IBPS RRB Clerk Prelims 2022 Numerical Ability Questions with Solutions

Explanation

Total runs scored by C from fours = 44 × 4 = 176. Total runs scored by A from sixes = 40 × 6 = 240. Difference = 240 - 176 = 64.

Explanation

Total runs scored by B from sixes = 25 × 6 = 150. Total runs scored by C from sixes = 20 × 6 = 120. Required ratio = 150 : 120 = 5 : 4.

Explanation

Number of fours hit by X = 44 × (1 + 1/11) = 48. Number of sixes hit by X = 40 × (1 + 1/4) = 50. Total runs scored by X from fours and sixes = (48 × 4) + (50 × 6) = 192 + 300 = 492.

Explanation

Average number of fours hit by A and C = (62 + 44) / 2 = 53. Average runs scored from fours = 53 × 4 = 212.

Explanation

Total runs scored by A from fours = 62 × 4 = 248. Total runs scored by B from sixes = 25 × 6 = 150. Percentage excess = [(248 - 150) / 150] × 100 = (98 / 150) × 100 = 65.33% ≈ 65%.

Explanation

The pattern in the series follows adding consecutive odd numbers: 1 + 1 = 2 2 + 3 = 5 5 + 5 = 10 10 + 7 = 17 17 + 9 = 26

Explanation

The differences between successive terms are powers of 2: 12 - 8 = 4 20 - 12 = 8 36 - 20 = 16 68 - 36 = 32 Next difference = 32 × 2 = 64 Missing term = 68 + 64 = 132.

Explanation

Analyzing the second-order differences of the series: 282 - 154 = 128 154 - 74 = 80 74 - 30 = 44 Differences of differences are 128 - 80 = 48 and 80 - 44 = 36, forming a sequence decreasing by 12. Previous second-order differences = 36 - 12 = 24 and 24 - 12 = 12. Previous first-order differences: 44 - 24 = 20 20 - 12 = 8 Therefore, the missing number = 2 + 8 = 10.

Explanation

The sequence of differences consists of squares of consecutive integers: 6 - 5 = 1² = 1 10 - 6 = 2² = 4 19 - 10 = 3² = 9 35 - 19 = 4² = 16 Next difference = 5² = 25 Missing term = 35 + 25 = 60.

Explanation

The pattern in the series adds increasing multiples of 5 to each term: 1 + 5 = 6 6 + 10 = 16 16 + 15 = 31 31 + 20 = 51 51 + 25 = 76

Explanation

Using the simple interest formula SI = (P × R × T) / 100, the initial interest gives 1000 = (P × 10 × 4) / 100, which simplifies to 0.4 × P = 1000, so P = 2500. The new principal invested is P + 500 = 2500 + 500 = 3000. Applying the formula for the second investment with P = 3000, R = 20%, and T = 2 years gives SI = (3000 × 20 × 2) / 100 = 1200.

Explanation

The average age of 9 members is 31 years 4 months, which equals 31 + 4/12 = 94/3 years. The total age of all 9 members is 9 × (94/3) = 282 years. Subtracting the youngest member's age of 18 years gives the sum of the ages of the remaining 8 members as 282 − 18 = 264 years. Their current average age is 264 / 8 = 33 years. Subtracting 6 years from their current average gives their average age six years ago as 33 − 6 = 27 years.

Explanation

Let P be the present population. With an annual increase rate of 20%, the population increases by a factor of 1 + 20/100 = 6/5 each year. The population after 3 years is given by P × (6/5)³ = P × (216 / 125). Setting this equal to 21,600 gives 21600 = P × 216 / 125, which simplifies to P = (21600 × 125) / 216 = 12,500.

Explanation

Let the cost price be 100x. The marked price at 40% markup is 140x. With a 25% discount, the selling price is 140x × 0.75 = 105x, yielding a profit of 105x − 100x = 5x. Given 5x = 420, we find x = 84. If the discount is 20%, the new selling price becomes 140x × 0.80 = 112x. The new profit is 112x − 100x = 12x = 12 × 84 = 1008.

Explanation

From the circumference formula C = 2 × π × r, the radius of the smaller circle is r₁ = 132 / (2 × 22/7) = 21 m, and the radius of the larger circle is r₂ = 176 / (2 × 22/7) = 28 m. The difference between the areas is π × (r₂² − r₁²) = (22/7) × (28² − 21²) = (22/7) × (28 + 21) × (28 − 21) = (22/7) × 49 × 7 = 22 × 49 = 1078 m².

Explanation

Let the time taken by B and C together to complete the work be t days. Then A takes 3t days to finish the work alone. The daily work rate of A is 1/(3t) and that of B and C together is 1/t. The combined work rate of all three is 1/(3t) + 1/t = 4/(3t). Since all three complete the work together in 24 days, 4/(3t) = 1/24, which gives 3t = 96. Thus, A alone takes 96 days.

