IBPS RRB Clerk Prelims 2024 Numerical Ability Questions with Solutions

Explanation

Simplify the arithmetic operation on the left: 8 × 7 = 56. The equation becomes: 24 × ?² - 56 = 3400 24 × ?² = 3400 + 56 = 3456 ?² = 3456 / 24 = 144 ? = √144 = 12.

Explanation

Calculate the terms on both sides: 15² = 225 19² = 361 Right-hand side: 361 - 11 = 350. The equation becomes: 12.5 × ? + 225 = 350 12.5 × ? = 350 - 225 = 125 ? = 125 / 12.5 = 10.

Explanation

Calculate the individual terms: 12% of 125 = (12 / 100) × 125 = 15 √1296 = 36 1³ = 1 Right-hand side: 36 + 1 = 37. The equation becomes: 176/? + 15 = 37 176/? = 37 - 15 = 22 ? = 176 / 22 = 8.

Explanation

Calculate the right-hand side: 5³ + 30 = 125 + 30 = 155. The equation becomes: 128 + 15% of ? = 155 15% of ? = 155 - 128 = 27 (15 / 100) × ? = 27 ? = (27 × 100) / 15 = 180.

Explanation

Calculate the terms on the right-hand side: 19² = 361 √49 = 7 Right-hand side: 361 + 7 = 368. The equation becomes: 245.8 + ? = 368 ? = 368 - 245.8 = 122.2.

Explanation

11² = 121 488 - 121 + 74 = 441 √441 = 21 LHS = 21 × 4 = 84 Since 84 = ? % of 700, we have 84 = (? / 100) × 700 = 7 × ? ? = 84 / 7 = 12

Explanation

√169 = 13 √196 = 14 √16 = 4 √4 = 2 (13 + 14) × (4 - 2) = 27 × 2 = 54

Explanation

6³ = 216 7² = 49 8³ = 512 9² = 81 6³ - 7² + 8³ - 9² = 216 - 49 + 512 - 81 = 598

Explanation

140 / 3.5 = 40 64 × (3/8) = 24 Substituting 1225 into the expression gives √1225 = 35, which satisfies the simplified equation to give 40.

Explanation

Convert all fractions on the left-hand side to a common denominator of 18: 31/3 = 186/18 11/2 = 99/18 8 8/9 = 80/9 = 160/18 186/18 + 99/18 - 160/18 = 125/18 (125/18) × (36/5) = (125 × 36) / (18 × 5) = 25 × 2 = 50

Explanation

The perimeter of a square with side 16 cm is 4 × 16 = 64 cm. The perimeter of a rectangle is given by 2 × (length + breadth). Since the square perimeter is half the rectangle perimeter, 64 = ½ × 2 × (L + 20). Simplifying yields 64 = L + 20, which gives length L = 44 cm.

Explanation

Marked Price = Selling Price / (1 - Discount Percentage) = 3000 / 0.8 = 3750. Cost Price = Selling Price / (1 + Profit Percentage) = 3000 / 1.2 = 2500. Difference between Marked Price and Cost Price = 3750 - 2500 = 1250.

Explanation

Initial total weight = 30 × 72.5 = 2175 kg. New total weight = 2175 - 181 + 393 = 2387 kg. New total number of people = 30 - 2 + 3 = 31. Resultant average weight = 2387 / 31 = 77 kg.

Explanation

Downstream speed = 39 / 3 = 13 km/hr. Speed of stream = Downstream speed - Still water speed = 13 - 10 = 3 km/hr. Upstream speed = Still water speed - Speed of stream = 10 - 3 = 7 km/hr. Total time = (26 / 13) + (14 / 7) = 2 + 2 = 4 hours.

Explanation

Ram's investment duration is 6 months while Rahul's investment duration is 12 months. Profit ratio of Ram to Rahul = (4500 × 6) : (1800 × 12) = 27000 : 21600 = 5 : 4.

Explanation

Speed of train A = Total distance / Time = (150 + 250) / 16 = 400 / 16 = 25 m/s. Speed of train B = 25 × (1 + 0.40) = 25 × 1.4 = 35 m/s.

Explanation

Let total income be I. Remaining income after house rent = I × (1 - 0.25) = 0.75 I. Savings = Remaining income × (1 - 0.80) = 0.75 I × 0.20 = 0.15 I. 0.15 I = 6000, which gives I = 40000. Amount spent on house rent = 0.25 × 40000 = 10000.

Explanation

Let the total initial volume be x liters. In 8 liters of removed mixture, milk removed = 8 × (5/8) = 5 L and water removed = 8 × (3/8) = 3 L. Remaining milk = 5x/8 - 5 and remaining water = 3x/8 - 3. After adding 8 liters of water, new water volume = 3x/8 + 5. Equating milk and water in resultant mixture: 5x/8 - 5 = 3x/8 + 5. 2x/8 = 10, which gives x = 40 liters.

Explanation

Simple Interest SI = Amount - Principal = 31000 - 25000 = 6000. Using SI = (P × R × T) / 100: 6000 = (25000 × R × 2) / 100 6000 = 500 R R = 12%.

Explanation

Let Ram's efficiency be 2x and Shyam's efficiency be x. Combined efficiency = 3x. Total work = Combined efficiency × Time = 3x × 16 = 48x. Time required for Shyam alone = Total work / Shyam's efficiency = 48x / x = 48 days.

Explanation

The governing rule of the series is term × 2 + 2. Starting with 8: 8 × 2 + 2 = 18. 18 × 2 + 2 = 38 38 × 2 + 2 = 78 78 × 2 + 2 = 158 158 × 2 + 2 = 318 318 × 2 + 2 = 638 Thus, 16 is incorrect and should be 18.

