JKSSB Stock Assistant 2024 Solved Question Paper

Question 1

In this question, four words have been given, out of which three are alike in some manner and the fourth one is different. Choose out the odd one.

Accepted Answer

Option D: Terrible. Conjecture, Surmise, and Speculate are synonyms meaning to form an opinion or guess without firm proof. 'Terrible' is an evaluative adjective meaning extremely bad or dreadful, making it the odd one out.

Question 2

Which number triad does NOT belong to the group?
A) (7, 9, 10)
B) (13, 36, 7)
C) (5, 25, 10)
D) (11, 16, 8)

Accepted Answer

Option D: 11, 16, 8. The middle number is a perfect square whose square root relates the first and third numbers:
- A: $7 + \sqrt{9} = 7 + 3 = 10$
- B: $13 - \sqrt{36} = 13 - 6 = 7$
- C: $5 + \sqrt{25} = 5 + 5 = 10$
- D: $11 - \sqrt{16} = 11 - 4 = 7 
e 8$. Thus (11, 16, 8) breaks the pattern.

Question 3

There are 3 departments in a college: Physical Sciences, Humanities, and Commerce. There are 125 students in Physical Sciences. The number of students in Humanities is $1/5th$ of Physical Sciences. Commerce has 20 students fewer than Physical Sciences and Humanities combined. What is the total number of students studying in the three departments?

Accepted Answer

Option B: 280. Physical Sciences $= 125$.
Humanities $= \frac{125}{5} = 25$.
Combined PS + Humanities $= 125 + 25 = 150$.
Commerce $= 150 - 20 = 130$.
Total students $= 125 + 25 + 130 = 280$.

Question 4

Three different positions of the same dice are shown below. Which symbol is on the face opposite to 3?

![Three Positions of Dice](/figures/stock_assistant_2024_q4_dice.svg)

Accepted Answer

Option A: 4. Comparing Position 1 and Position 3 with common face 1: Moving clockwise from 1 gives $1 → 5 → 4$ (Position 1) and $1 → 6 → 3$ (Position 3). Hence, 5 is opposite 6, and 4 is opposite 3. The face opposite 3 is 4.

Question 5

In a class of 40 students, 20 have chosen Mathematics and 15 have chosen Mathematics but not Biology. If every student chose either Mathematics or Biology or both, find the number of students who chose both Mathematics and Biology.

Accepted Answer

Option A: 5. Students taking Mathematics $= n(M) = 20$.
Students taking Mathematics only $= n(M - B) = 15$.
Students taking both Mathematics and Biology $= n(M \cap B) = n(M) - n(M - B) = 20 - 15 = 5$.

Question 6

What is the greatest 5-digit number which is exactly divisible by 85?

Accepted Answer

Option C: 99960. The greatest 5-digit number is 99999. Dividing $99999 \div 85$ gives a quotient of 1176 with a remainder of 39. Greatest divisible number $= 99999 - 39 = 99960$.

Question 7

Eiffel tower's $1/5th$ part is painted bronze. $1/4th$ of the remaining part is painted maroon. The rest has a golden color. If the height of the golden colored part is 450 m, what is the total height of the Eiffel tower?

Accepted Answer

Option D: 750m. Bronze portion $= \frac{1}{5} H$. Remaining $= \frac{4}{5} H$.
Maroon portion $= \frac{1}{4} 	imes \frac{4}{5} H = \frac{1}{5} H$.
Golden portion $= H - \left(\frac{1}{5}H + \frac{1}{5}Hight) = \frac{3}{5} H$.
Given $\frac{3}{5} H = 450 \implies H = \frac{450 	imes 5}{3} = 750	ext{ m}$.

Question 8

A shopkeeper gains a profit of 15% on selling a book after offering a 20% discount on the marked printed price. The ratio of the printed price to the cost price of the book is:

Accepted Answer

Option C: 23:16. Selling Price: $SP = MP 	imes (1 - 0.20) = 0.80 MP$.
Also $SP = CP 	imes (1 + 0.15) = 1.15 CP$.
$0.80 MP = 1.15 CP \implies \frac{MP}{CP} = \frac{1.15}{0.80} = \frac{115}{80} = \frac{23}{16}$.

Question 9

In a Diwali sale, there was a 25% discount on electric choppers. Sudha received an additional 10% cash discount and paid Rs. 405. What was the original tagged printed price of the chopper?

Accepted Answer

Option D: 600. Net price after successive discounts of 25% and 10%: $P = MP 	imes (1 - 0.25) 	imes (1 - 0.10) = 0.75 	imes 0.90 	imes MP = 0.675 MP$.
$0.675 MP = 405 \implies MP = \frac{405}{0.675} = 	ext{Rs. } 600$.

Question 10

Ram can complete a work in 12 days working 7 hours/day. Shyam can complete the same work in 8 days working 9 hours/day. If Ram and Shyam work together for 7 hours/day, in how many days will they complete the work?

Accepted Answer

Option B: $72/13$. Total hours needed: Ram $= 12 	imes 7 = 84	ext{ hrs}$, Shyam $= 8 	imes 9 = 72	ext{ hrs}$.
Hourly work rate combined $= \frac{1}{84} + \frac{1}{72} = \frac{6 + 7}{504} = \frac{13}{504}$.
Daily work rate (at 7 hrs/day) $= 7 	imes \frac{13}{504} = \frac{13}{72}$.
Total days required $= \frac{72}{13}	ext{ days}$.

