SarkariPYQ

Quantitative Aptitude PYQ — Page 425

24,303 questions across SSC exams.

  1. SSC CHSL • 2020

    Rs.4,000 is given at 5% per annum for one year and interest is compound half yearly. Rs.2,000 is given at 40% per annum compound quarterly for 1 year. The total interest received is nearest to:

  2. SSC CGL • 2022

    Two common tangents AC and BD touch two equal circles each of radius 7 cm, at points A, C, B, and D, respectively, as shown in the figure. If the length of BD is 48 cm, what is the length of AC? [Image]

  3. SSC CHSL • 2024

    To reach at a destination, D takes 45 minutes if he drives at a speed 60 km/h. Due to some urgency, he is to reach the destination in 30 minutes. What should be his speed in km/hr?

  4. SSC CGL • 2021

    What is the sum of the digits of the largest five-digit number which is divisible by 5, 35, 39 and 65?

  5. SSC CHSL • 2021

    The lengths of three sides of a triangle are in the ratio 3 : 4: 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm²) of the triangle is:

  6. SSC CGL • 2022

    What is the average of the first six prime numbers?

  7. SSC GD • 2021

    A boat goes 24 km uptream in one hour more than the time taken to cover the same distance downstream. If the speed of the current of the river is 2 km/h, then what is the speed (in km/h) of the boat in upstream travel?

  8. SSC CGL • 2024

    A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the…

  9. SSC CGL • 2023

    A shopkeeper sold a pair of headphones for ₹5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold for ₹4,370?

  10. SSC Selection Post • 2019

    [Image] In 2019 if there is 10% increase in population of city A and 15% decrease in the population in B as compared to that in 2018, then the population of city A is what percentage more/less than that in B, in that year? (correct to one decimal places)

  11. SSC GD • 2019

    What is the value of [(1/2 ÷ 1/4 - 4 × 1/2 × 1/3) of (2/3 ÷ 4/3 + 1/2)] ?

  12. SSC Selection Post • 2024

    How many numbers less than 1,000 are multiples of both 7 and 11?

  13. SSC CGL • 2017

    If x, y, z are the three factors of a^(​​​​​​3) – 7a – 6, then value of x + y + z will be?

  14. SSC CHSL • 2020

    If 3 sec² x – 4 = 0, then the value of x (0

  15. SSC Selection Post • 2022

    Find the value of √(4p³+14p+6) such that a 6-digit number 602p0p is divisible by 9.

  16. SSC CGL • 2025

    An electronics store orders 150 portable speakers at a cost of ₹400 each. The owner plans to price them so that selling only 120 speakers would guarantee a 40% profit on the total investment. However, a local event leads to the sale of 135 speakers. If the…

  17. SSC Selection Post • 2024

    If class A has 11 boys and 18 girls, class B has 13 boys and 17 girls, and class C has 20 boys and 9 girls, which class has the biggest ratio(s) of boys to girls?

  18. SSC CHSL • 2024

    bigtriangleup ABC is right-angled triangle where m ∠ ABC = 90ᵒ. If m (AB̅) = 15 cm, m (BC̅) = 20 cm, and BD̅ bot AC̅ , intersecting AC̅ at the point D, find m (BD̅) (in cm).

  19. SSC CGL • 2021

    If a⁴+ b⁴ + a²b² = 273 and a² + b² - ab = 21, then one of the values of [Image] is :

  20. SSC CGL • 2022

    Simplify the following 25³ - 75³ + 50³

  21. SSC CGL • 2023

    [(1 + p)(1 + p²)(1 + p ⁴ )(1 + p ⁸ )(1 + p¹6)(1 − p) − 1]

  22. SSC CGL • 2018

    The average of 35 consecutive even numbers is 44. Find the smallest number.

  23. SSC CHSL • 2022

    In an election between two candidates, one of the candidates secured 35% of the votes cast and was defeated by the other candidate by 1296 votes. If there were no invalid votes, then the total number of votes polled was:

  24. SSC CGL • 2024

    On a circle of radius 7 units, PQ and QR are chords of length 7 units each. What is the length of the chord PR in units?

