Quantitative Aptitude PYQ — Page 251
24,303 questions across SSC exams.
SSC GD • 2024
Z1, Z2, and Z3 can do work in 100, 50 and 75 days respectively. All three of them began the work together but Z2 left 15 days before the completion of the work. In how many days was the work completed?
SSC GD • 2023
The HCF and LCM of the two numbers are 6 and 3024, respectively. If one of the numbers is 54, then find the other number.
SSC CHSL • 2022
The value of 52 – 5[2 + 3{2 – 2(5 – 3) + 5} – 10] ÷ 8 is:
SSC GD • 2021
The ratio of the monthly incomes of Ramu and Somu is 6 : 5 and the ratio of their expenditures is 7 : 6. At the end of the month, Ramu and Somu save ₹ 1,500 and ₹ 1,000. respectively. What is Ramu's monthly income?
SSC GD • 2023
A boat's speed in still water is 9 km/h, while stream’s speed is 1.5 km/h. A man rows to a location 105 km away and then returns to his starting position. The total time taken by him is:
SSC GD • 2026
Two successive discounts of 50 percent and 30 percent are given on an article. What is the net discount?
SSC CHSL • 2024
After the division of a number successively by 2, 3 and 5, the remainders are 1, 2 and 3, respectively. What will be the remainder, if 13 divides the same number (if the last quotient is 1)?
SSC GD • 2024
Average age of 22 teachers is 64 years. After involving a new teacher in that group the average increases by 1 year. What is the age of the new teacher?
SSC GD • 2019
P and Q together can complete a work in 105 days. Q and R together can complete the same work in 90 days, P and R together can complete the same work in 126 days. In how many days P, Q and R together can complete the same work?
SSC CHSL • 2023
The selling price of 34 articles is equal to the cost price of 38 artieles. What is the gain percentage?
SSC Selection Post • 2024
The one-day work of 2 men is equal to the one-day work of 4 women or the one-day work of 8 qualified workers. 10 qualified workers can finish the work in 8 days. If a man, a woman, and a qualified worker work in the same order on three different days, the…
SSC CHSL • 2023
In triangle ABC, the straight line parallel to the side BC meets AB and AC at the points P and Q, respectively. If AP=QC, the length of AB is 16 cm and the length of AQ is 4 cm, the length (in cm) of CQ is :
SSC GD • 2023
The value of an Apple laptop depreciated from Rs. 1,33,100 to Rs. 72,900 in 3 years. Find the yearly rate of depreciation. (Correct to 2 decimal places.)
SSC GD • 2023
A man's weekly wage was Rs. 1200, but now he earns Rs. 1800. What is the percent increase in the man's wage?
SSC CGL • 2021
If nine - digit number 7698x138y is divisible by 72 , then the value of [Image] is :
SSC GD • 2023
A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 7 cm and height of the cone is 5 cm. The total surface area of the toy (take 7 = =) is (rounded off to two places of decimal):
SSC CHSL • 2025
The ratio of the ages of A and B is 4:5. After 6 years, the ratio becomes 5:6. What will be the ratio of their ages 6 years ago?
SSC MTS • 2022
The lengths of the diagonals of a rhombus are 48 cm and 20 cm. What is the perimeter of the rhombus?
SSC CGL • 2023
A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many meters will the…
SSC CHSL • 2022
If a + b = 12 and ab = 35, find the value of a⁴ + b⁴ – 103?
SSC CGL • 2022
In a square ABCD, diagonals AC and BD intersect at O. The angle bisector of ∠ CAB meets BD and BC at F and G, respectively. OF : CG is equal to:
SSC CHSL • 2023
Raju and Akber take 4 hours and 6 hours to type 32 pages and 48 pages, respectively, on a computer. They are given an assignment of typing 256 pages. If they work together, typing on two different computers, starting at the same time, how much time will they…
SSC Selection Post • 2020
If decreasing 70 by x% yields the same result as increasing 60 by x%, then x% of 91 is:
SSC CGL • 2022
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?