Question 11

The present ratio of a brother and sister's age is 6:7. 12 years ago, the ratio was 3:4. Find the sum of their present ages in years.

Accepted Answer

Option B: 52. Let present ages be $6x$ and $7x$. $\frac{6x - 12}{7x - 12} = \frac{3}{4} \implies 24x - 48 = 21x - 36 \implies 3x = 12 \implies x = 4$.
Present ages: Brother $= 24$, Sister $= 28$. Sum of present ages $= 24 + 28 = 52	ext{ years}$.

Question 12

Find the square root of: $\sqrt{\frac{0.081}{0.0064} 	imes \frac{0.484}{6.25} 	imes \frac{2.5}{1.21}}$

Accepted Answer

Option B: 4.5. Simplifying decimals: $\sqrt{\frac{81}{6.4} 	imes \frac{484}{625} 	imes \frac{2.5}{1.21}} = \sqrt{\frac{81}{64} 	imes \frac{484}{121} 	imes \frac{25}{625} 	imes 100} = \frac{9}{8} 	imes \frac{22}{11} 	imes \frac{5}{25} 	imes 10 = \frac{9}{8} 	imes 2 	imes \frac{1}{5} 	imes 10 = \frac{9}{8} 	imes 4 = \frac{9}{2} = 4.5$.

Question 13

A principal sum becomes 27 times its original value in 3 years when compounded annually at a certain rate of interest. Calculate the annual interest rate.

Accepted Answer

Option D: 200%. Compound interest formula: $A = P(1 + r)^3 = 27P \implies (1 + r)^3 = 27 = 3^3 \implies 1 + r = 3 \implies r = 2 = 200\%$.

Question 14

If $x = \sqrt{5} + 2$, find the value of $x^3 - \frac{1}{x^3}$.

Accepted Answer

Option C: 76. $x = \sqrt{5} + 2 \implies \frac{1}{x} = \frac{1}{\sqrt{5} + 2} = \sqrt{5} - 2$.
$x - \frac{1}{x} = (\sqrt{5} + 2) - (\sqrt{5} - 2) = 4$.
$x^3 - \frac{1}{x^3} = \left(x - \frac{1}{x}\right)^3 + 3\left(x - \frac{1}{x}\right) = 4^3 + 3(4) = 64 + 12 = 76$.

Question 15

If the linear equations $28x + 8y + 15 = 0$ and $42x - ky - 21 = 0$ have no solution (parallel lines), then the value of $k$ is:

Accepted Answer

Option C: -12. For parallel lines with no solution: $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
e \frac{c_1}{c_2} \implies \frac{28}{42} = \frac{8}{-k} \implies \frac{2}{3} = \frac{8}{-k} \implies -2k = 24 \implies k = -12$.

Question 16

Triangle ABC is inscribed in a circle with centre O. If $AB = 17	ext{ cm}$, $BC = 10	ext{ cm}$, and $AC = 9	ext{ cm}$, find the area of triangle ABC.

Accepted Answer

Option B: $36	ext{ cm}^2$. Using Heron's formula: Semi-perimeter $s = \frac{17 + 10 + 9}{2} = 18	ext{ cm}$.
$	ext{Area} = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{18(18 - 17)(18 - 10)(18 - 9)} = \sqrt{18 	imes 1 	imes 8 	imes 9} = \sqrt{1296} = 36	ext{ cm}^2$.

Question 17

In an equilateral triangle ABC with side $16\sqrt{3}	ext{ cm}$, P is the centroid. What is the perpendicular distance of centroid P from side BC?

Accepted Answer

Option A: 8 cm. Altitude of equilateral triangle: $h = \frac{\sqrt{3}}{2} a = \frac{\sqrt{3}}{2} 	imes 16\sqrt{3} = 24	ext{ cm}$.
The distance from centroid P to any base side is the inradius: $r = \frac{h}{3} = \frac{24}{3} = 8	ext{ cm}$.

Question 18

In a circle with centre O, diameter AB is produced to an external point P, and PT is tangent to the circle at point C. If $\angle BPT = 28^\circ$, what is the measure of $\angle BCP$?

Accepted Answer

Option C: 31°. In $\Delta OPC$, $OC \perp PT \implies \angle OCP = 90^\circ$. $\angle POC = 180^\circ - (90^\circ + 28^\circ) = 62^\circ$.
Since $OB = OC$ (radii), $\Delta OBC$ is isosceles with $\angle OBC = \angle OCB = \frac{180^\circ - 62^\circ}{2} = 59^\circ$.
$\angle BCP = \angle OCP - \angle OCB = 90^\circ - 59^\circ = 31^\circ$.

Question 19

In a right circular cone, the base radius is 14 cm and height is 48 cm. A horizontal cross-section is made through the midpoint of the height parallel to the base. Find the volume of the smaller upper cone. (Take $\pi = 22/7$)

Accepted Answer

Option B: $1232	ext{ cm}^3$. By similar triangles, the upper cone has height $h = 24	ext{ cm}$ and radius $r = 7	ext{ cm}$.
$	ext{Volume} = \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \frac{22}{7} 	imes 7^2 	imes 24 = \frac{1}{3} 	imes 22 	imes 7 	imes 24 = 22 	imes 7 	imes 8 = 1232	ext{ cm}^3$.

