Simplification: Bank Exam Practice Questions (SBI, IBPS, RRB, PO & Clerk)
Q. 1 Calculate the value that, when multiplied by 50%, equals the sum of (4/11) of 143 and (7/15) of 120.
Check Solution
Ans: B
Explanation: First, calculate (4/11) of 143: (4/11) * 143 = 52. Next, calculate (7/15) of 120: (7/15) * 120 = 56. Then, find the sum of the two results: 52 + 56 = 108. The question asks for a value that, when multiplied by 50% (or 0.5), equals 108. Therefore, we can set up the equation 0.5 * x = 108. Solving for x gives x = 108 / 0.5 = 216.
Correct Option: B
Q. 2 Estimate the result of the following calculation: $(599.02 / 119.98) + (1659.83 / 82.95) – \sqrt{10001}$
Check Solution
Ans: B
Explanation: We can approximate the calculation as follows:
(599.02 / 119.98) ≈ 600 / 120 = 5
(1659.83 / 82.95) ≈ 1660 / 83 ≈ 20
√10001 ≈ √10000 = 100
So the calculation becomes: 5 + 20 – 100 = 25 – 100 = -75
Correct Option: B
Q. 3 Estimate the value of ‘?’ in the following equation: (34% of 550) / ? = 297 + $\sqrt{729}$ – $\sqrt{90000}$
Check Solution
Ans: C
Explanation: First, calculate the components of the equation.
34% of 550 = (34/100) * 550 = 187
Square root of 729 = 27
Square root of 90000 = 300
So the equation becomes: 187 / ? = 297 + 27 – 300
Simplify the right side: 297 + 27 – 300 = 24
Now the equation is: 187 / ? = 24
Therefore, ? = 187 / 24 ≈ 7.79. Since we need to estimate, the answer should be close to 7.79.
The closest options is C, 8.
Correct Option: C
Q. 4 Estimate the value of ‘?’ in the following equation: (60 / 15 / 16) * ? = 36
Check Solution
Ans: C
Explanation: First, simplify the division within the parentheses: 60 / 15 = 4. Then, 4 / 16 = 0.25. The equation becomes: 0.25 * ? = 36. To find ?, divide 36 by 0.25: ? = 36 / 0.25 = 144.
Correct Option: C
Q. 5 Estimate the value of the expression: $ \sqrt{21.88 \times 5.25 + \frac{581.98}{1.9} + \frac{\sqrt{575.86} \times 4.95}{2.97}} $
Check Solution
Ans: A
Explanation: Let’s approximate the values to simplify the calculation:
* 21.88 ≈ 22
* 5.25 ≈ 5
* 581.98 ≈ 580
* 1.9 ≈ 2
* 575.86 ≈ 576
* 4.95 ≈ 5
* 2.97 ≈ 3
Now, substitute the approximations:
Square root of (22 * 5 + 580 / 2 + Square root of 576 * 5 / 3)
= Square root of (110 + 290 + 24 * 5 / 3)
= Square root of (110 + 290 + 120 / 3)
= Square root of (110 + 290 + 40)
= Square root of (440)
Now let’s estimate the square root of 440. Since 21*21 = 441, the square root of 440 is close to 21.
Correct Option: A
Q. 6 Estimate the value of the expression: $\frac{\sqrt[5]{32} \times \sqrt[4]{81} \times 5^2}{2.3}$?
Check Solution
Ans: A
Explanation:
1. **Fifth root of 32:** 32 is 2^5, so the fifth root of 32 is 2.
2. **Fourth root of 81:** 81 is 3^4, so the fourth root of 81 is 3.
3. **Square of 5:** 5^2 = 25.
4. **Multiply the results:** 2 * 3 * 25 = 150
5. **Divide by 2.3:** 150 / 2.3 is approximately 65.2.
6. Looking at the options, 65 is the closest answer.
Correct Option: A
Q. 7 What is the approximate result of the following calculation: $ 64 \times 4 – 14^2 + 50$?
Check Solution
Ans: C
Explanation: First, calculate 64 multiplied by 4, which equals 256. Next, calculate 14 squared (14 * 14), which equals 196. Then, subtract 196 from 256, which results in 60. Finally, add 50 to 60, resulting in 110.
Correct Option: C
Q. 8 Estimate the value of the expression: 91.97 + 26.98 – 83.90 + 112.98 + 100 = ?
Check Solution
Ans: D
Explanation: We can estimate the value by rounding each number to the nearest whole number or convenient value:
* 91.97 ≈ 92
* 26.98 ≈ 27
* 83.90 ≈ 84
* 112.98 ≈ 113
* 100 = 100
Now we can perform the calculation: 92 + 27 – 84 + 113 + 100 = 248. The answer choices include 248, but the slight rounding may yield slightly different answers. So let’s add the exact numbers to see how close we are: 92+27=119; 119-84=35; 35+113=148; 148+100=248.