Explanation

Let boat speed in still water be u and stream speed be v. Upstream speed is u − v = 6 km/hr. Since upstream speed is 3/5 of downstream speed, downstream speed is 6 × (5/3) = 10 km/hr. Time taken to travel 35 km downstream is 35 / 10 = 3.5 hours. Time taken to travel 15 km upstream is 15 / 6 = 2.5 hours. Total time required is 3.5 + 2.5 = 6 hours.

Explanation

A invests Rs. 9000 for 12 months, giving an investment-time product of 9000 × 12 = 108,000. B invests Rs. X for 12 − 4 = 8 months, giving a product of 8X. Total profit is Rs. 1700 and B's share is Rs. 800, so A's share is 1700 − 800 = 900. The profit ratio equals the investment-time product ratio, so 900 / 800 = 108000 / (8X), which simplifies to 9 / 8 = 13500 / X, giving X = (13500 × 8) / 9 = 12000.

Explanation

Let the initial quantity of water be W liters. Since milk is 50% more than water, initial milk is 1.5W liters, making the total initial mixture 2.5W liters. Adding 4 liters of milk makes milk 100% more than water, so 1.5W + 4 = 2W. Solving this gives 0.5W = 4, so W = 8 liters. The total initial mixture is 2.5 × 8 = 20 liters.

Explanation

The length of the train is 110 meters, and the length of the platform is 4.5 × 110 = 495 meters. The total distance the train must cover to cross the platform is 110 + 495 = 605 meters. The speed of the train in meters per second is 72 × (5/18) = 20 m/s. The time taken to cross the platform is total distance divided by speed, which gives 605 / 20 = 30.25 seconds.

Explanation

Evaluating the left-hand side gives 6080 ÷ 19 = 320. Setting up the percentage equation: 320 = (? / 100) × 256. Solving for ?: ? = (320 × 100) / 256 ? = 32000 / 256 = 125.

Explanation

First, calculate 48% of 625: (48 / 100) × 625 = 12 × 25 = 300. Next, divide 300 by 0.75: 300 ÷ 0.75 = 300 ÷ (3 / 4) = 300 × (4 / 3) = 400.

Explanation

Applying standard order of operations: √225 = 15 150 × 30 ÷ 6 = 4500 ÷ 6 = 750 11 × 20 = 220 Combining these terms gives 15 + 750 - 220 = 545.

Explanation

Following basic arithmetic operations from left to right: 345 + 727 = 1072 1072 - 628 = 444.

Explanation

Evaluate the numerical terms: 16² = 256 428 - 298 = 130 Rearranging the equation to solve for ?: ? = 130 + 256 = 386.

Explanation

Convert 3/2 to 1 + 1/2. Separating the whole numbers and fractions: Whole number part = 4 + 1 - 2 = 3 Fractional part = 5/8 + 1/2 - 2/3 Taking the LCM of denominators 8, 2, and 3 as 24: (15 + 12 - 16) / 24 = 11/24 Combining the whole and fractional parts gives 3 11/24.

Explanation

Calculate 80% of 1200: (80 / 100) × 1200 = 960 Left-hand side of the equation: 360 - 960 = -600 Solving for ?: -600 = ? - 840 ? = 840 - 600 = 240.

Explanation

Evaluate the right-hand side of the equation: 28² = 784 20² = 400 784 - 1180 + 400 = 1184 - 1180 = 4 Setting up the equation for ?: √? = 4 Squaring both sides gives ? = 4² = 16.

Explanation

Applying order of operations: 25 × 12 = 300 4800 ÷ 12 = 400 Substitute these into the equation: (?)² + 300 = 400 (?)² = 100 ? = √100 = 10.

Explanation

Evaluate each term within the brackets: 36 × 8 = 288 440 ÷ 8 = 55 Subtracting the second term from the first: 288 - 55 = 233.

Explanation

Adding the mixed fractions on the left side gives 7/3 + 19/6 = 14/6 + 19/6 = 33/6 = 11/2. Expressing 1 ½ as 3/2 on the right side gives ? − 3/2 = 11/2, so ? = 11/2 + 3/2 = 14/2 = 7.

Explanation

Evaluating the right side gives 30 × 1.6 = 48. Substituting this into 20% × (? + 96) = 48 yields 0.2 × (? + 96) = 48. Dividing both sides by 0.2 gives ? + 96 = 240, so ? = 240 − 96 = 144.

Explanation

Let balloons by A be x. Then balloons by B = 1.25x and balls by A = 1.5x. The difference between balls by A and balloons by B is 1.5x − 1.25x = 0.25x = 5, giving x = 20. Thus, A manufactures 20 balloons and 30 balls, while B manufactures 25 balloons and 30 + 6 = 36 balls. Total balls by A and B combined = 30 + 36 = 66. For toys, the ratio is 5:6 with a difference of 8, so 6y − 5y = 8, giving y = 8. Company A manufactures 40 toys and B manufactures 48 toys. Total toys by A and B combined = 40 + 48 = 88. The difference between total toys and total balls is 88 − 66 = 22.