Question 20

The pie chart shows how the school fund is spent under different heads in a certain school:

![School Budget Pie Chart](/figures/stock_assistant_2024_q20_pie.svg)

If the total expenditure of the school was 90 lakh, what percentage of the money is spent on Arts and Craft relative to the money spent on Sports?

Accepted Answer

Option A: 75%. $	ext{Percentage} = \frac{	ext{Art and Craft Angle}}{	ext{Sports Angle}} 	imes 100 = \frac{90^\circ}{120^\circ} 	imes 100 = \frac{3}{4} 	imes 100 = 75\%$.

Question 21

Which of the following is NOT a Union Territory of India?

Accepted Answer

Option D: Goa. Goa is a full-fledged State of the Indian Union (granted statehood on 30 May 1987). Puducherry, Chandigarh, and Delhi (NCT) are Union Territories.

Question 22

Which animal is the official State / UT Animal of Jammu and Kashmir?

Accepted Answer

Option A: Kashmir Stag (Hangul). The Kashmir Stag (*Cervus hanglu hanglu*), locally known as Hangul, is the critically endangered official State Animal of Jammu and Kashmir, conserved in Dachigam National Park.

Question 23

When were the last District Development Council (DDC) and Panchayat by-elections held in Jammu and Kashmir?

Accepted Answer

Option C: November-December 2020. The historic 8-phase DDC and Panchayat elections in Jammu & Kashmir were conducted between 28 November and 19 December 2020.

Question 24

According to the Constitution of India (73rd Constitutional Amendment Act), a Gram Panchayat is defined as a/an

Accepted Answer

Option C: Institution of local self-government. Under Article 243B and Part IX of the Constitution, Panchayats are constitutional institutions of local self-government established for rural areas.

Question 25

Which sport is widely recognized in national sporting tradition as the national game of India?

Accepted Answer

Option B: Field Hockey. While India does not have a legally declared official national sport under the Ministry of Youth Affairs, Field Hockey is universally recognized in traditional curriculum as India's national game.

Question 26

Professor Rehman Rahi is celebrated across India as an eminent

Accepted Answer

Option B: Kashmiri Poet and Jnanpith Laureate. Prof. Rehman Rahi (1925–2023) was Kashmir's foremost modern poet, who won the prestigious Sahitya Akademi Award in 1961 and became J&K's first Jnanpith Award laureate in 2007 (for *Siyah Rood Jearen Manz*).

Question 27

Tarachand Bhat is well known in Jammu and Kashmir as a

Accepted Answer

Option A: Freedom fighter and social reformer. Tarachand Bhat is recognized in regional history as a dedicated freedom fighter and social reformer.

Question 28

Which Indian freedom fighter gave the clarion call slogan 'Do or Die' (*Karo ya Maro*) during the Quit India Movement in 1942?

Accepted Answer

Option B: Mahatma Gandhi. Mahatma Gandhi delivered the famous 'Do or Die' speech at Gowalia Tank Maidan in Bombay on 8 August 1942, launching the Quit India Movement.

Question 29

According to the Census of India 2011, which states recorded the maximum and minimum literacy rates respectively?

Accepted Answer

Option C: Kerala & Bihar. In the 2011 Census, Kerala recorded the highest literacy rate at 94.00%, while Bihar recorded the lowest literacy rate at 61.80%.

Question 30

In the National Flag of India (Tiranga), which color band is positioned at the bottom?

Accepted Answer

Option A: Dark Green. The Indian National Flag is a horizontal tricolour of India Saffron at the top, White in the middle (with the navy blue 24-spoke Ashoka Chakra), and India Green (Dark Green) at the bottom.

Question 31

Find the wrong term in the series: 9, 12, 21, 128, 372

Accepted Answer

Option B: 128. Pattern: Differences are powers of 3 ($3^1=3, 3^2=9, 3^3=27, 3^4=81, 3^5=243$).
$9 + 3 = 12$
$12 + 9 = 21$
$21 + 27 = 48$
$48 + 81 = 129$
$129 + 243 = 372$.
Thus 128 is the wrong term.

Question 32

Find the missing term in the alphabet triplet series: JYH, HUI, FQJ, ?, BIL

Accepted Answer

Option A: DMK. Pattern:
- 1st letter: J(10) $\xrightarrow{-2}$ H(8) $\xrightarrow{-2}$ F(6) $\xrightarrow{-2}$ **D(4)** $\xrightarrow{-2}$ B(2)
- 2nd letter: Y(25) $\xrightarrow{-4}$ U(21) $\xrightarrow{-4}$ Q(17) $\xrightarrow{-4}$ **M(13)** $\xrightarrow{-4}$ I(9)
- 3rd letter: H(8) $\xrightarrow{+1}$ I(9) $\xrightarrow{+1}$ J(10) $\xrightarrow{+1}$ **K(11)** $\xrightarrow{+1}$ L(12)
Missing term is **DMK**.

