Quantitative Aptitude PYQ — Page 392
24,303 questions across SSC exams.
SSC CHSL • 2022
A metallic solid cuboid of dimensions 36 cm × 18 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of cubes so formed.
SSC CGL • 2025
Which of these is a number that is real but NOT rational?
SSC CGL • 2022
A tangent is drawn from point M to a circle, which meets the circle at T such that MT= 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length (in cm) of the chord AB?
SSC CHSL • 2023
The following table represents the number of five different types of cars A. B.C. D, and E manufactured by a company over five years. Read the table carefully and answer the question given below: [Table] What is the percentage increment in the production of…
SSC CGL • 2025
A sphere is inscribed inside a cube. The volume of the cube is 1728 cm³. What is the total surface area of the sphere?
SSC CHSL • 2019
In ΔABC, ∠A = 52°. Its side AB and AC are produced to the points D and E respectively. If the bisectors of the ∠CBD and ∠BCE meet at point O, then ∠BOC is equal to:
SSC CGL • 2023
The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers.
SSC CGL • 2022
A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then te value of C-2B + A is:
SSC CHSL • 2022
On buying 24 bangles Isha gets 6 bangles free of cost. What percent does Isha get as a discount?
SSC CHSL • 2025
A librarian checks 5 novels with pages: 240, 300, 280, 260, and 320. Later he finds that the 260-page count was wrongly written; the correct count is 360. What is the correct average number of pages?
SSC GD • 2021
If (a + b - c) : (b + c - a) : (a + c - b) = 4 : 5 : 9, then a - b : c - b : c - a =
SSC CHSL • 2023
If each side of a cube is decreased by 12%, then the percentage decrease in its surface area is:
SSC CHSL • 2025
The areas of two similar triangles are 5 cm² and 45 cm². If a side of the smaller triangle is 2 cm, what is the length of the corresponding side of the larger triangle?
SSC CGL • 2023
If x² + 1/(x²) = 7, and 0 x² - 1/(x²) .
SSC CGL • 2023
The area of the sector of a circle (in cm2) of radius 7 cm and central angle 60° is: (Take π = 22/7 )
SSC CGL • 2019
If a 9-digit number 32x4115y2 is divisible by 88, then the value of (4x – y) for the smallest possible value of y is:
SSC GD • 2021
Ram bought an article for Rs. 6800 and spent Rs. 700 on its repairs. He marked this article at 8% above the overall cost price. He sold the article for Rs. 6196.50 after giving two sucessive discounts of 10% and x%. Find the value of x.
SSC CHSL • 2022
An authorised rice dealer purchases rice at ₹32 per kg and sells it at ₹40 per kg. But while selling, he is giving only 900 grams instead of 1 kg. Find the actual profit percentage of the dealer (Correct to one decimal place)
SSC CGL • 2025
If the surface area of a sphere increases by 21%, by what percentage does its volume increase?
SSC CHSL • 2025
Manu printed 20 books of 200 pages each. The cost of printing is Rs. 25 per page. After this, he spent Rs. 80 per book on binding. After this, he spent Rs. 2,000 on advertising the books and Rs. 50 per book in supply. If at the end he sold each book for Rs…
SSC CGL • 2025
A certain amount increases to five times its initial value after 10 years of compounding interest. How many years will it take for it to grow to twenty-five times its original amount?
SSC Selection Post • 2024
In a 200-m race, if A gives B a head start of 35 m, then A wins the race by 20 sec. Alternatively, if A gives B a head start of 55 m, the race ends in a dead heat. How long does A take to run 200 m?
SSC Selection Post • 2023
Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure – health, education, and food in the ratio of 1 : 2 : 2. The income is Rs. 300 less than thrice the expenditure incurred on education. What is the…
SSC CGL • 2017
If a = 1/(a - 5) (a > 0), then the value of (a + 1/a) is:
SSC CGL • 2021
In △ ABC, ∠A= 50°. If the bisectors of the angle B and angle C, meet at a point O, then ∠BOC is equal to:
SSC CGL • 2023
The following table shows the percentage of population of five states below poverty line and the proportion of males and females below and above poverty line. [Table] If the population of State B and State C is 6,000 each, then what is the total number of…
SSC CGL • 2023
During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division…
SSC CHSL • 2021
The given bar graph shows the production of table fans in a factory during one weak. Study the bar graph and answer the question that follows. [Image] The production of fans on Tuesday is what percentage of the total production of fanss during the week?