Explanation

Let balloons manufactured by A be x, so balloons by B = 1.25x and balls by A = 1.5x. Given 1.5x − 1.25x = 5, we get 0.25x = 5, which gives x = 20. Thus, A manufactures 20 balloons and B manufactures 25 balloons. The percentage by which A is less than B is ((25 − 20) / 25) × 100% = (5 / 25) × 100% = 20%.

Explanation

Let balloons by A be x, so balloons by B = 1.25x and balls by A = 1.5x. Since 1.5x − 1.25x = 5, x = 20. Thus, company A manufactures 20 balloons and 30 balls. For toys, since the ratio of A to B is 5:6 and the difference is 8, company A manufactures 5 × 8 = 40 toys. Total items manufactured by A = 20 + 30 + 40 = 90. The average number of items manufactured by A is 90 / 3 = 30.

Explanation

Total orders of Pen and Pencil received by company C = 160 + 200 = 360. Total orders of Pencil and Eraser received by company B = 140 + 180 = 320. The required difference is 360 - 320 = 40.

Explanation

Total orders received by company C across all items = 160 + 200 + 60 = 420. Total orders received by company B across all items = 80 + 140 + 180 = 400. Percentage excess = [(420 - 400) / 400] × 100 = (20 / 400) × 100 = 5%.

Explanation

Total orders of Pen and Pencil received by company A = 160 + 120 = 280. Total orders of Pencil and Eraser received by company B = 140 + 180 = 320. The required ratio is 280 : 320 = 7 : 8.

Explanation

Average Pencil orders received by B and C = (140 + 200) / 2 = 170. Total Pen orders received by company A = 160. Required percentage = (170 / 160) × 100 = 106.25%.

Explanation

Total orders of Pen, Pencil, and Eraser received by company A = 160 + 120 + 100 = 380.

Explanation

The pattern in the series is multiplication by consecutive natural numbers: 24 × 1 = 24, 24 × 2 = 48, 48 × 3 = 144, 144 × 4 = 576, and 576 × 5 = 2880.

Explanation

The differences between consecutive terms double with each step: 33.8 - 32 = 1.8, 37.4 - 33.8 = 3.6, 44.6 - 37.4 = 7.2, and 59 - 44.6 = 14.4. The next difference is 14.4 × 2 = 28.8, so the missing value is 59 + 28.8 = 87.8.

Explanation

The term transition rule is x × n + 1, where n increases by 0.5 each step: 12 × 0.5 + 1 = 7, 7 × 1 + 1 = 8, 8 × 1.5 + 1 = 13, 13 × 2 + 1 = 27, and 27 × 2.5 + 1 = 68.5.

Explanation

The pattern alternates addition and subtraction of powers of 2 multiplied by 9: 72 + 9 = 81, 81 - 18 = 63, 63 + 36 = 99, 99 - 72 = 27, and 27 + 144 = 171.

Explanation

The series follows the rule x × n + 1, where n increases by 1 each step: 8 × 1 + 1 = 9, 9 × 2 + 1 = 19, 19 × 3 + 1 = 58, 58 × 4 + 1 = 233, and 233 × 5 + 1 = 1166.

Explanation

The age difference between two individuals remains constant over time, so the difference between A and B after 2 years is still 3 years. Given that A's age after 2 years is 25% more than B's age, let B's age after 2 years be B₂. Then A₂ = 1.25 × B₂, which gives A₂ - B₂ = 0.25 × B₂ = 3 years. Solving for B₂ gives B₂ = 12 years, making A's age after 2 years equal to 12 + 3 = 15 years.

Explanation

Since 30% of their combined income equals Rs. 13200, the total combined income of Aman and Bhanu is 13200 / 0.30 = Rs. 44000. With the income ratio of Aman to Bhanu being 6 : 5, the total ratio parts equal 11. Thus, Bhanu's income is (5 / 11) × 44000 = Rs. 20000.

Explanation

Simple interest is given by SI = (P × R × T) / 100. Because equal sums are invested at the same rate of interest, the interest ratio equals the time ratio T₁ / T₂ = X / (X + 4). Setting this ratio equal to 1 / 2 gives X / (X + 4) = 1 / 2, which yields 2X = X + 4, hence X = 4.

Explanation

Using the work equivalence relation (M₁ × D₁) / W₁ = (M₂ × D₂) / W₂, where 66% of the work corresponds to 2/3 of the total work: (6 × 128) / 1 = (M₂ × 32) / (2/3). Multiplying gives 768 = 48 × M₂, which yields M₂ = 768 / 48 = 16 men.

Explanation

When a train crosses a pole, the distance covered equals its own length, which remains constant. Using S₁ × T₁ = S₂ × T₂, substituting the given values yields 144 × 15 = 108 × T₂. Solving for T₂ gives T₂ = (144 × 15) / 108 = 20 seconds.