Question 33

Find the wrong term in the letter cluster series: DKY, FLX, HMW, JOV, LOU

Accepted Answer

Option B: JOV. Pattern:
- 1st letter: D(4), F(6), H(8), J(10), L(12) ($+2$ each)
- 2nd letter: K(11), L(12), M(13), **N(14)**, O(15) ($+1$ each) $\implies$ 4th term should have N, not O.
- 3rd letter: Y(25), X(24), W(23), V(22), U(21) ($-1$ each)
Hence **JOV** is incorrect (it should be JNV).

Question 34

Find the next number in the series: 2, 9, 28, 65, 126, 217, ?

Accepted Answer

Option C: 344. Pattern is $n^3 + 1$ for integers $n = 1, 2, 3, 4, 5, 6, 7$:
$1^3 + 1 = 2$
$2^3 + 1 = 9$
$3^3 + 1 = 28$
$4^3 + 1 = 65$
$5^3 + 1 = 126$
$6^3 + 1 = 217$
$7^3 + 1 = 343 + 1 = 344$.

Question 35

Find the next letter triad in the series: EAC, GDF, IGI, ?

Accepted Answer

Option D: KJL. Progression:
- 1st letter: E(5) $\xrightarrow{+2}$ G(7) $\xrightarrow{+2}$ I(9) $\xrightarrow{+2}$ **K(11)**
- 2nd letter: A(1) $\xrightarrow{+3}$ D(4) $\xrightarrow{+3}$ G(7) $\xrightarrow{+3}$ **J(10)**
- 3rd letter: C(3) $\xrightarrow{+3}$ F(6) $\xrightarrow{+3}$ I(9) $\xrightarrow{+3}$ **L(12)**
Next term is **KJL**.

Question 36

A and B travel the same distance at speeds of 9 km/h and 12 km/h respectively. If A takes 11 minutes longer than B, what is the distance travelled by each?

Accepted Answer

Option C: 6.6 KM. Let distance be $D$. Difference in time $= 11	ext{ minutes} = \frac{11}{60}	ext{ hours}$.
$\frac{D}{9} - \frac{D}{12} = \frac{11}{60} \implies \frac{4D - 3D}{36} = \frac{11}{60} \implies \frac{D}{36} = \frac{11}{60} \implies D = \frac{11 	imes 36}{60} = \frac{396}{60} = 6.6	ext{ km}$.

Question 37

Aamir travelled 1800 km by air, which constituted $3/5th$ of his total journey. He travelled $1/3rd$ of the whole trip by car, and the remaining distance by train. How many kilometers did he travel by train?

Accepted Answer

Option B: 200 KM. Total trip distance $= \frac{1800}{3/5} = 1800 	imes \frac{5}{3} = 3000	ext{ km}$.
Distance by Car $= \frac{1}{3} 	imes 3000 = 1000	ext{ km}$.
Distance by Train $= 3000 - (1800 + 1000) = 3000 - 2800 = 200	ext{ km}$.

Question 38

Statements:
1. Some cities are towns.
2. All cities are villages.
3. No village is a district.
Conclusions:
I. Some villages are towns.
II. All districts being towns is a possibility.
Which conclusions logically follow?

Accepted Answer

Option C: Both I & II are true.. Since all cities are villages and some cities are towns, the overlapping part ensures Some villages are towns (Conclusion I is valid). Districts cannot be villages, but they can freely overlap with the non-village part of towns (Conclusion II is a valid possibility). Both I & II are true.

Question 39

Statements:
- All pets are animals.
- All animals are mammals.
- No animal is a fish.
- Some fishes are birds.
Which of the following conclusions is definitely TRUE?

Accepted Answer

Option D: No pet is a fish. Since all pets are entirely inside animals, and no animal is a fish, it directly and conclusively follows that No pet is a fish.

Question 40

A person incurs a 5% loss by selling a watch for Rs. 1140. At what price should the watch be sold to earn a 5% profit?

Accepted Answer

Option D: Rs. 1260. Cost Price: $CP = \frac{1140}{1 - 0.05} = \frac{1140}{0.95} = 	ext{Rs. } 1200$.
For 5% profit: $SP = 1200 	imes (1 + 0.05) = 1200 	imes 1.05 = 	ext{Rs. } 1260$.

Question 41

A is thrice as efficient a workman as B, and takes 10 days less than B to finish a piece of work. If B alone takes 15 days, how many days will A alone take to finish the work?

Accepted Answer

Option B: 5. Let B take $3x$ days, then A takes $x$ days. Time difference: $3x - x = 2x = 10 \implies x = 5	ext{ days}$. Thus A takes 5 days (and B takes 15 days).

Question 42

Find a single discount equivalent to two successive discounts of 10% and 20%.

Accepted Answer

Option B: 28%. Formula for equivalent single discount: $D = d_1 + d_2 - \frac{d_1 d_2}{100} = 10 + 20 - \frac{10 	imes 20}{100} = 30 - 2 = 28\%$.

Question 43

A shopkeeper mixes 6 kg of tea worth Rs. 6 per kg with 4 kg of tea worth Rs. 7 per kg. What is the weighted average cost of the mixture per kg?

Accepted Answer

Option A: Rs. 6.4. Total cost $= (6 	imes 6) + (4 	imes 7) = 36 + 28 = 	ext{Rs. } 64$.
Total weight $= 6 + 4 = 10	ext{ kg}$.
Cost per kg $= \frac{64}{10} = 	ext{Rs. } 6.4$.

Question 44

The average weight of a group of three friends is 55 kg. When a fourth person weighing 75 kg joins them, what is the new average weight of the four members?