SSC Selection Post • 2023
Which of the following numbers is NOT divisible by 72?
SSC CHSL • 2025
A wheel makes 560 revolutions to cover a distance of 1.76 kilometers. Find the radius of the wheel in centimeters. (Use π ≈ 3.1416)
SSC CGL • 2024
By applying which of the following criteria can two triangles NOT be proved congruent?
SSC Selection Post • 2022
A rectangle of length, 14 cm and breadth, 7 cm is rotated about its shorter side to form a cylinder. What is the volume (in cm³) of the cylinder so generated? (Take π = 22over7 )
SSC CGL • 2021
Given that x⁸ - 34x⁴ + 1 = 0, x > 0. What is the value of (x³ - x⁻³) ?
SSC CHSL • 2025
If a = √2 - √3, then a² = ?
SSC CGL • 2025
A and B started a business by investing ₹50,000 and ₹75,000 respectively. After 4 months, A added ₹10,000 to his capital, while B withdrew ₹15,000 from his capital. At the end of the year, they earned a total profit of ₹46,200. What is B's share in the profit?
SSC CHSL • 2023
Rice worth ₹504 per kg and ₹540 per kg are mixed with the third variety in the ratio of 1 : 1 : 2, if the mixture is worth ₹612 per kg, find the price (per kg in ₹) of the third variety.
SSC CHSL • 2021
A shopkeeper bought 840 kg of rice. A part of it was sold at 25% profit and the remaining at 10% loss and on the whole, the profit was 15%. What was the quantity of rice that was sold at a 10% loss?
SSC GD • 2021
If HCF of 328, 451, and 697 is x, then the value of x lies between:यदि
SSC CGL • 2025
A certain sum becomes 4 times itself in 8 years at simple interest. In how many years will it become 12 times itself at the same rate?
SSC CHSL • 2025
If √a + √b = 10 and √a - √b = 4, then what is the value of a + b?
SSC Selection Post • 2022
A library has an average of 538 visitors on Sundays and 237 on other days. The average number of visitors (approximate to the nearest integer) per day in a month of 31 days beginning with a Monday is:
SSC CGL • 2024
In a circle, two chords MN and PQ intersect at O. If MO = 9 cm, ON = 5 cm, and OQ = 6 cm, then the value of OP (in cm) is:
SSC CHSL • 2025
Two circles have radii 8 cm and 6 cm. The distance between their centers is 18 cm. What is the length of their common internal tangent segment?
SSC Selection Post • 2024
A garrison of 140 men has provisions for 35 days. At the end of 10 days, 35 more men joined them. How many days can they sustain on the remaining provisions?
SSC Selection Post • 2022
A car can cover a certain distance at a certain uniform speed in 19.2 hours. If the speed is increased by 8 km per hour, the same distance is covered in 18 hours. The distance (in km) is:
SSC GD • 2019
What is the arithmetic mean of first 8 multiples of 13?
SSC GD • 2019
Suraj covers a distance of 18 km in 12 minutes. If his speed is decreases by 30 km/hr, then how much time will Suraj take to cover the same distance?
SSC GD • 2019
A sum becomes Rs. 10650 in 5 years and Rs. 11076 in 6 years at simple interest. What is the sum?
SSC CGL • 2022
In a ∆ABC, D, E and F are the mid-points of side BC, CA and AB respectively. If BC = 25.6cm, CA = 18.8cm and AB = 20.4cm, what is the perimeter (in cm) of the ∆DEF?
SSC CHSL • 2024
The details of books of 6 subjects on the first floor of the college library are given in the following table. [Table] The ratio of Maths and Computers to Circuit Theory and Graph Theory is: