Quantitative Aptitude PYQ — Page 121
24,303 questions across SSC exams.
SSC CGL • 2024
The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the…
SSC CGL • 2020
If x + 3y + 2 = 0, then the value of x³ + 27y³ + 8 - 18xy is:
SSC MTS • 2022
A large solid cube is melted and cast into 'N' small solid spheres, each of radius 3 cm, and N + 2' small solid cuboids, each of dimensions 4 cm × 4 cm × 6.5 cm. If the length of each side of the large solid cube is 12 cm, then find the value of 'N'.
SSC CGL • 2023
The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?
SSC CPO • 2025
What interest rate is required for ₹4000 to amounts to ₹4840 in 2 years with compound interest?
SSC GD • 2024
A man buys 15 mangoes for a rupee. How many mangoes had he sold for a rupee so that there is a loss of 25 percent?
SSC CGL • 2022
Find the number of common tangents, if r₁ + r₂ = C₁C₂.(With usual notations, r₁ & r₂ and C₁ & C₂ are the radii and centres of the two circles.)
SSC GD • 2024
Prithvi has pears and peaches in the ratio of 10 : 13. Celine has pears and peaches in the ratio of 7:9. Vikram has pears and peaches in the ratio of 5 : 7. Who has a greater catio of pears to peaches?
SSC CHSL • 2021
The length of the base of a right - angled triangle is 40 cm and its hypotenuse is 41 cm long. What is the area (in cm²) and perimeter (in cm), respectively?
SSC CHSL • 2023
The divisor is 10 times the quotient and 5 times the remainder in a division sum. what is the dividend if the reminder is 46?
SSC GD • 2023
What is the average of the first six even numbers?
SSC Selection Post • 2020
The value of ( 1over2 of 1 1over2 ) ÷ (3 1over2 - 1 1over4 ) of 1 1over2 - 1 1over2 ÷ 2 1over4 + 1 1over3 is:
SSC Selection Post • 2022
The average of twelve numbers is 25. If each number is added by 6, then the new average will be:
SSC GD • 2023
Find the square of the sum of the digits of the smallest number divisible by 18 and 24.
SSC CGL • 2025
In △ ABC, a median AD is drawn to side BC. What is the ratio of the area of △ ABD to the area of △ ACD?
SSC GD • 2023
A man borrows ₹ 3,310 and undertakes to pay it back with compound interest at 10% per annum in three equal yearly installments at the end of the first, second, and third years. What is the amount of each installment?
SSC Selection Post • 2022
A person received a yearly salary hike of 15%, 20%, and 25% in 3 successive years. What is the total salary of the person after 3 years if his initial salary was Rs. 20,000?
SSC CHSL • 2023
△PQR is a right angled triangle, ∠Q = 90 degree, PQ = 12 cm, QR = 5 cm. What is the value of cot P − tan R?
SSC CGL • 2022
16cos ³(rmπ )/6 - 12cos (rmπ )/6 = \_\_\_\_\_\_\_\_.
SSC CGL • 2022
If the ratio of corresponding sides of two similar triangles is √3 ∶ √2 then what is the ratio of the area of the two triangles?
SSC CHSL • 2025
If the satellite signal equation is (3x - 4)², what is the expanded expression?
SSC CGL • 2022
What is the compound interest (in RS) on a sum of Rs 62,500 for 2 years at 12% p.a., if the interest is compounded 8- monthly?
SSC CHSL • 2022
If the volume of a cube is 27 m³ , find its surface area (in m²).
SSC CHSL • 2024
In an engineering college, there are four branches namely Computer Science (CS), Electronics (EC), Civil (CE), and Mechanical (ME). The respective ratio of the number of students in these branches is 11 : 5 : 6 : 7. What is the percentage of students…
SSC MTS • 2022
The average of a set of fifteen numbers is 12. If 7 is added to each of the numbers in the given set, then what will be the new average?
SSC MTS • 2022
If Rahul's monthly salary is Rs 3,00,000 and his salary increases by 15% in the next month, then what will his salary be after the increase of 15%?
