SarkariPYQ

Quantitative Aptitude PYQ — Page 436

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    ABCD is a rhombus with ∠ABC = 52º. The measure of ∠ACD is :

  2. SSC CGL • 2018

    x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?

  3. SSC CGL • 2016

    Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is:

  4. SSC CGL • 2019

    The sum of the digits of a two digit number is (1/7) of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digit is divided by 7, the remainder will be ?

  5. SSC CGL • 2022

    If 847 × 385 × 675 × 3025 = 3ᵃ × 5ᵇ × 7ᶜ × 11ᵈ, then the value of ab - cd is:

  6. SSC CGL • 2019

    In Δ PQR, ∠Q > ∠R, PS is the bisector of ∠P and PT is perpendicular to PQ. If ∠SPT = 28° and ∠R = 23°, then the measure of ∠Q is:

  7. SSC CPO • 2025

    Two circles with radii 37.5 cm and 13.5 cm touch each other externally. The length of the direct common tangent is

  8. SSC CGL • 2016

    From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are 45^(º) and 60^(º) respectively. The height of the tower is

  9. SSC CGL • 2022

    The driver of a car, which is travelling at a speed of 75 km/h, locates a bus 80 m ahead of him, travelling in the ame direction. After 15 seconds, he finds that the bus is 40 m behind the car. What is the speed of the bus (in km/h)?

  10. SSC CGL • 2019

    A field roller, in a shape of a cylinder, has a diameter of 1 m and length of _([Image] .) If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area (in m²) that it can roll in 1 hour ? (Take π = 22/7)

  11. SSC CGL • 2018

    If x + y = 10 and xy = 4, then what is the value of x⁴ + y⁴?

  12. SSC CGL • 2018

    A man donates 30% of his wealth to charity. 30% and 25% of the remaining wealth to his wife and son respectively. The rest he divides equally between his three daughters. One of his daughter gets Rs 42 lakh as her share. What was the man's wealth (in Rs…

  13. SSC CPO • 2025

    How much space does a hemisphere with a 7 cm radius occupy?

  14. SSC CGL • 2020

    On selling an article for Rs 123.40, the gain is 20% more than the amount of loss incurred on selling it for Rs 108. If the article is sold for Rs 120.75, then what is the gain /loss per cent?

  15. SSC CGL • 2022

    The base of the right pyramid is an equilateral triangle, each side of which is 20 cm. Each slant edge is 30 cm. The vertical height (in cm) of the pyramid is:

  16. SSC CGL • 2018

    A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (in km/hr) to complete the lap in 12 minutes?

  17. SSC CGL • 2016

    A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is β. Then the height of the tower is

  18. SSC CGL • 2018

    What is the unit digit of 1⁵ + 2⁵+ 3⁵ + … + 20⁵?

  19. SSC CGL • 2018

    In a triangle PQR, PX bisects QR. PX is the angle bisector of angle P. If PQ =12 cm and QX = 3 cm, then what is the area (in cm ) of triangle PQR?

  20. SSC CGL • 2018

    If A = 2³², B = 2³¹ + 2³⁰ + 2²⁹ + … + 2ᵒ and C = 3¹⁵ + 3¹⁴ + 3¹³ + … + 3ᵒ , then which of the following option is TRUE?

  21. SSC CGL • 2019

    If the volume of a sphere is 4851 cm³, then its surface area (in cm²) is ? (Take π = 22/7)

  22. SSC CGL • 2019

    The graph of the equation x - 7y = -42, intersects the y-axis at P (α, β) and the graph of 6x + y - 15 = 0, intersects the x-axis at Q (γ, δ). What is the value of α + β + γ + δ ?

  23. SSC CGL • 2022

    The value of ((2.53)³+(2.47)³)/(25.3times25.3-624.91+24.7times24.7) is 5 x 10ᵏ, where the value of k is?

  24. SSC CGL • 2017

    A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10 and 15 minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to:

  25. SSC CGL • 2019

    N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball & height is 4 times the radius of a spherical ball. The value of N is:

  26. SSC CGL • 2020

    In △ABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80º and ∠C = 38º, then what is the measure of ∠ADB ?

  27. SSC CGL • 2016

    The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is:

  28. SSC CPO • 2025

    If a cone has a base radius of 5 cm and a perpendicular height of 12 cm, what is the volume?

  29. SSC CGL • 2020

    If A's income is 60% less than B's income, then B's income is what percentage more than that of A's income?

  30. SSC CGL • 2018

    A bus travels 720 km in 20 hours. Calculate its average speed in meters/second.

  31. SSC CPO • 2025

    Which point lies on the x-axis?

  32. SSC CGL • 2018

    What is the value of 1/3×7 + 1/7×11 + 1/11×15 +.....+ 1/899×903 ?

  33. SSC CGL • 2022

    In an examination, B obtained 20% more marks than those obtained by A and A obtained 10% less marks than those obtained by C. D obtained 20% more marks than those obtained by C. By what percentage are the marks obtained by D more than those obtained by A?

  34. SSC CGL • 2020

    (sin²θ)/(cosθ(1+cosθ))+(1+cosθ)/(cosθ)=?

  35. SSC CGL • 2018

    Train A takes 45 minutes more than Train B to travel a distance of 450 km. Due to engine trouble speed of Train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

  36. SSC CGL • 2020

    In a triangle ABC, AB = 6√3 cm, AC =12 cm and BC = 6 cm. Then measure √B is equal to:

  37. SSC CGL • 2018

    If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?

  38. SSC CGL • 2019

    The graph of the equation 5x - 2y + 1 = 0 and 4y - 3x + 5 = 0, intersect at the points (α, β). What is the value of (2α - 3β) ?

  39. SSC CGL • 2022

    In △ABC, ∠A = 60º and ∠B = 50º. If the bisector of ∠B and ∠C meet at P, then ∠BPC - ∠PCA =?

  40. SSC CGL • 2017

    The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water – surface of a lake is 30° and the angle of depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water…

  41. SSC CGL • 2020

    The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. two idendical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area ( in cm²) of the remaining solid?

  42. SSC CGL • 2016

    The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is ?

  43. SSC CGL • 2016

    A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 30^(º) to 60^(º). How soon the boat reach the sea-shore ?

  44. SSC CPO • 2025

    A sector of a circle having a radius of 10 cm and has a central angle of 3π/5 radians. Another sector of the same circle has a central angle of 108°. What is the ratio of the area of the first sector to the area of the second sector?

  45. SSC CGL • 2019

    In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O and ∠AOB = 64°. ∠C + ∠D is equal to?

  46. SSC CGL • 2018

    PQ and RS are two chords of a circle. PQ = 20 cm, RS = 48 cm and PQ is parallel to RS. If the distance between PQ and RS is 34 cm, then what is the area (in cm) of the circle?

  47. SSC CGL • 2018

    If a boat goes upstream at a speed of 21 km/h and comes back the same distance at 28 km/h. What is the average speed (in km/hr) for the total journey?

  48. SSC CPO • 2025

    Find the radius of the circle if the length of the chord is 8 cm and the perpendicular distance from the center of the circle is 3 cm

  49. SSC CGL • 2019

    From a point exactly midway between the foot of two towers Pand Q, the angles of elevation of their tops are 30° and 60°, respectively. The ratio of the height of P to that of Q is ?

  50. SSC CGL • 2019

    'A' started a business with a capital of Rs 54,000 and admitted 'B' and 'C' after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by 'B' and 'C'?