IBPS RRB Clerk Prelims 2024 Numerical Ability Questions with Solutions

Explanation

Given A × B = 23 - 5 = 18 and A = B / 2, substituting A gives (B / 2) × B = 18. Solving B² = 36 yields B = 6.

Explanation

Using the simple interest formula SI = (P × R × T) / 100, substitute P = 2500, R = 8, and SI = 800 to get 800 = (2500 × 8 × T) / 100, which simplifies to 800 = 200T, giving T = 4 years.

Explanation

The cost price of the camera is determined from the hypothetical loss condition as 3000 + 2000 = 5000 Rs. Selling it at a 20% profit yields a selling price of 5000 × 1.20 = 6000 Rs.

Explanation

After five years, Kiran's age becomes 15 + 5 = 20 years. With the ratio of Kiran's to Suman's age being 4 : 15, Suman's age after five years is (20 / 4) × 15 = 75 years, making Suman's present age 70 years and age three years ago 67 years.

Explanation

A's daily work rate is 1/6 and the combined daily rate of A and B is 7/24. Subtracting A's rate from the combined rate gives B's daily work rate as 7/24 - 1/6 = 1/8, meaning B alone takes 8 days to complete the work.

Explanation

The speed of the bus is 300 / 5 = 60 km/hr, which makes the speed of the car 60 - 20 = 40 km/hr. The time taken by the car to cover 200 km is 200 / 40 = 5 hours.

Explanation

With height 3x and base 4x, the area of the right-angled triangle is ½ × 4x × 3x = 6x² = 24 cm², which gives x = 2. The height of the triangle is therefore 3 × 2 = 6 cm.

Explanation

From the line chart, the total number of moviegoers (males plus females) was 75 on Monday, 325 on Tuesday, 50 on Wednesday, 350 on Thursday, 250 on Friday and 375 on Saturday. Saturday's total is 375, while Monday and Tuesday together total 75+325=400. The ratio 375:400 simplifies to 15:16.

Explanation

From the chart, Monday's total number of moviegoers is 75 and Wednesday's total is 50. The difference between these two values is 75-50=25.

Explanation

The total number of moviegoers on Wednesday is 50, split between males and females in the ratio 7:3, giving 35 males and 15 females. Since 40% of the 35 males, i.e. 14 males, buy popcorn, the remaining 35-14=21 males do not buy popcorn.

Explanation

Saturday's total from the chart is 375, so Sunday's total, being 20% more, is 3751.2=450. Since males make up 30% of Sunday's audience, females make up the remaining 70%, i.e. 0.7450=315 females watched movies on Sunday.

Explanation

From the chart, Wednesday's total is 50 and Friday's total is 250. Wednesday's figure as a percentage of Friday's is (50/250)*100=20%.

Explanation

Monthly salary = ₹32,000. Amount spent on rent = 40% of 32,000 = (40 / 100) × 32,000 = ₹12,800. Remaining salary after rent = 32,000 - 12,800 = ₹19,200. Out of this remaining salary, the amount given to the mother = ₹2,000. Total savings of the man = Remaining salary - Amount given to mother = 19,200 - 2,000 = ₹17,200. Thus, after deducting rent expenditure and the money given to his mother, the final savings amount to ₹17,200.

Explanation

The given number series is 36, 72, 47, 63, ?, 58. To find the missing number, analyze the difference between consecutive terms: Second term - First term: 72 - 36 = +36 = +(6²) Third term - Second term: 47 - 72 = -25 = -(5²) Fourth term - Third term: 63 - 47 = +16 = +(4²) Following this alternating pattern of adding and subtracting squares of decreasing integers: Fifth term - Fourth term: ? - 63 = -(3²) = -9 Therefore, ? = 63 - 9 = 54. Verification with the next term: 58 - 54 = +4 = +(2²), which confirms the pattern.

Explanation

The given number series is 8, ?, 29, 57, 113, 225. Analyzing the pattern from right to left: 225 = (113 × 2) - 1 113 = (57 × 2) - 1 57 = (29 × 2) - 1 This establishes the general rule that each term is generated by multiplying the previous term by 2 and subtracting 1. Using this rule to find the missing second term: 29 = (2 × ?) - 1 2 × ? = 30 ? = 15 Verification with the first term: (8 × 2) - 1 = 15, which perfectly satisfies the rule.

Explanation

The given number series is 28, 39, 52, ?, 88, 111. Calculate the differences between consecutive terms: 39 - 28 = 11 52 - 39 = 13 111 - 88 = 23 The differences 11, 13, and 23 are consecutive prime numbers. Continuing the sequence of prime numbers (11, 13, 17, 19, 23): The difference between the fourth and third term must be 17: ? = 52 + 17 = 69 Verification with the fifth term: 88 - 69 = 19, which is the next prime number. Thus, the missing number in the series is 69.

Explanation

The given number series is 13, 25, 49, ?, 133, 193. Calculate the differences between consecutive known terms: 25 - 13 = 12 49 - 25 = 24 193 - 133 = 60 The differences form an arithmetic sequence of multiples of 12 (12, 24, 36, 48, 60). To find the missing term: Fourth term = 49 + 36 = 85 Verification with the fifth term: 133 - 85 = 48, which matches the required difference of 48 in the sequence. Therefore, the missing number is 85.

Explanation

The given number series is 60, 100, 160, 240, ?, 460. Calculate the differences between consecutive terms: 100 - 60 = 40 160 - 100 = 60 240 - 160 = 80 The differences are 40, 60, 80, which increase by 20 at each step. Following this pattern, the next difference should be 80 + 20 = 100. Missing term = 240 + 100 = 340. Verification with the last term: 460 - 340 = 120, which is equal to 100 + 20. Thus, the value of the missing term is 340.

Explanation

Upstream distance = 72 km, time = 4 hours. Upstream speed (U) = Distance / Time = 72 / 4 = 18 km/hr. Downstream distance = 33 km, time = 1.5 hours. Downstream speed (D) = Distance / Time = 33 / 1.5 = 22 km/hr. Formula for speed of stream (v): v = ½ × (Downstream speed - Upstream speed) v = ½ × (22 - 18) = ½ × 4 = 2 km/hr. Thus, the speed of the stream is 2 km/hr.

Explanation

A's investment = ₹x B's investment = ₹(x + 5000) Time period for both investments = 1 year (12 months). Since the time period is same for both investors, the profit share ratio equals the ratio of their capital investments: Profit share of A / Profit share of B = Investment of A / Investment of B 4 / 5 = x / (x + 5000) Cross-multiplying: 5x = 4(x + 5000) 5x = 4x + 20000 x = 20000 Investment of B = x + 5000 = 20000 + 5000 = ₹25,000.

Explanation

The number of candies sold by Maria is 48. Adding 30 to this gives 78 candies for Naira. Since Jeneria sold 78 candies, the difference between the number of candies sold by Naira and Jeneria is 78 - 78 = 0.

Explanation

The number of cupcakes sold by Sheena is 56 and by Jeneria is 50, giving a total of 56 + 50 = 106 cupcakes. The number of candies sold by Maria is 48. The ratio of total cupcakes to Maria's candies is 106 : 48, which simplifies to 53 : 24.

Explanation

From the table, Maria sold 75 cupcakes and Sheena sold 91 candies. The ratio of cupcakes sold by Maria to candies sold by Sheena is 75 : 91.

Explanation

Total items sold by Maria = 82 + 48 + 75 = 205. Total items sold by Sheena = 40 + 91 + 56 = 187. Difference between total items sold by Maria and Sheena = 205 - 187 = 18.

Explanation

The number of candies sold by Maria is 48. Given the ratio 11:8, the number of chocolates sold by Jeneria is (11 / 8) × 48 = 66. The number of cupcakes sold by Sheena is 56. The average of chocolates sold by Jeneria and cupcakes sold by Sheena is (66 + 56) / 2 = 122 / 2 = 61.

Explanation

28% of 75 = (28 / 100) × 75 = 21. Substituting into the equation 21 + 6 × ? = 21² gives 21 + 6 × ? = 441. Subtracting 21 from both sides yields 6 × ? = 420. Dividing by 6 gives ? = 70.

