30 Simplification Questions for Bank Exams

Tap on any question to reveal the detailed step-by-step solution. Master simplification with these practice problems!

Question 1: 45% of 300 + √? = 56% of 750 – 10% of 250

1
Calculate each percentage term separately.
Remember, “x% of y” is (x/100) * y.
45% of 300 =
⁴⁵/₁₀₀
× 300 = 45 × 3 = 135
56% of 750 =
⁵⁶/₁₀₀
× 750 =
⁵⁶/₂
× 15 = 28 × 15 = 420
10% of 250 =
¹⁰/₁₀₀
× 250 = 25
2
Substitute the calculated values back into the equation.
135 + √? = 420 – 25
3
Simplify the right side of the equation.
135 + √? = 395
4
Isolate the square root term.
√? = 395 – 135
√? = 260
5
Solve for ‘?’ by squaring both sides.
? = 2602 = 260 × 260
? = 67600

The value of ? is 67600.

Question 2: (180 × 15 – 12 × 20) ÷ (140 × 8 + 2 × 55) = ?

1
Solve the expression in the numerator first, following BODMAS (Multiplication first).
180 × 15 = 2700
12 × 20 = 240
Numerator = 2700 – 240 = 2460
2
Solve the expression in the denominator, following BODMAS (Multiplication first).
140 × 8 = 1120
2 × 55 = 110
Denominator = 1120 + 110 = 1230
3
Divide the numerator by the denominator.
? =
²⁴⁶⁰/₁₂₃₀
4
Simplify the fraction.
? = 2

The answer is 2.

Question 3: 38 + 16 × 0.8 – 13 = ?

1
Apply the BODMAS rule. Multiplication comes before Addition and Subtraction.
16 × 0.8 = 12.8
2
Substitute the result back into the expression.
? = 38 + 12.8 – 13
3
Perform the addition.
38 + 12.8 = 50.8
4
Perform the subtraction.
? = 50.8 – 13 = 37.8

The answer is 37.8.

Question 4: 1252/3 × 625-1/4 = 5?

1
Express all numbers as powers of 5.
125 = 53
625 = 54
2
Substitute these back into the equation.
(53)2/3 × (54)-1/4 = 5?
3
Apply the power of a power rule (am)n = amn.
53 × (2/3) × 54 × (-1/4) = 5?
52 × 5-1 = 5?
4
Apply the product of powers rule am × an = am+n.
52 + (-1) = 5?
51 = 5?
5
Since the bases are equal, the exponents must be equal.
? = 1

The value of ? is 1.

Question 5: ? % of (584.4 – 244.4) = 752 + 25

1
Solve the terms inside the parentheses and on the right side.
584.4 – 244.4 = 340
752 = 75 × 75 = 5625
2
Substitute the results back into the equation.
? % of 340 = 5625 + 25
? % of 340 = 5650
3
Convert the percentage to a fraction.
^?/₁₀₀
× 340 = 5650
4
Solve for ‘?’.
? × 3.4 = 5650
? =
⁵⁶⁵⁰/_3.4
? =
⁵⁶⁵⁰⁰/₃₄
= 1661.76 (approx)

The value of ? is approximately 1661.76.

Question 6: 74 + 12 × 0.75 – 6 = ?

1
Multiplication first (BODMAS).
12 × 0.75 = 9
2
Substitute back.
? = 74 + 9 – 6
3
Addition then subtraction.
83 – 6 = 77

The answer is 77.

Question 7: 16.5% of 1400 – 8.5% of 1200 = ?

1
Calculate each term.
16.5% of 1400 = 0.165 × 1400 = 231
8.5% of 1200 = 0.085 × 1200 = 102
2
Subtract the results.
? = 231 – 102 = 129

The answer is 129.

Question 8: √529 + √841 = ?2

1
Find the square roots.
√529 = 23
√841 = 29
2
Add them.
23 + 29 = 52
3
Solve for ?.
52 = ?2
? = √52

The value of ? is √52.

Question 9: (5/8) × 248 + (3/5) × 375 = ?

1
Calculate the first term.
(5/8) × 248 = 5 × (248/8) = 5 × 31 = 155
2
Calculate the second term.
(3/5) × 375 = 3 × (375/5) = 3 × 75 = 225
3
Add the results.
? = 155 + 225 = 380

The answer is 380.

Question 10: 1440 ÷ 9 + 45 × 11 = ?

1
Apply BODMAS (Division and Multiplication have same priority, solve left to right).
1440 ÷ 9 = 160
45 × 11 = 495
2
Add the results.
? = 160 + 495 = 655

The answer is 655.

Question 11: 332 – 312 + 23 = ?

1
Calculate the powers.
332 = 1089
312 = 961
23 = 8
2
Perform the operations.
? = 1089 – 961 + 8
? = 128 + 8 = 136

The answer is 136.

Question 12: (? – 968) ÷ 79 × 4 = 512

1
Isolate the parenthesis term.
(? – 968) ÷ 79 = 512 ÷ 4
(? – 968) ÷ 79 = 128
2
Multiply by 79.
? – 968 = 128 × 79
? – 968 = 10112
3
Solve for ?.
? = 10112 + 968 = 11080

The value of ? is 11080.

Question 13: 15% of 600 + 25% of 160 = ?

1
Calculate each term.
15% of 600 = 0.15 × 600 = 90
25% of 160 = 0.25 × 160 = 40
2
Add the results.
? = 90 + 40 = 130

The answer is 130.