SSC CGL • 2023
A car travels the first 160 km at a speed of 64 km/h and the next 160 km at a speed of 80 km/hr What is the average speed for the first 320 km of the tour?
SSC Selection Post • 2022
A certain sum is divided among A, B and C in such a way that the ratio of shares of A and B is 3 : 4 and that of share of C and B is 9 : 5. If the difference between the shares of A and C is ₹462, than the sum (in ₹) is:
SSC CGL • 2023
If the volume of one brick is 0.0014 m³, then how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m and height 5 m?
SSC CGL • 2024
The ratio of the ages of A and B, 3 years ago, was 5 : 7. The ratio of their ages, 13 years from now, will be 9 : 11. If the present age of C is 11 years less than that of B, then the present age of C, in years, is:
SSC CGL • 2023
Simplify 2.5 × [144 ÷ 198 × {121 × 81 ÷ (11 × 9)}]
SSC CHSL • 2024
The market price of a table lamp is ₹2,165. During the festive season, it is sold for ₹1,710.35. Find the percentage discount offered.
SSC CGL • 2024
What is the difference between Delhi's sales for the month of June and Chennai's sales for the month of July?
SSC CGL • 2020
In ∠ABC, ∠C = 90ᵒ, AC = 5 cm and BC = 12 cm. The bisector of ∠A meets BC at D. What is the length of AD?
SSC CHSL • 2021
What number should be subtracted from 4(sin⁴ 60º + cos⁴ 30º) - (tan² 45º - cot² 30º) + cos² 45º - cosec² 45º + sec² 60º to get 2?
SSC GD • 2023
In an alloy of 60 grams, the ratio of gold and copper is 2 : 1. How much more of copper should be added to make the ratio 1 : 2?
SSC GD • 2023
A retailer announces a discount of 40% for selling a food processor marked at ₹86,000. The cost price of the food processor is 60% below the marked price. He offers a further discount of 10% if the buyer presents his membership card of the retailer’s store…
SSC MTS • 2022
If a person purchases an item at ₹3,000 and he sells it at 10% profit, then find the selling price of the item.
SSC Selection Post • 2022
A man invested ₹7,050 for 5 years at the rate of 8% simple interest per annum, What will be two-third of the money (in ₹)that he will get on maturity?
SSC CHSL • 2020
The value of (Sin30ᵒCos60ᵒ + Cos45ᵒSin45ᵒ)/(tan60ᵒCot30ᵒ) is:
SSC GD • 2019
Raju purchased glasses at the rate of Rs. 15 per glass and sold them at the rate of Rs. 12 per glass. On selling 42 glasses, what will be the loss percentage?
SSC CHSL • 2023
Out of two numbers, 20% of the smaller number is equal to 14% of the larger number. If the sum of both the numbers is 8942, then what is the value of the larger number?
SSC CGL • 2024
If ∆ABC and ∆QPR are congruent triangles such that AB = 7 cm, AC = 8 cm, ∠B = 65°, and ∠C = 75°, then which of the following is true?
SSC CHSL • 2024
Simplify the given expression. 8 - 5 ÷ 2³ × 3 + (7 ÷ 7 × 7)÷ 7 + (3 × 6 ÷ 1/3)× 1/(3³)
SSC Selection Post • 2022
If the average of 20, 25, (p + 1), (2p + 5), and (p + 11) is 22, then the value of p is:
SSC CGL • 2022
If the volume of a sphere is 179 2/3 m³, what is its surface area?
SSC GD • 2025
If 2% of x = 240, then x is equal to:
SSC CHSL • 2021
ABCD is a cyclic quadrilateral whose diagonals intersect at P. If ∠DBC = 72º and ∠BAC = 42º , then the measure of ∠BCD (in degrees) is:
SSC Selection Post • 2023
Shivam can do a piece of work in 6 days, and Vivek in 24 days. They started work together, but Shivam left the work 3 days before its completion. In how many days was the work completed?
SSC MTS • 2022
The difference between the compound interest and the simple interest on a certain sum of money at 10% per annum for 2 years is ₹ 200. What is the sum of money, if in the case of compound interest, interest is compounded annually?