Accepted Answer

Option A: 60kg. Sum of weights of 3 friends $= 3 	imes 55 = 165	ext{ kg}$.
New sum with 4th person $= 165 + 75 = 240	ext{ kg}$.
New average $= \frac{240}{4} = 60	ext{ kg}$.

Question 45

According to the Census of India 2011, which Indian State recorded the highest sex ratio (1,084 females per 1,000 males)?

Accepted Answer

Option A: Kerala. Kerala recorded the highest sex ratio in India with 1,084 females per 1,000 males in the 2011 Census.

Question 46

Which of the following agricultural crops is categorized as a commercial Cash Crop?

Accepted Answer

Option C: Sugarcane. Sugarcane is a premier commercial cash crop grown specifically for agro-industrial processing into sugar and ethanol.

Question 47

Who was the renowned 14th-century mystic saint of Kashmir who founded the indigenous Rishi order (*Reshiyat*) and assumed the title of Rishi?

Accepted Answer

Option C: Sheikh Noor-ud-Din Noorani (Nund Rishi). Sheikh Noor-ud-Din Noorani (Alamdar-e-Kashmir, also known as Nund Rishi, 1377–1438) founded the spiritual Rishi order promoting communal harmony, non-violence, and Kashmiri spiritual poetry (Shruks).

Question 48

Which of the following economic activities comes under the Tertiary (Services) Sector of the economy?

Accepted Answer

Option B: Tourism & Hospitality. Tourism and hospitality provide intangible consumer services and belong to the Tertiary sector. (Mining is primary, and manufacturing is secondary).

Question 49

In 1965, the constitutional head of Jammu & Kashmir was redesignated as Governor through the 6th J&K Constitutional Amendment. What was this post previously designated as?

Accepted Answer

Option C: Sadr-i-Riyasat. Under the Jammu and Kashmir Constitution Amendment Act, 1965, the title of 'Sadr-i-Riyasat' was replaced by 'Governor', and 'Prime Minister (Wazir-e-Azam)' was replaced by 'Chief Minister'.

Question 50

The Uri Hydroelectric Dam (Uri-I and Uri-II) is located on which river in the Baramulla district of Jammu & Kashmir?

Accepted Answer

Option D: Jhelum River. The Uri Hydroelectric Project (480 MW Uri-I and 240 MW Uri-II) is constructed on the Jhelum River near the Line of Control in Baramulla district, Kashmir.

Question 51

The lacustrine plateau uplands of Pampore (locally called 'Wudar' or Karewas) in Kashmir are world-famous for the commercial cultivation of which precious spice?

Accepted Answer

Option B: Saffron (Zafran). Pampore's Karewa formations (Wudar) provide ideal calcium-rich lacustrine soil and sub-temperate climate for Kashmir Saffron (*Crocus sativus*), which holds a GI tag.

Question 52

With respect to the erstwhile State of Jammu & Kashmir, Part XXI of the Constitution of India classified Article 370 under which heading?

Accepted Answer

Option C: Temporary Provisions. Part XXI of the Constitution of India is titled 'Temporary, Transitional and Special Provisions', and Article 370 was explicitly titled 'Temporary provisions with respect to the State of Jammu and Kashmir'.

Question 53

Who was the ruler of the princely state of Jammu and Kashmir who signed the Instrument of Accession with the Dominion of India on 26 October 1947?

Accepted Answer

Option A: Maharaja Hari Singh. Maharaja Hari Singh, the last ruling monarch of the Dogra dynasty, executed the Instrument of Accession on 26 October 1947.

Question 54

Under the Seventh Schedule of the Constitution of India, 'Economic and Social Planning' is placed in which Legislative List?

Accepted Answer

Option C: Concurrent List (List III). Entry 20 of the Concurrent List (List III) in the Seventh Schedule deals with 'Economic and social planning', allowing both Parliament and State Legislatures to enact laws.

Question 55

In which year was the Constitution of Jammu and Kashmir formally adopted by its Constituent Assembly?

Accepted Answer

Option B: 1956. The Constituent Assembly of Jammu and Kashmir adopted the State Constitution on 17 November 1956, and it came into full force on 26 January 1957.

Question 56

Which constitutional writ issued by the Supreme Court or High Courts commands a public official or authority to perform a mandatory statutory duty that they have failed or refused to perform?

Accepted Answer

Option B: Mandamus. The writ of Mandamus (Latin for 'We Command') is an order issued to compel a public official, body, or tribunal to perform an obligatory public duty.

Question 57

Which of the following is an Indirect Tax?

Accepted Answer

Option C: Sales Tax / GST. Sales Tax / GST is an Indirect Tax levied on goods and services where the tax incidence is passed on to the final consumer. Income Tax and Corporation Tax are Direct Taxes.

Question 58

Which of the following indirect taxes was subsumed and abolished upon the nationwide rollout of the Goods and Services Tax (GST)?

Accepted Answer

Option C: Value Added Tax (VAT). The 101st Constitutional Amendment Act (GST) subsumed 17 major central and state indirect taxes, including State VAT/Sales Tax, Central Excise, and Service Tax.

Question 59

In the Kashmir Valley, the major religious festival of 'Maha Shivaratri' is traditionally celebrated by Kashmiri Pandits under what indigenous name?