Question 14: 73 + 82 – 12 × 5 = ?

1
Calculate powers and multiplication.
73 = 343
82 = 64
12 × 5 = 60
2
Perform addition and subtraction.
? = 343 + 64 – 60
? = 407 – 60 = 347

The answer is 347.

Question 15: 3.5 × (48 ÷ 1.5) = ?

1
Solve the parenthesis first (BODMAS).
48 ÷ 1.5 = 48 ÷ (3/2) = 48 × (2/3) = 32
2
Perform the multiplication.
? = 3.5 × 32 = 112

The answer is 112.

Question 16: √1225 ÷ 7 + 12 = ? × 5

1
Find the square root.
√1225 = 35
2
Solve the left side.
35 ÷ 7 + 12 = 5 + 12 = 17
3
Solve for ?.
17 = ? × 5
? = 17 ÷ 5 = 3.4

The value of ? is 3.4.

Question 17: 20% of ? = (45 × 20) ÷ 30

1
Solve the right side.
(45 × 20) ÷ 30 = 900 ÷ 30 = 30
2
Set up the equation for ?.
0.20 × ? = 30
3
Solve for ?.
? = 30 ÷ 0.20 = 150

The value of ? is 150.

Question 18: 3/4 of 168 + 5/6 of 186 = ?

1
Calculate each term.
(3/4) × 168 = 3 × 42 = 126
(5/6) × 186 = 5 × 31 = 155
2
Add the results.
? = 126 + 155 = 281

The answer is 281.

Question 19: (82 × 52) ÷ 202 = ?

1
Use the rule (a×b)n = an×bn.
(8 × 5)2 ÷ 202
402 ÷ 202
2
Use the rule an÷bn = (a÷b)n.
(40 ÷ 20)2 = 22
3
Calculate the final value.
? = 4

The answer is 4.

Question 20: 555 ÷ 3.7 – 25 = ?

1
Perform the division.
555 ÷ 3.7 = 5550 ÷ 37 = 150
2
Perform the subtraction.
? = 150 – 25 = 125

The answer is 125.

Question 21: (√784) + 12 = 4 × ?

1
Find the square root.
√784 = 28
2
Solve the left side.
28 + 12 = 40
3
Solve for ?.
40 = 4 × ?
? = 40 ÷ 4 = 10

The value of ? is 10.

Question 22: 44% of 125 + 75% of 840 = ?

1
Calculate each term.
44% of 125 = 0.44 × 125 = 55
75% of 840 = (3/4) × 840 = 3 × 210 = 630
2
Add the results.
? = 55 + 630 = 685

The answer is 685.

Question 23: 16 × 8 – ? = 26

1
Calculate the known values.
16 × 8 = 128
26 = 64
2
Substitute back.
128 – ? = 64
3
Solve for ?.
? = 128 – 64 = 64

The value of ? is 64.

Question 24: 17 + (4 × 8) ÷ 2 = ?

1
Solve the parenthesis first.
4 × 8 = 32
2
Substitute and solve division.
17 + 32 ÷ 2 = 17 + 16
3
Perform addition.
? = 33

The answer is 33.

Question 25: 2560.16 × 160.18 = ?

1
Express all bases as powers of 4 (or 2).
256 = 44
16 = 42
2
Substitute and apply power rules.
(44)0.16 × (42)0.18
44 × 0.16 × 42 × 0.18
40.64 × 40.36
3
Add the exponents.
40.64 + 0.36 = 41 = 4

The answer is 4.

Question 26: 12.5 × 14 ÷ 8.75 + 42 = 50 + ?

1
Convert decimals to fractions.
12.5 = 25/2; 8.75 = 35/4
2
Solve the first part of the left side.
(25/2) × 14 ÷ (35/4) = (25/2) × 14 × (4/35)
= (25 × 7) × (4/35) = 175 × (4/35) = 5 × 4 = 20
3
Solve the full equation.
20 + 42 = 50 + ?
62 = 50 + ?
? = 12

The value of ? is 12.

Question 27: 52 × 255 ÷ 5 – 1116 = ?

1
Apply BODMAS (Exponents first).
25 × 255 ÷ 5 – 1116
2
Division next.
25 × 51 – 1116
3
Multiplication next.
1275 – 1116
4
Subtraction last.
? = 159

The answer is 159.

Question 28: (4.5 + 3.5)2 – (6.5 – 2.5)2 = ?

1
Solve the parentheses.
(8)2 – (4)2
2
Calculate the squares.
64 – 16
3
Perform the subtraction.
? = 48

The answer is 48.

Question 29: 110 ÷ 2.5 + 16 × 1.5 = ?

1
Solve division and multiplication from left to right.
110 ÷ 2.5 = 1100 ÷ 25 = 44
16 × 1.5 = 24
2
Add the results.
? = 44 + 24 = 68

The answer is 68.

Question 30: 25% of 240 + 35% of 200 = ?% of 520

1
Calculate the left side.
25% of 240 = (1/4) × 240 = 60
35% of 200 = 0.35 × 200 = 70
Left Side = 60 + 70 = 130
2
Set up the equation for ?.
130 = (?/100) × 520
3
Solve for ?.
130 = ? × 5.2
? = 130 / 5.2 = 1300 / 52 = 25

The value of ? is 25.