Explanation

Using the order of operations, division is performed first: 39 ÷ 3 = 13. Next, multiplication is evaluated: 150 × 13 = 1950. Finally, subtraction gives: 1950 - 950 = 1000.

Explanation

First bracket: 36 × 8 = 288. Second bracket: 440 ÷ 8 = 55. Subtracting the second value from the first gives 288 - 55 = 233.

Explanation

The square root of 256 is 16. The cube root of 1728 is 12. Subtracting the two values yields 16 - 12 = 4.

Explanation

6.5 × 26 = 169. 13² = 169. Substituting these into the equation gives ? + 169 = 169. Subtracting 169 from both sides yields ? = 0.

Explanation

Evaluating the given simplification problem using BODMAS rules: First, calculate the square root: √784 = 28, since 28 × 28 = 784. Next, simplify the division operations from left to right: First operation: 28 ÷ (4/7) To divide by a fraction, multiply by its reciprocal: 28 × (7/4) = 7 × 7 = 49. Second operation: 49 ÷ 49 = 1. Thus, performing the operations in sequence yields the final result of 1.

Explanation

According to the BODMAS rule for order of operations, division must be performed before addition and subtraction. First, perform the division operation: 320 ÷ 8 = 40. Now substitute this value back into the original expression: 635 - 28 + 40. Next, perform subtraction and addition sequentially from left to right: 635 - 28 = 607. Finally, add 40 to 607: 607 + 40 = 647. The simplified value of the given numerical expression is 647.

Explanation

Let the unknown value represented by the question mark be x. First, calculate the square root in the equation: √324 = 18, since 18 × 18 = 324. Substitute this value into the equation: 120% of x - 18 = 702. Add 18 to both sides of the equation to isolate the term with x: 120% of x = 702 + 18 120% of x = 720. Express 120% as a fraction or decimal: 120/100 = 1.2. So, 1.2 × x = 720. Solve for x by dividing both sides by 1.2: x = 720 / 1.2 = 600. The required value is 600.

Explanation

Let x be the missing quantity represented by the question mark. First, simplify the right-hand side of the equation: 160 / 10 = 16. Now the equation simplifies to: √(64 × x) = 16. To eliminate the square root, square both sides of the equation: (√(64 × x))² = 16² 64 × x = 256. Now, solve for x by dividing 256 by 64: x = 256 / 64 = 4. The value that replaces the question mark is 4.

Explanation

Let x be the value of the question mark. Simplify the left side of the equation by combining the known constant terms (-582 + 706): 706 - 582 = 124. Substitute this combined value back into the equation: x + 124 = 670. To solve for x, subtract 124 from both sides of the equation: x = 670 - 124 x = 546. The calculated missing value is 546.

Explanation

Let x represent the unknown quantity marked by the question mark. First, calculate the product on the right side of the equation: 120 × 3 = 360. Substitute this result back into the equation: x × 150 = 360. To find the value of x, divide both sides by 150: x = 360 / 150 Simplify the fraction: 360 / 150 = 36 / 15 = 12 / 5 = 2.4. The value that replaces the question mark is 2.4.

Explanation

Following the BODMAS rules for order of operations, multiplication and division are performed from left to right before subtraction. First, multiply 435 by 2: 435 × 2 = 870. Next, multiply 870 by (1 / 290), which is equivalent to dividing 870 by 290: 870 / 290 = 3. Finally, subtract 2 from 3: 3 - 2 = 1. The correct result for the question mark is 1.

Explanation

Let x be the unknown value represented by the question mark. First, calculate the individual terms on the left-hand side: Perform the division: 9595 ÷ 5 = 1919. Evaluate the square root: √289 = 17, since 17 × 17 = 289. Substitute these values into the expression on the left side: 1919 - 17 - 2. Subtract sequentially: 1919 - 17 = 1902, and then 1902 - 2 = 1900. Set the simplified left-hand side equal to the right-hand side: 1900 = x × 5. Divide 1900 by 5 to solve for x: x = 1900 / 5 = 380. The value that completes the equation is 380.