Accepted Answer

Option C: Herath. Kashmiri Pandits celebrate Shivaratri over a fortnight as 'Herath' (derived from the Sanskrit *Hararatri* — Night of Hara/Shiva), involving traditional vatuk puja with walnuts.

Question 60

The world-famous luxury Pashmina shawl wool (Cashmere) is harvested from the underbelly coat of which animal?

Accepted Answer

Option A: Capra hircus Goat (Changthangi / Pashmina Goat). Genuine authentic Pashmina wool is hand-combed exclusively from the fine down undercoat of the Changthangi goat (*Capra hircus laniger*) native to the high-altitude plateau of Ladakh.

Question 61

'Operation Sesha', launched by the Directorate of Revenue Intelligence (DRI) and Customs authorities, aims to curb the illicit international trafficking of:

Accepted Answer

Option B: Red Sanders / Timber. Operation Sesha is a targeted global interdiction operation initiated by India's Customs administration to crack down on the illegal export and smuggling of Red Sanders and precious timber.

Question 62

The highest mountain peak located entirely within the undisputed sovereign territory of India (Kangchenjunga, $8,586	ext{ m}$) is in which state?

Accepted Answer

Option C: Sikkim. Mount Kangchenjunga ($8,586	ext{ m}$) in Sikkim is the highest peak in India (and 3rd highest in the world).

Question 63

Which world-famous climatologist was inspired by Albrecht Penck's geomorphological ideas to create the empirical Köppen Climate Classification system?

Accepted Answer

Option A: Wladimir Köppen. Russian-German climatologist Wladimir Köppen developed the widely used vegetation-based world climate classification scheme in 1884, heavily influenced by Penck and De Candolle.

Question 64

Which is the longest National Highway in India, running $3,745	ext{ km}$ from Srinagar to Kanyakumari (formerly designated as NH-7 in the south)?

Accepted Answer

Option C: NH7 (now NH44). National Highway 44 (formerly designated as NH-7 for its major central/southern segment) is India's longest highway spanning from Srinagar in J&K to Kanyakumari in Tamil Nadu.

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In this question, four words have been given, out of which three are alike in some manner and the fourth one is different. Choose out the odd one.

Which number triad does NOT belong to the group?A) (7, 9, 10)B) (13, 36, 7)C) (5, 25, 10)D) (11, 16, 8)

Three different positions of the same dice are shown below. Which symbol is on the face opposite to 3?

In a class of 40 students, 20 have chosen Mathematics and 15 have chosen Mathematics but not Biology. If every student chose either Mathematics or Biology or both, find the number of students who chose both Mathematics and Biology.

What is the greatest 5-digit number which is exactly divisible by 85?

Eiffel tower's 1/5th1/5th1/5th part is painted bronze. 1/4th1/4th1/4th of the remaining part is painted maroon. The rest has a golden color. If the height of the golden colored part is 450 m, what is the total height of the Eiffel tower?

A shopkeeper gains a profit of 15% on selling a book after offering a 20% discount on the marked printed price. The ratio of the printed price to the cost price of the book is:

In a Diwali sale, there was a 25% discount on electric choppers. Sudha received an additional 10% cash discount and paid Rs. 405. What was the original tagged printed price of the chopper?

Ram can complete a work in 12 days working 7 hours/day. Shyam can complete the same work in 8 days working 9 hours/day. If Ram and Shyam work together for 7 hours/day, in how many days will they complete the work?

The present ratio of a brother and sister's age is 6:7. 12 years ago, the ratio was 3:4. Find the sum of their present ages in years.

Find the square root of: 0.0810.0064×0.4846.25×2.51.21\sqrt{\frac{0.081}{0.0064} \times \frac{0.484}{6.25} \times \frac{2.5}{1.21}}0.00640.081​×6.250.484​×1.212.5​​

A principal sum becomes 27 times its original value in 3 years when compounded annually at a certain rate of interest. Calculate the annual interest rate.

If x=5+2x = \sqrt{5} + 2x=5​+2, find the value of x3−1x3x^3 - \frac{1}{x^3}x3−x31​.

If the linear equations 28x+8y+15=028x + 8y + 15 = 028x+8y+15=0 and 42x−ky−21=042x - ky - 21 = 042x−ky−21=0 have no solution (parallel lines), then the value of kkk is:

Triangle ABC is inscribed in a circle with centre O. If AB=17 cmAB = 17\text{ cm}AB=17 cm, BC=10 cmBC = 10\text{ cm}BC=10 cm, and AC=9 cmAC = 9\text{ cm}AC=9 cm, find the area of triangle ABC.

In an equilateral triangle ABC with side 163 cm16\sqrt{3}\text{ cm}163​ cm, P is the centroid. What is the perpendicular distance of centroid P from side BC?

In a circle with centre O, diameter AB is produced to an external point P, and PT is tangent to the circle at point C. If ∠BPT=28∘\angle BPT = 28^\circ∠BPT=28∘, what is the measure of ∠BCP\angle BCP∠BCP?

In a right circular cone, the base radius is 14 cm and height is 48 cm. A horizontal cross-section is made through the midpoint of the height parallel to the base. Find the volume of the smaller upper cone. (Take π=22/7\pi = 22/7π=22/7)

The pie chart shows how the school fund is spent under different heads in a certain school:If the total expenditure of the school was 90 lakh, what percentage of the money is spent on Arts and Craft relative to the money spent on Sports?