Explanation

The pattern in the series is based on adding consecutive cubes to each preceding term: 224 + 1³ = 225 225 + 2³ = 233 233 + 3³ = 260 260 + 4³ = 324 324 + 5³ = 449 449 + 6³ = 665 Comparing the calculated fifth term of 449 with the given series shows that 447 is the wrong number in the sequence.

Explanation

The differences between consecutive terms follow an arithmetic progression with a common difference of 3: 48 + 18 = 66 66 + 21 = 87 87 + 24 = 111 111 + 27 = 138 138 + 30 = 168 168 + 33 = 201 The sequence of differences added at each step is 18, 21, 24, 27, 30, and 33. Replacing 64 with 66 satisfies the pattern throughout the series.

Explanation

The pattern consists of adding increasing multiples of 5 to each term: 5 + 5 = 10 10 + 10 = 20 20 + 15 = 35 35 + 20 = 55 55 + 25 = 80 80 + 30 = 110 The sequence of differences is 5, 10, 15, 20, 25, 30. The sixth term should be 80 instead of 78.

Explanation

The pattern subtracts consecutive odd numbers starting from 23: 147 - 23 = 124 124 - 21 = 103 103 - 19 = 84 84 - 17 = 67 67 - 15 = 52 52 - 13 = 39 The differences between consecutive terms are -23, -21, -19, -17, -15, and -13. Therefore, the second term should be 124 instead of 120.

Explanation

From the table, the total number of people participating in Yoga on Monday is 289, and the total number of people participating in Zumba on Wednesday is 218. Calculating the required difference: 289 - 218 = 71

Explanation

Let the unknown value be x. The given equation is: {(400% of x + 15 × 12) - 140} = 60 Simplify 400% of x as 4x and compute 15 × 12 = 180: {(4x + 180) - 140} = 60 4x + 40 = 60 4x = 20 x = 5

Explanation

Evaluate the square root term: √1369 = 37 Substitute this value into the equation: 2996 + 37 = ? × 9 3033 = ? × 9 ? = 3033 / 9 = 337

Explanation

Convert 22 2/9% into a simple fraction: 22 2/9% = (200/9)% = 2/9 Calculate 2/9 of 72: (2/9) × 72 = 16 Evaluate the square root term: √1444 = 38 Sum the two components: 16 + 38 = 54

Explanation

First, calculate 25% of 2560: 25% of 2560 = 2560 / 4 = 640 Substitute this value into the equation: 840 = 640 + 12.5% of ? 840 - 640 = 12.5% of ? 200 = (1/8) × ? ? = 200 × 8 = 1600

Explanation

First, compute the percentage expression from right to left: 45% of 200 = (45 / 100) × 200 = 90 Next, find 20% of 90: 20% of 90 = (20 / 100) × 90 = 18 Finally, add 24: 24 + 18 = 42

Explanation

Evaluating the product of fractions: (820 / 510) × (1700 / 410) = (820 / 410) × (1700 / 510) 820 ÷ 410 = 2 1700 ÷ 510 = 170 / 51 = 10 / 3 Multiplying these gives 2 × (10 / 3) = 20 / 3 = 6⅔.

Explanation

Express each term as a power of 64: 8¹⁶ = (8²)⁸ = 64⁸ 64³⁵ = 64³⁵ 512¹² = (8³)¹² = 8³⁶ = (8²)¹⁸ = 64¹⁸ Applying exponent rules: 64⁸ × 64³⁵ ÷ 64¹⁸ = 64⁽8 + 35 - 18) = 64²⁵ Equating exponents gives ? = 25.

Explanation

First, calculate the product: 55 × 44 = 2420 Next, calculate the percentage: 17.5% of 1600 = (17.5 / 100) × 1600 = 17.5 × 16 = 280 Adding the two values gives 2420 + 280 = 2700.

Explanation

Convert the mixed numbers to fractions: 3½ = 7/2, 7⅔ = 23/3, and 9⁶⁄₇ = 69/7. The left side becomes (7/2) × (23/3) ÷ (69/7), which equals (7/2) × (23/3) × (7/69). Multiplying gives (7×23×7)/(2×3×69) = 1127/414, and since 69 = 3×23, this simplifies to (7×7)/(2×3×3) = 49/18. Setting this equal to (?²)/2 gives ?² = 49/18 × 2 = 49/9. Taking the square root of both sides gives ? = 7/3.

Explanation

First, calculate the left side: 29² = 841 13 × 3 = 39 841 + 39 = 880 Set up the equation: 880 = ? × 10 Solving for ? gives 880 / 10 = 88.

Explanation

Simplify the terms in the equation: 8² + 26 = 64 + 26 = 90 60² = 3600 Substitute into the equation: ? × 90 = 3600 Solving for ? gives 3600 / 90 = 40.

Explanation

Calculate 8³: 8³ = 512 Subtract 512 from both sides of the equation: ?% of 800 = 1024 - 512 = 512 Since ?% of 800 = (? / 100) × 800 = 8 × ?, we have: 8 × ? = 512 ? = 512 / 8 = 64.

Explanation

First, calculate 32% of 1700: (32 / 100) × 1700 = 32 × 17 = 544 Substitute back into the equation: 281 + ? = 544 ? = 544 - 281 = 263.

Explanation

Evaluate the squares: 11² = 121 23² = 529 Sum of the known terms: 121 + 529 = 650 Solving for ?: 650 + ? = 800 ? = 800 - 650 = 150.

Explanation

Calculate each percentage term separately: 25% of 124 = (1 / 4) × 124 = 31 35% of 60 = (35 / 100) × 60 = 0.35 × 60 = 21 Summing the results: 31 + 21 = 52.