JKSSB PYQ asked In JKSSB Laboratory Attendant Exam
- A television is sold at an 8% profit. If the sale price had been reduced by Rs. 2,553, it would have resulted in a 15% loss. What selling price is required to achieve an 18% profit? Options: A) 11,100 | B) 13,098 | C) 15,000 | D) 9,102
- One card is chosen randomly from a deck of 100 cards numbered consecutively from 1 to 100. What is the probability that the chosen card displays a perfect square number? Options: A) 1/10 | B) 1/100 | C) 9/10 | D) 90/100
- A sphere is inscribed inside a cube such that it touches every face. If a represents the ratio of the cube's volume to the sphere's volume, and b represents the ratio of the sphere's surface area to the cube's surface area, what is the product ab? Options: A) \pi^2/30 | B) 4 | C) 36/\pi^2 | D) 1
- If 17 times the cost price of an item equals 8 times the sum of its cost price and selling price, what is the overall profit or loss percentage? Options: A) Loss of 15% | B) Gain of 17.5% | C) Gain of 12.5% | D) Loss of 30%
- A principal loan amount of 10,000 is settled via 15 monthly installments of 800 each. What is the implied annual percentage rate of return? Options: A) 16% p.a. | B) 18% p.a. | C) 15% p.a. | D) 17% p.a.
- An order consists of 4 pairs of black socks and an unknown quantity of brown pairs, where a pair of black socks costs twice as much as a pair of brown socks. Due to an error while billing, the quantities of black and brown pairs were swapped, resulting in a 50% increase in total cost. What was the original ratio of black to brown pairs ordered? Options: A) 2:1 | B) 1:4 | C) 1:2 | D) 4:1
- A cone is tightly fitted inside a cube of volume 343\text{ cm}^3 such that its circular base is tangent to the edges of one face and its vertex rests on the opposing face. What is the approximate volume of this cone? Options: A) 70\text{ cm}^3 | B) 80\text{ cm}^3 | C) 90\text{ cm}^3 | D) 60\text{ cm}^3
- The annual compound interest earned on a principal sum over two years at an 8% annual rate is Rs. 6,656. What would be the simple interest earned on the same principal at the same rate for two years? Options: A) Rs. 6,224 | B) Rs. 6,400 | C) Rs. 5,600 | D) Rs. 6,336
- The dimensions (length, breadth, height) of a rectangular box are in the proportion 3 : 2 : 4. Wrapping its total surface area with paper costs Rs. 1.50 per square meter, totaling Rs. 1,950. What is 50% of the box's volume in cubic meters? Options: A) 1,500 | B) 1,750 | C) 1,800 | D) 1,600
- A standard six-sided die is rolled once. What is the probability of rolling an outcome of 3 or higher? Options: A) 1/2 | B) 1/3 | C) 1/4 | D) 2/3
- A vehicle travels a given distance at a speed of 50 km/h and makes the return journey along the same path at 40 km/h. What is the average speed across the complete round trip? Options: A) 44.4 km/h | B) 46.4 km/h | C) 46.8 km/h | D) 48.6 km/h
- By raising his travelling speed by 25%, a person reduces the time required for a journey by 1 hour. How long would the trip have taken at his initial speed? Options: A) 3 hours | B) 4 hours | C) 5 hours | D) 6 hours
- Two trains measuring 120 m and 180 m in length head toward each other on parallel tracks at speeds of 54 km/h and 72 km/h, respectively. How many seconds will it take for them to completely pass each other? Options: A) 12 sec | B) 9 sec | C) 15 sec | D) 20 sec
- In an arithmetic progression, the sum of the 3rd and 4th terms is 19, while the sum of the 1st and 7th terms is 22. What is the value of the 9th term? Options: A) 16 | B) 17 | C) 15 | D) 26
- Which of the following mathematical statements correctly compares the radical expressions? Options: A) \sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2} | B) \sqrt{5}+\sqrt{3}<\sqrt{6}+\sqrt{2} | C) \sqrt{5}+\sqrt{3}=\sqrt{6}+\sqrt{2} | D) (\sqrt{5}+\sqrt{3})(\sqrt{6}+\sqrt{2})=1
- The largest possible cone is carved out from a solid wooden hemisphere. What fraction (as a percentage) of the original hemisphere's volume remains unused? Options: A) 33.33% | B) 50% | C) 75% | D) 66.66%
- For real numbers x and y, what is the minimum value achievable by the algebraic expression x^2 + 4xy + 6y^2 - 4y + 4? Options: A) -4 | B) 0 | C) 2 | D) 4
- The total height and base radius of a solid right circular cylinder sum to 46 cm. If its total surface area is 6,072\text{ cm}^2, what is its total volume in \text{cm}^3? (Take \pi = 22/7) Options: A) 6072\pi | B) 1085\pi | C) 3036\pi | D) 11025\pi
- Two metallic cones with base radii of 2.1 cm each and heights of 3.8 cm and 4.6 cm are melted down and recast to form a single solid sphere. What is the diameter of this sphere in cm? Options: A) 4.2 | B) 1.4 | C) 3.5 | D) 6.3
- A vendor purchases 40 identical units of an item at Rs. 50 each. He sells 35 units at a 20% profit margin and liquidates the remaining 5 damaged units at a 10% loss. What is his overall profit percentage across all 40 items? Options: A) 30% | B) 10% | C) 16.25% | D) 32.5%
- On a principal sum invested at 17% per annum for 2 years, the difference between compound interest (compounded annually) and simple interest is Rs. 433.50. What is the value of the principal sum? Options: A) 12,000 | B) 15,000 | C) 25,000 | D) 20,000
- The arithmetic mean of two numbers X and Y is 41, and their geometric mean is 9. Which of the following is a possible value for X? Options: A) 125 | B) 81 | C) 49 | D) 25
- Two products, X and Y, have identical cost prices. Product X is sold at a 20% profit, while product Y sells for Rs. 126 less than product X. If the combined profit on both sales is 14%, what is the individual cost price of each product? Options: A) 1,260 | B) 840 | C) 1,080 | D) 1,050