Correct Option: D
Q. 9 Estimate the value of the missing number (?) in the following equation: $ (49.99 \times 11.99) – (33.94 \times 11.11) = (34.99 + x) \times 5.05 $
Check Solution
Ans: C
Explanation: Let’s approximate the equation: (50 * 12) – (34 * 11) = (35 + ?) * 5
Simplifying: 600 – 374 = (35 + ?) * 5
226 = (35 + ?) * 5
Divide both sides by 5: 226/5 = 35 + ?
45.2 = 35 + ?
? = 45.2 – 35
? ≈ 10
However, using the exact values provides a slightly different answer:
(49.99 * 11.99) – (33.94 * 11.11) = (34.99 + ?) * 5.05
599.88 – 376.99 = (34.99 + ?) * 5.05
222.89 = (34.99 + ?) * 5.05
222.89/5.05 = 34.99 + ?
44.13 = 34.99 + ?
? = 44.13 – 34.99
? ≈ 9.14
Using either the approximation or the more precise calculation, the closest answer from the provided options is 10.
Correct Option: C
Q. 10 Estimate the value of the variable (x) in the equation: $ 0.5 \times 1900 + 8^3 \times 5 + x = 5^3 \times 28 $
Check Solution
Ans: D
Explanation: First, calculate the known values: 50% of 1900 = 0.5 * 1900 = 950. 8 cubed (8^3) = 8*8*8 = 512. 512 * 5 = 2560. 5 cubed (5^3) = 5*5*5 = 125. 125 * 28 = 3500.
The equation is: 950 + 2560 + ? = 3500.
Simplify: 3510 + ? = 3500.
Solve for ?: ? = 3500 – 3510 = -10.
Correct Option: D
Q. 11 Simplify the expression $\frac{192 – 27 \times 4}{7} + 13 \times 6$. What is the approximate result?
Check Solution
Ans: E
Explanation: First, calculate the expression within the parentheses: 27 multiplied by 4 = 108. Then, subtract this from 192: 192 – 108 = 84. Next, divide the result by 7: 84 / 7 = 12. Finally, calculate 13 multiplied by 6: 13 * 6 = 78. Add these two results together: 12 + 78 = 90.
Correct Option: E
Q. 12 Simplify the following expression: $ 0.52 \times 150 + 15 \times 35 – \sqrt{841} \times 8$. What is the result?
Check Solution
Ans: C
Explanation: First, calculate 52% of 150: (52/100) * 150 = 78. Next, calculate 15 multiplied by 35: 15 * 35 = 525. Then, find the square root of 841: √841 = 29. Multiply the result by 8: 29 * 8 = 232. Finally, combine the results: 78 + 525 – 232 = 371.
Correct Option: C
Q. 13 Solve for the unknown value (x) in the equation: $\frac{15}{8} \times (46 + 18) + 25 = x + 55$
Check Solution
Ans: A
Explanation: First, calculate the sum within the parentheses: 46 + 18 = 64. Then multiply the fraction: (15/8) * 64 = 120. Next, add 25: 120 + 25 = 145. Finally, solve for the unknown value (?). The equation is now 145 = ? + 55. Subtract 55 from both sides: 145 – 55 = 90. Therefore, ? = 90.
Correct Option: A
Q. 14 What approximate value should come in place of the question mark (?) in the following question? (40.1% of 149.8) + (29.9% of 199.9) = (?)
Check Solution
Ans: B
Explanation: We can approximate the percentages and numbers to simplify the calculation:
40.1% ≈ 40% = 0.4
149.8 ≈ 150
29.9% ≈ 30% = 0.3
199.9 ≈ 200
So the equation becomes:
(0.4 * 150) + (0.3 * 200) = ?
60 + 60 = ?
120 = ?
The closest answer is 120.
Q. 15 What approximate value should come in the place of the question mark (?) in the following question? 35.1% of 401.1 + 54.8% of 299.8 = ?
Check Solution
Ans: A
Explanation: We can approximate the calculation as follows:
35% of 400 + 55% of 300 = ?
(35/100) * 400 + (55/100) * 300 = ?
140 + 165 = ?
305 = ?
Q. 16 What approximate value will come in the place of the question mark (?) in the following question? 1205.78 ÷ 40.12 × 19.89 = ?
Check Solution
Ans: E
Explanation: To solve this, we can approximate the values:
1205.78 ≈ 1200
40.12 ≈ 40
19.89 ≈ 20
The equation becomes: 1200 ÷ 40 × 20 = ?
First, divide 1200 by 40: 1200 ÷ 40 = 30
Then, multiply the result by 20: 30 × 20 = 600
Therefore, the answer is approximately 600.
Q. 17 What approximate value will come in the place of the question mark ‘?’ in the following question? 48.97 + 62.13 – 90.08 ÷ 29.95 × 5.05 = ?
Check Solution
Ans: C
Explanation: First, approximate the values: 49 + 62 – 90 / 30 * 5 = ?
Then calculate the division and multiplication: 49 + 62 – 3 * 5 = ?
Further, calculate multiplication: 49 + 62 – 15 = ?
Next, add and subtract: 111 – 15 = 96
The closest option to 96 is 99.
Next Chapter: Time and Distance
Practice: Bank Exam Questions (SBI, IBPS, RRB PO & Clerk)
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