  25. SSC Selection Post • 2022

    If θ is an acute angle and sinθ + cosecθ = 2, then the value of sin⁹⁹θ + cosec⁹⁹θ is :

  26. SSC CHSL • 2022

    A train crosses a 400 m-long platform in 50 seconds. It crosses another 600 m-long platform in 60 seconds. What are the length and the speed of the train?

  27. SSC CGL • 2020

    A can complete a certain piece of work in 40 days. B is 25% more efficient than A and C is 28% more efficient than B. They work together for 5 days. The remaining work will be completed by B alone, in:

  28. SSC CGL • 2022

    The circumcentre of an equilateral triangle is at a distance of 3.2 cm from the base of the triangle. What is the length (in cm) of each of its altitudes?

  29. SSC CHSL • 2019

    If 2(cosec²39°- tan²51°) -2/3(sin90°) – tan²56° y tan²34° = y/3, then the value of y is:

  30. SSC CGL • 2024

    Study the following table and answer the question that follows. Expenditures of a Company (in Lakh Rupees) Per Annum over Different Heads in the Given Years [Table] The total amount of bonus paid by the company during the given period is approximately what…

  31. SSC CHSL • 2022

    A rectangular water tank is 1.5 m high, 3 m long and 3.5 m wide. How much water (in litres) can it hold?

  32. SSC CHSL • 2025

    If tanθ = 4/3, find cos²θ - sin²θ.

  33. SSC Selection Post • 2019

    Some toffees are bought at the rate of 11 for ₹10 and the same numbers at the rate of 5 for ₹6, If the whole lot is sold at one rupee per toffee, then the gain/loss percent, correct to one decimal place, on the whole transaction is:

  34. SSC CGL • 2020

    In △ABC, ∠A -∠B = 33º, ∠B - ∠C = 18º What is the sum of the smallest and the largest angles of the triangle?

  35. SSC CHSL • 2025

    A motorist travels from City P to City Q, a distance of 234 km. For the first 78 km, he drives at 52 km/h. For the next 78 km he drives at 39 km/h. For the remaining distance, he drives at x km/h (constant). His overall average speed for the whole trip is…

  36. SSC Selection Post • 2022

    There are six numbers whose average is 120. If the sixth number is one-fourth of the sum of the remaining five numbers, then the sixth number is:

  37. SSC CHSL • 2020

    A sum of Rs.12,000 was taken at simple interest at some rate. After four months, Rs.6,000 more was added and the total principal was charged at double the earlier rate of interest. At the end of the year, if the total interest was Rs.2,800, then what was the…

  38. SSC CHSL • 2019

    18 men can complete a work in 9 days. After they have worked for 5 days, 6 more men join them. How many days will they take to complete the remaining work?

  39. SSC Selection Post • 2023

    A varies directly with B. When A = 52, B = 91. Find the value of A when B = 126.

  40. SSC GD • 2019

    What is the value of [Image] ?

  41. SSC Selection Post • 2020

    Which of the following is divisible by 99?

  42. SSC GD • 2021

    Out of two numbers, the first number is three-fourth of the second number. If the average of the reciprocal of the two numbers is 7/48, then the first number is:

  43. SSC CGL • 2023

    If x² - 15x + 1 = 0, what is the value of x⁴ - 223x² + 6?

  44. SSC CGL • 2018

    ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

  45. SSC GD • 2021

    Two positive numbers are in the ratio 7 : 4. If the difference between their squares is 297, then the sum of the two numbers is:

  46. SSC CHSL • 2021

    Study the following bar graph and answer the question that follows. [Image] The average export of diamonds for the given period (in crores) was:

  47. SSC CGL • 2024

    The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle?

  48. SSC CGL • 2024

    A boatman rows to a place 30 km distant and back in 14 hours. He finds that he can row 10 km with the stream at the same time as 4 km against the stream. Find the speed (in km/h) of the stream.

  49. SSC Selection Post • 2020

    The total consumption of sugar was 20 kg per month for a family. As the price of sugar increased by 35%, the family reduced its consumption so that the expenditure on sugar increased only by 8%. By how much was the consumption of sugar per month reduced due…

  50. SSC CGL • 2020

    The value of (7 - [4 + 3 (2 - 2 × 2 + 5) - 8] ÷ 5)/[(2 ÷ 2) of (4 + 4 ÷ 4 of 4)] is: