SarkariPYQ

Quantitative Aptitude PYQ — Page 309

24,303 questions across SSC exams.

  1. SSC GD • 2021

    The salaries of Ravi and Sumit are in the ratio 4 : 5. If the salary of each is increased by ₹6000 the new ratio becomes 35 : 40. What will be Sumit's increased salary?

  2. SSC CHSL • 2022

    What is the difference between the compound interests on Rs 10,000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

  3. SSC CHSL • 2019

    In traingle ABC, D and E are the points on sides AC and AB, respectively such that ∠ADE = ∠B. If AE = 8 cm, CD = 3 cm, DE = 6 cm and BC = 9 cm, then AD is equal to:

  4. SSC CGL • 2021

    If (x + 6)³ + (2x + 3)³ + (3x + 5)³ = (3x +18)(2x + 3)(3x + 5), then what is the value of x?

  5. SSC MTS • 2022

    A train travels for 2 hours at a speed of 6 m/sec. What is the distance covered by the train in the mentioned duration of time?

  6. SSC CGL • 2022

    In a triangle ABC, the bisector of angle BAC meets BC at a point D such that DC = 2BD. If AC-AB=5cm, then find the length of AB (in cm).

  7. SSC Selection Post • 2019

    If 7 men and 4 women working together, can do five times as much work per hour as one man and one woman together, then the ratio of the work done by a man and that of a woman for a given time is:

  8. SSC CHSL • 2023

    What is the radius of the circle x ² + y ² = 25 .

  9. SSC CHSL • 2023

    In an isosceles triangle, if the unequal angle is five times the sum of the equal angles, then each equal angle is:

  10. SSC CGL • 2025

    One type of pulses is sold for ₹72 per kg at a 20% profit. Another type is sold for ₹60 per kg at a 25% profit. These two varieties are mixed in the ratio 3:1, and the mixture is sold at ₹68.4 per kg. What is the overall profit percentage?

  11. SSC CHSL • 2023

    The circumference of the two circles is 77 cm and 154 cm, respectively. What is the difference between their radii?

  12. SSC CGL • 2025

    Two similar hexagons have their perimeters in the ratio 5 : 7. If the smaller hexagon has an area of 75 cm², what is the area of the larger hexagon?

  13. SSC CGL • 2025

    If the price tag of a microwave is Rs. 5000 and the shopkeeper offers a discount of 18%, what is the selling price?

  14. SSC CGL • 2023

    If p + q + r = pqr = 1/p + 1/q +1/r = 1 then find p³ + q³ + r³.

  15. SSC Selection Post • 2023

    A silver puja thali set marked at ₹10,000 is sold with two successive discounts of 10% and 5%. An additional 5% discount is offered if the payment is made in cash. Find the selling price of the article on cash payment.

  16. SSC CHSL • 2023

    What is the remainder when 3⁸ is divided by 7?

  17. SSC CGL • 2022

    The value of 15 + 6.3 ÷ 7 - 3 × 1.3 - 2 is:

  18. SSC CGL • 2024

    If 8cotθ=7 ,then the value of 1+sinθover cosθ is:

  19. SSC CHSL • 2025

    A right circular cylinder having the radius of r and height of h is inscribed in a sphere. The sphere's diameter is D. What is the relationship between the height of the cylinder h and its radius r in terms of the sphere's diameter D?

  20. SSC CGL • 2024

    Simplyfiy the following expression. (3x + 17 - 2y) (3x - 17 - 2y)

  21. SSC CGL • 2019

    The value of 2 × 3 ÷ 2 of 3 × 2 ÷ (4 + 4 × 4 ÷ 4 of 4 – 4 ÷ 4 × 4) is:

  22. SSC MTS • 2022

    The marked price of an article is ₹20,000, and while selling, the shopkeeper offers two successive discounts of 12% and d%. If the selling price of the article is ₹16,720, then what is the value of d?

  23. SSC CHSL • 2019

    There are three numbers. If the average of any two of them is added to the third number, the sums obtained are 177, 163 and 138. What is the average of the largest and the smallest of the given numbers?

  24. SSC CHSL • 2020

    A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is:

  25. SSC CHSL • 2025

    3 liters of lime syrup are mixed with m liters of water. If the lime syrup is 5% of the mixture, find the value of m.

  26. SSC Selection Post • 2023

    To buy a car, Sahil borrowed some amount at 10% simple interest rate. He has paid some loan amount but Rs. 1,81,500 is due which he has to pay in 3 years. What will be the annual installment (in Rs.)?

  27. SSC MTS • 2019

    Ravika alone can complete three-fifth of a work in 105 days. Mallika can complete one-third of work in 50 days. In how many days Ravika and Mallika working together, can complete 26/25th of the work?

  28. SSC CHSL • 2025

    Two chords AB and CD of a circle intersect at a point P inside the circle. If AP=5 cm, PB=8 cm, and CP=4 cm, what is the length of chord CD?

  29. SSC CHSL • 2022

    Simplify: 178.01− [86.23 – {40.22 + (28 – 24)}]

  30. SSC GD • 2021

    A sum at a certain rate of simple interest becomes ₹ 37,200 after 3 years end ₹ 42,000 after 5 years. Find the simple interest (in ₹) on the same sum at 6% per annum for 8 years.

  31. SSC MTS • 2022

    If 3 × 7 + 12/12 × 7 + 3 × 4 - 2 = 1/k, then what is the value of K?

  32. SSC CGL • 2024

    A pole 10 m long rests slantly against a vertical wall AB making an angle 30° with the horizontal (ground). Find how far the foot of the pole is from the wall (in metres).

  33. SSC CHSL • 2022

    Which among the below option can be a square root of? (x² - 14x + 49) (x² + 6x + 9)

  34. SSC CGL • 2023

    A dealer marks an article 60% above the cost price and sells it to a customer allowing two successive discounts of 10% and 20% on the marked price. If he gains ₹1,064 in the transaction, the cost price (in ₹) of the article is :

  35. SSC CGL • 2024

    In a triangle PQR, ∠P + ∠Q = 84°. Find the value of ∠R.

  36. SSC CGL • 2025

    A tank is in the shape of a rectangular parallelepiped of size 50 m × 40 m × 3 m. Its capacity in kilolitres is

  37. SSC CGL • 2025

    Two hemispheres of radii 2 cm and 4 cm, respectively, are melted and recast into another hemisphere. What is the approximate total surface area of the newly formed hemisphere?

  38. SSC CGL • 2022

    In ∆ABC, ∠A = 68°. If I is the incentre of the triangle, then measure of ∠BIC is:

  39. SSC CHSL • 2025

    A circle has a radius of 17 cm. Two of its chords are parallel and separated by a distance of 23 cm. If the length of one of these chords is 30 cm, find the length of the second chord.

  40. SSC CHSL • 2025

    A rope is cut into two pieces. The first piece is 3/5 of the total length. The second piece is 12 meters long. What was the original length of the rope?

  41. SSC Selection Post • 2023

    A sum of ₹16,875 was lent out at simple interest, and at the end of 1 year 8 months, the total amount was ₹18,000. Find the rate of interest per annum.

  42. SSC CHSL • 2023

    If √(a/b)=8/3- √(b/a) and a - b = 10, then the value of ab is:

  43. SSC MTS • 2019

    Given below is the data of the ages of various children. [Table] What is the difference between the mean and mode of the ages?

  44. SSC CHSL • 2022

    64% of the students of a class are girls and 81.25% of the girls have chosen soccer as their favourite sport. If 143 girls have chosen soccer as their favourite sport, what is the total number of students in the class?

  45. SSC MTS • 2022

    A fruit seller initially had 'm' kg of apples. He sold 56% of these apples to a customer and was still left with 110 kg of apples. What is the value of 'm'?

  46. SSC Selection Post • 2023

    A trader offers to sell a commodity under any of the two schemes mentioned below: Scheme 1: The trader offers two successive discounts of 20% and 12.5% on the sale of each unit. Scheme 2: The trader offers the buyer an option to 'pay for y units, get z units…

  47. SSC Selection Post • 2022

    The given table shows the number of visitors to the Christmas party and the New Year party organised by Bhide's Cafe and Mehta's Cafe. [Table] What percentage more of visitors visited Mehta's Cafe to Bhide's Cafe (correct to two decimals places)?

  48. SSC CGL • 2024

    The present ages (in years) of A and B are in the ratio of 3 : 4. Five years back, the ratio of their ages was 2 : 3. What is the present age (in years) of A?

  49. SSC CHSL • 2023

    The cost of 3 breads and 1 packet of juice at a certain store is ₹ 323.50. At the same store. the cost of 5 breads and 1 packet of juice is ₹ 433.50. What will be the cost of 2 breads and 2 packets of juice at this store?

  50. SSC CGL • 2024

    P and Q are centers of two circles whose radii are 7 cm and 3 cm, respectively. If the direct common tangents to the circles meet PQ extended at A, then A divides PQ _____.