SSC CGL • 2023
A grocer claims that he is selling sugar at ₹48/kg, which costs him ₹50/kg, but he is giving 900 g instead of 1000 g. What will be the approximate percentage profit?
SSC CGL • 2022
In a right triangle ABC, right angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6cm, CD = 5cm, then find the value of AB² + BD² (in cm).
SSC CGL • 2025
What is the equation of the line through (-1, -2) with slope -3?
SSC Selection Post • 2023
What annual payment will discharge a debt of ₹1,936 in four annual equal instalments at the rate of 14% on simple interest?
SSC CHSL • 2023
What is the value of an angle subtended by a chord at the center of the circle if the angle subtended by this chord at the circumference is 66"?
SSC GD • 2019
The line chart given below shows the ratio of imports to exports for a country for 5 consecutive years Y1, Y2, Y3, Y4 and Y5. [Image] If the imports for year Y5 is Rs. 76000 crore, then what will be exports (in crores) for the year Y5?
SSC CGL • 2023
A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?
SSC CHSL • 2023
Two people A and B started running from the same point on a circular-track of length 400 m in opposite directions with initial speeds of 10 m/s and 40 m/s, respectively. Whenever they meet, A's speed doubles and 3's speed halves. After what time from the…
SSC CHSL • 2021
The altitude AD of a triangle ABC is 9cm. If AB = 6 √(3) cm and CD = 3 √(3) cm, then what will be the measure of ∠A?
SSC CGL • 2023
A,B and C can do a piece of work in 30 days, 40 days, and 50 days, respectively. Beginning with A, if A, B and C do the work alternatively, then in how many days will the work be finished?
SSC GD • 2021
The speed of a boat in still water is 10 km/h. The time taken by the boat to go 35 km downstream is 1.25 times the time taken by it to go 14 km upstream. How much time (in hours) will it take to go 60 km downstream?
SSC CGL • 2022
If the volume of a sphere is 24,416.64 cm³, find its surface area (take π=3.14) correct to two places of decimal.
SSC Selection Post • 2022
The ratio of the number of boys and girls in a class is 3: 5. The average score in English of all the boys and girls is 67.5. If the average score of the boys is 60, then what is the average score of the girls?
SSC CGL • 2023
The following expression is equal to. cot85° + cos75°
SSC GD • 2021
The LCM of two positive numbers is 13 times their HCF. The sum of HCF and LCM is 252. If one number is 54, then the other number is:
SSC GD • 2024
A is four times as good a workman as B and together they finish a piece of work in 84/15 days. In how many days can A alone finish the work?
SSC CGL • 2025
A shopkeeper marked an item 40% above its cost price. During a sale, he offered a 15% discount. What was his profit percentage?
SSC GD • 2024
Ifx=(3/8)y and y = (3/4)z, then what is the value of x : y: z?
SSC Selection Post • 2022
The average of 9 numbers arranged in ascending order is 18. If the average of the first five numbers is 16 and the average of the last five numbers is 19, then what is the fifth number?
SSC GD • 2026
What number should be added to each of 12, 20, 28 and 44 so that the resulting numbers will be in proportion?
SSC GD • 2026
25, 5, 20 and X are in proportion. What is the value of X?
SSC Selection Post • 2022
The income of A is 40% less than that of B, and the income of C is 40% more than 30% of the combined income of A and B. By what percentage is C's income more than the income of A?
SSC CGL • 2022
Find the value of the following expression: (3div1times2+5-2)/(3times3-2)
SSC CGL • 2024
Two goods trains 132 m and 108 m in length are running towards each other on parallel tracks. The first train is running at a speed of 32 km/h and the second at a speed of 40 km/h. How much time will they take to cross each other after meeting?
SSC CGL • 2018
The height of a cone is 24 cm and the area of the base is 154 cm². What is the curved surface area (in cm²) of the cone?
SSC CGL • 2025
A dealer sets the marked price of a refrigerator 20% higher than its cost price. If he gives a discount of 10% and makes a profit of ₹400, what is the cost price of the refrigerator?