Which of the following is NOT a Union Territory of India?

Which animal is the official State / UT Animal of Jammu and Kashmir?

When were the last District Development Council (DDC) and Panchayat by-elections held in Jammu and Kashmir?

According to the Constitution of India (73rd Constitutional Amendment Act), a Gram Panchayat is defined as a/an

Which sport is widely recognized in national sporting tradition as the national game of India?

Professor Rehman Rahi is celebrated across India as an eminent

Tarachand Bhat is well known in Jammu and Kashmir as a

Which Indian freedom fighter gave the clarion call slogan 'Do or Die' (Karo ya Maro) during the Quit India Movement in 1942?

According to the Census of India 2011, which states recorded the maximum and minimum literacy rates respectively?

In the National Flag of India (Tiranga), which color band is positioned at the bottom?

Find the wrong term in the series: 9, 12, 21, 128, 372

Find the missing term in the alphabet triplet series: JYH, HUI, FQJ, ?, BIL

Find the wrong term in the letter cluster series: DKY, FLX, HMW, JOV, LOU

Find the next number in the series: 2, 9, 28, 65, 126, 217, ?

Find the next letter triad in the series: EAC, GDF, IGI, ?

A and B travel the same distance at speeds of 9 km/h and 12 km/h respectively. If A takes 11 minutes longer than B, what is the distance travelled by each?

Aamir travelled 1800 km by air, which constituted 3/5th3/5th3/5th of his total journey. He travelled 1/3rd1/3rd1/3rd of the whole trip by car, and the remaining distance by train. How many kilometers did he travel by train?

Statements:1. Some cities are towns.2. All cities are villages.3. No village is a district.Conclusions:I. Some villages are towns.II. All districts being towns is a possibility.Which conclusions logically follow?

Statements:- All pets are animals.- All animals are mammals.- No animal is a fish.- Some fishes are birds.Which of the following conclusions is definitely TRUE?

A person incurs a 5% loss by selling a watch for Rs. 1140. At what price should the watch be sold to earn a 5% profit?

A is thrice as efficient a workman as B, and takes 10 days less than B to finish a piece of work. If B alone takes 15 days, how many days will A alone take to finish the work?

Find a single discount equivalent to two successive discounts of 10% and 20%.

A shopkeeper mixes 6 kg of tea worth Rs. 6 per kg with 4 kg of tea worth Rs. 7 per kg. What is the weighted average cost of the mixture per kg?

The average weight of a group of three friends is 55 kg. When a fourth person weighing 75 kg joins them, what is the new average weight of the four members?

According to the Census of India 2011, which Indian State recorded the highest sex ratio (1,084 females per 1,000 males)?

Which of the following agricultural crops is categorized as a commercial Cash Crop?

Who was the renowned 14th-century mystic saint of Kashmir who founded the indigenous Rishi order (Reshiyat) and assumed the title of Rishi?

Which of the following economic activities comes under the Tertiary (Services) Sector of the economy?

In 1965, the constitutional head of Jammu & Kashmir was redesignated as Governor through the 6th J&K Constitutional Amendment. What was this post previously designated as?

The Uri Hydroelectric Dam (Uri-I and Uri-II) is located on which river in the Baramulla district of Jammu & Kashmir?

The lacustrine plateau uplands of Pampore (locally called 'Wudar' or Karewas) in Kashmir are world-famous for the commercial cultivation of which precious spice?

With respect to the erstwhile State of Jammu & Kashmir, Part XXI of the Constitution of India classified Article 370 under which heading?

Who was the ruler of the princely state of Jammu and Kashmir who signed the Instrument of Accession with the Dominion of India on 26 October 1947?

Under the Seventh Schedule of the Constitution of India, 'Economic and Social Planning' is placed in which Legislative List?

In which year was the Constitution of Jammu and Kashmir formally adopted by its Constituent Assembly?

Which constitutional writ issued by the Supreme Court or High Courts commands a public official or authority to perform a mandatory statutory duty that they have failed or refused to perform?

Which of the following is an Indirect Tax?

Which of the following indirect taxes was subsumed and abolished upon the nationwide rollout of the Goods and Services Tax (GST)?

In the Kashmir Valley, the major religious festival of 'Maha Shivaratri' is traditionally celebrated by Kashmiri Pandits under what indigenous name?

The world-famous luxury Pashmina shawl wool (Cashmere) is harvested from the underbelly coat of which animal?

'Operation Sesha', launched by the Directorate of Revenue Intelligence (DRI) and Customs authorities, aims to curb the illicit international trafficking of:

The highest mountain peak located entirely within the undisputed sovereign territory of India (Kangchenjunga, 8,586 m8,586\text{ m}8,586 m) is in which state?

Which world-famous climatologist was inspired by Albrecht Penck's geomorphological ideas to create the empirical Köppen Climate Classification system?

Which is the longest National Highway in India, running 3,745 km3,745\text{ km}3,745 km from Srinagar to Kanyakumari (formerly designated as NH-7 in the south)?

In the demographic history of India, which period is officially characterized as the 'Period of Population Explosion'?

Sasthamkotta Lake, acclaimed as the 'Queen of Lakes' and the largest freshwater lake in Kerala, is situated in which state?