Explanation

Let x be the unknown value represented by the question mark. First, convert the mixed fractions into improper fractions: 7 3/5 = (7 × 5 + 3) / 5 = 38 / 5. 3 3/19 = (3 × 19 + 3) / 19 = 60 / 19. Next, multiply these two fractions together: (38 / 5) × (60 / 19) = (38 / 19) × (60 / 5) = 2 × 12 = 24. Now substitute this product back into the original equation: 3 + 24 + x = 52. Combine the constant terms: 27 + x = 52. Subtract 27 from both sides to find x: x = 52 - 27 = 25. The correct value for the question mark is 25.

Explanation

Let x represent the missing value for the question mark. First, simplify the left-hand side of the equation by performing addition and subtraction from left to right: Add 572 and 648: 572 + 648 = 1220. Next, subtract 820 from 1220: 1220 - 820 = 400. Now, set the simplified left side equal to the right side: 400 = x × 16. To solve for x, divide 400 by 16: x = 400 / 16 = 25. The required number is 25.

Explanation

Let x represent the variable in the expressions for dimensions. Side of square = x + 4 cm Base of triangle = x + 1 cm Height of triangle = x + 8 cm

Area of square = (x + 4)² Area of triangle = ½ × (x + 1) × (x + 8)

Given that the area of the square is twice the area of the right-angled triangle: (x + 4)² = 2 × [½ × (x + 1) × (x + 8)] x² + 8x + 16 = x² + 9x + 8 8x + 16 = 9x + 8 x = 8

Base of the triangle = x + 1 = 8 + 1 = 9 cm.

Explanation

Profit sharing ratio equals the ratio of investment multiplied by time duration. A's investment product = 1500 × 12 = 18000 B's investment product = X × 6 = 6X

Given profit sharing ratio of A to B = 5 : 3 18000 / 6X = 5 / 3 3000 / X = 5 / 3 5X = 9000 X = 1800.

Explanation

Let the distance between X and Y be D km. Time taken for onward journey at 64 km/hr = D / 64 hours Time taken for return journey at 48 km/hr = D / 48 hours

Given time difference = 3 hours: (D / 48) - (D / 64) = 3 D × (64 - 48) / (48 × 64) = 3 16 D / 3072 = 3 D / 192 = 3 D = 576 km.

Explanation

Initial mixture volume = 28 litres Ratio of milk to water = 4 : 3 Milk quantity = (4 / 7) × 28 = 16 litres Water quantity = (3 / 7) × 28 = 12 litres

When Y litres of water are added, the new water quantity becomes 12 + Y litres. New ratio of milk to water = 16 / (12 + Y) = 8 / 7 2 / (12 + Y) = 1 / 7 12 + Y = 14 Y = 2.

Explanation

Let CP be the cost price of the article. Marked Price = CP × (1 + 0.60) = 1.60 CP Selling Price = Marked Price × (1 - 0.20) = 1.60 CP × 0.80 = 1.28 CP

Given Selling Price = Rs 800: 1.28 CP = 800 CP = 800 / 1.28 = 625.

Explanation

Average number of employees across all restaurants in 2018: (75 + 81 + 60) / 3 = 216 / 3 = 72

So, total employees in restaurant B in 2021 = 72. Ratio of employees in (A + C) to B in 2021 = 13 : 9 Total employees in A and C together in 2021 = (13 / 9) × 72 = 13 × 8 = 104.

Explanation

Employees in restaurant C in 2019 = 35. Average number of employees in C in 2019 and 2016 = 39.

Total employees in C in 2019 and 2016 = 39 × 2 = 78 Employees in C in 2016 = 78 - 35 = 43

Given employees in C in 2016 = X + 30: X + 30 = 43 X = 13.

Explanation

Total employees in restaurant A in 2018 = 75 Total employees in restaurant C in 2019 = 35

Required ratio = 75 : 35 = 15 : 7.

Explanation

Total employees in C in 2017 and 2020 together = 27 + 58 = 85 Total employees in A and B in 2018 = 75 + 81 = 156

Difference = 156 - 85 = 71.

Explanation

Total employees in restaurant B in 2019 = 48 Total employees in restaurant D in 2020 = 48 × 1.25 = 60 Total employees in restaurant A in 2018 = 75

Required percentage = (75 / 60) × 100 = 125%.