IBPS RRB Clerk Prelims 2022 Numerical Ability Questions with Solutions

Explanation

Evaluate each radical and exponent term in the expression: √12.25 = 3.5 3.5 × 18 = 63 6² = 36 √4 = 2

Substitute these values into the left side of the equation: 63 - 36 - 2 = 25

The equation simplifies to: (?)² = 25

Taking the positive square root of 25 yields the final answer: ? = √25 = 5

Explanation

Simplify the numerator and the denominator inside the parentheses first: Numerator = 1350 + 1625 = 2975 Denominator = 625 + 565 = 1190

Now divide the numerator by the denominator to find the value of ?: ? = 2975 ÷ 1190

This can also be simplified by dividing both numbers by 119, giving 25 ÷ 10 = 2.5.

Explanation

Evaluate the roots on the left side: √625 = 25 ∛64 = 4

Substitute these into the left side of the expression: (25 ÷ 4) × 6 = 6.25 × 6 = 37.5

Set up the percentage equation: 37.5 = (? ÷ 100) × 150

Simplify the right side: 37.5 = 1.5 × ?

Solve for ?: ? = 37.5 ÷ 1.5 = 25

Explanation

Calculate the terms on the left side of the equation: 15 × 26 = 390 15² = 225

Substitute these into the expression: 390 + 310 - 225 = 700 - 225 = 475

The equation becomes: 475 = 20% of ?

Convert 20% to its decimal form (0.20): 475 = 0.20 × ?

Solve for ?: ? = 475 ÷ 0.20 = 2375

Explanation

Calculate each component step by step: 3² = 9 √625 = 25 3² × √625 = 9 × 25 = 225 35² = 1225 Adding all terms: 225 + 1225 + 150 = 1600 Since (?)² = 1600, taking the square root gives ? = 40.

Explanation

Group the integer and fractional parts separately: Integer sum: 6 + 3 - 7 - 1 = 1 Fractional sum using the common denominator 40: 3/4 + 6/5 - 7/8 - 7/10 = (30 + 48 - 35 - 28) / 40 = 15/40 = 3/8 Combining the integer and fractional parts gives ? = 1⅜.

Explanation

Evaluate the right-hand side first: (250/3)% of 12 = (250 / 300) × 12 = (5/6) × 12 = 10 Now set up and solve the equation for the left-hand side: √(80% of (? + 60)) = 10 Squaring both sides gives: 80% of (? + 60) = 100 (4/5) × (? + 60) = 100 ? + 60 = 125 ? = 65

Explanation

Calculate each operation following standard order of operations: 250% of 300 = 2.5 × 300 = 750 55 × 40 = 2200 Now substitute into the expression: 750 - 2200 + 2700 = 1250