The 'Golden Revolution' in Indian agriculture is associated with the exponential development of:

Who among the following 13th-century Sufi musician-poets is credited as the originator of the Khayal and Tarana styles in Hindustani Classical Music?

Who was selected by Mahatma Gandhi as the FIRST Satyagrahi to offer Individual Satyagraha in October 1940 at Paunar?

Which specific historic date is solemnly mentioned in the Preamble of the Constitution of India as the date of its adoption?

Astrophysicists using the ALMA observatory in which country recently discovered an ultra-faint, dust-obscured 'Invisible Black Galaxy' from the early universe?

The greenhouse effect in the Earth's atmosphere is physically produced due to the

Which official Income Tax form is used by an Indian resident citizen or corporate entity to apply for the allotment of a Permanent Account Number (PAN)?

The grand 8th-century ruins of the Martand Sun Temple are situated in which district of Jammu & Kashmir?

Which Mughal Emperor laid out the iconic Shalimar Bagh (1619) and visited the Nishat Bagh on the banks of Dal Lake in Srinagar?

The 'Purple Revolution' (Aroma Mission) initiated by the Ministry of Science and Technology in Jammu & Kashmir is associated with the large-scale cultivation of:

Which city/district in Jammu and Kashmir is famously nicknamed the 'City of Temples'?

Who built the historic Rajouri Fort (Dhanidhar Fort) at Dhanidhar village in Rajouri?

Which number triad does NOT belong to the group?
A) (7, 9, 10)
B) (13, 36, 7)
C) (5, 25, 10)
D) (11, 16, 8)

Eiffel tower's $1/5th$ part is painted bronze. $1/4th$ of the remaining part is painted maroon. The rest has a golden color. If the height of the golden colored part is 450 m, what is the total height of the Eiffel tower?

Find the square root of: $\sqrt{\frac{0.081}{0.0064} \times \frac{0.484}{6.25} \times \frac{2.5}{1.21}}$

If $x = \sqrt{5} + 2$ , find the value of $x^3 - \frac{1}{x^3}$ .

If the linear equations $28x + 8y + 15 = 0$ and $42x - ky - 21 = 0$ have no solution (parallel lines), then the value of $k$ is:

Triangle ABC is inscribed in a circle with centre O. If $AB = 17\text{ cm}$ , $BC = 10\text{ cm}$ , and $AC = 9\text{ cm}$ , find the area of triangle ABC.

In an equilateral triangle ABC with side $16\sqrt{3}\text{ cm}$ , P is the centroid. What is the perpendicular distance of centroid P from side BC?

In a circle with centre O, diameter AB is produced to an external point P, and PT is tangent to the circle at point C. If $\angle BPT = 28^\circ$ , what is the measure of $\angle BCP$ ?

In a right circular cone, the base radius is 14 cm and height is 48 cm. A horizontal cross-section is made through the midpoint of the height parallel to the base. Find the volume of the smaller upper cone. (Take $\pi = 22/7$ )

The pie chart shows how the school fund is spent under different heads in a certain school:

If the total expenditure of the school was 90 lakh, what percentage of the money is spent on Arts and Craft relative to the money spent on Sports?

Aamir travelled 1800 km by air, which constituted $3/5th$ of his total journey. He travelled $1/3rd$ of the whole trip by car, and the remaining distance by train. How many kilometers did he travel by train?

Statements:
1. Some cities are towns.
2. All cities are villages.
3. No village is a district.
Conclusions:
I. Some villages are towns.
II. All districts being towns is a possibility.
Which conclusions logically follow?

Statements:
- All pets are animals.
- All animals are mammals.
- No animal is a fish.
- Some fishes are birds.
Which of the following conclusions is definitely TRUE?

The highest mountain peak located entirely within the undisputed sovereign territory of India (Kangchenjunga, $8,586\text{ m}$ ) is in which state?

Which is the longest National Highway in India, running $3,745\text{ km}$ from Srinagar to Kanyakumari (formerly designated as NH-7 in the south)?

Fill in the blanks: "The teacher must the unique style of a learner in order to it to the desired knowledge."

Choose the meaning of the bold idiom in the sentence:
"The cashier wiped the nose of his employer by presenting false bills."

Fill in the blanks using suitable modal verbs:
"We be honest under all circumstances. If we work hard, we pass."

Fill in the blanks: "The whole country was with forests and swamps. The part of it was very misty and cold."

Fill in the blanks: "There were screams, chills and thrills at the discotheque the other night as the director along with the producers hosted a party to the success of their latest horror flick."

Assemble the scattered segments into a coherent sentence:
P. agreed to a ceasefire today
Q. in which 51 people were killed
R. after a week of fighting
S. Georgian loyalists and rebel forces

If '' means '+', '/' means '', '-' means '/', and '+' means '-', evaluate the arithmetic expression: $40 / 60 - 15 * 30 + 25$ .

In a code language, FRIEND is written as GQJDOC (pattern: $+1, -1, +1, -1, +1, -1$ ). How will PEACE be written in that language?

If $>$ denotes $+$ , $<$ denotes -, $+$ denotes $\div$ , $#$ denotes $\times$ , - denotes $=$ , $\times$ denotes $>$ , and $=$ denotes $<$ . Which of the following mathematical statements is TRUE?