 \\ 4 & 12 & 9 \\ 6 & 24 & ? \end{matrix}$

Which of the following Venn diagrams indicates the best relation between:
Stationery items, Pencils, Potatoes?

If $(x - 3)^2 + (y - 4)^2 + (z - 5)^2 = 0$ , then $(x + y + z)$ is equal to:

If $2x + \frac{1}{3x} = 5$ , then the value of $\frac{5x}{6x^2 + 20x + 1}$ is:

ABCD is a cyclic trapezium with $AD \parallel BC$ . If $\angle ABC = 70^\circ$ , then $\angle BCD$ is:

If $\cos 27^\circ = x$ , then the value of $\tan 63^\circ$ is:

In an Arithmetic Progression (A.P.), the sum of the first 10 terms is 390 and the third term is 19. Find the first term ( $a$ ):

If $a + b = 10$ and $ab = 21$ , then the value of $(a - b)^2$ is:

If $(x - 4)(x^2 + 4x + 16) = x^3 - P$ , then $P$ is equal to:

G is the centroid of $\triangle ABC$ . If $AG = BC$ , then $\angle BGC$ is equal to:

A chord of length $5\sqrt{2}\text{ cm}$ subtends a right angle at the centre of a circle. The radius of the circle is:

If $\cos^2 x + \cos^4 x = 1$ , then the value of $\tan^2 x + \tan^4 x$ is:

An aeroplane is flying horizontally at a constant height of 2500 m above the ground. From a point on the ground, the angle of elevation of the aeroplane changes from $45^\circ$ to $30^\circ$ in 15 seconds. Find the speed of the aeroplane in km/h:

The bar chart shows the production of food grains (in thousand tonnes) over the years 1980 to 1985:

The sum of food grains production in the year 1982 and 1984 is equal to that of the year:

In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given word:
NONPLUSSED

In the following question, choose the word opposite in meaning to the given word:
VISIONARY

In the following question, some parts of the sentence have errors and some are correct. Find out which part of the sentence has an error:
"I will not (A) / stay here another minute (B) / if I can help it! (C) / No Error (D)"

In the following question, find out which part of the sentence has an error:
"Roger dressed (A) / in is best shirt, (B) / silver tie and black look. (C) / No Error (D)"

In the following question, find out which part of the sentence has an error:
"They are looking forward (A) / to meet (B) / their parents (C) / No Error (D)"

Fill in the blank with the appropriate option:
"You are _______ common sense."

Fill in the blank with the appropriate option:
"He ran so fast _______"

Fill in the blank with the appropriate option:
"The doctor has been _______ to attend to an urgent case."

In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given idiom/phrase:
"To nip in the bud"

In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given idiom/phrase:
"To put a spoke in one's wheel"

In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given idiom/phrase:
"To clip one's wings"

Out of the four alternatives, choose the one which can be substituted for the given words/sentence:
"An act of travelling from one place to another"

Out of the four alternatives, choose the one which can be substituted for the given words/sentence:
"A thing no longer in use"

Out of the four alternatives, choose the one which can be substituted for the given words/sentence:
"Misappropriation of money"

Improve the bracketed part of the sentence:
"The teacher congratulated the blind student [for his] success in the exam."

Improve the bracketed part of the sentence:
"I am sorry but I [will not believe] the story when you say two plus two equals five."

Improve the bracketed part of the sentence:
"Due to rain, the builders have [stopped from constructing] the bridge."

Improve the bracketed part of the sentence:
"Due to his poor performance in the interview, he [cut an angry figure] on the stage."

Improve the bracketed part of the sentence:
"My brother [would gladly given] you his car if you had asked him."