1. 1432 + 1882 + 2012 − 1422 − 1862 − 1992 = ?
A) 1833 B) 1783 C) 1567 D) 1098
Sol: Here, we can find some number are (143,142), (188,186) and (201,199)
we are having a2 − b 2 = (a + b)(a − b)
= 1432 − 1422 + 1882 − 1862 + 2012 − 1992
= (143 +142) (143 −142) + (188 − 186) (188 + 186) + (201 − 199) (201 + 199)
=1833
Ans: A
2. 6412 ÷ 415 = 64?
A) 6 B) 8 C) 7 D) 5
Sol: In order to solve, the questions having bases and powers, the base should be same. we have
am × an = am + n
= 436−15 = 43x
= 421 = 43x
3x = 21
⇒ x = 7
Ans: C
3. 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 = ?
4. 2 ÷ 4 ÷ 8 ÷ 16 = ?
5. 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 of 5 = ?
Sol: In the above problem, we are having the different mathematical operations, division and of whenever different mathematical operations are there, we have to solve them according to VBODMAS rule. Here we have to proceed initially of operation, so
5 ÷ 5 ÷ 5 ÷ 5 ÷ 25
Ans: B
6. 2 ÷ 2 ÷ 2 ÷ 2 ÷ 2 × 2 = ?
Sol: According to VBODMAS rule, we have to proceed initially Division operation and then multiplication
Ans: A
Ans: C
9. 18 − [ 6 − {4 − (8 − 6 + 3)}] = ?
A) 16 B) 17 C) 18 D) 19
Sol: VBODMAS
V → Vinculum (or) Bar-
B → Bracket → (), {}, []
O → Of
D → Division ÷
M → Multiplication ×
A → Addition +
S → Subtraction −
= 18 − [6 − {4 − (8 − 9)}]
= 18 − [6 − {4 + 1}]
= 18 − [6 − 5]
= 18 − 1 = 17
Ans: B
Ans: B
Ans: B
12. 40% of [{(220% of 40) −10}]% of 500 = ?
A) 130 B) 156 C) 128 D) 142
Sol: Whenever % symbol with two zeroes are there, simply multiply the remaining digits, For example 30% of 60 Simply 3 × 6 = 18
70% of 40 = 7 × 4 = 28
= 40% of [{88} −10] % of 500
Ans: B
15. 12.3% of 203 + 23% of 1110 = ?
A) 270.269 B) 240.269 C) 280.269 D) 290.269
Sol: x% of y = y% of x
24.6 + 0.369 + 253 + 2.3 = 280.269
Ans: C
A) 8 B) 9 C) 10 D) 11
Sol: a3 + b3 = (a + b) (a2 − ab + b2 ) (2.36)3 + (6.64)3
= (2.36 + 6.64) (2.362 − 2 36 × 6.64 + 6.642 )
Required answer = 2.36 + 6.64 = 9
[Remaining part will gets cancelled]
Ans: B
17. 13% of 1100 + 17% of 2100 = ? + 26% of 350
A) 409 B) 411 C) 413 D) 415
Sol: x% of y = y% of x
⇒ 13% of 1100 = 1100% of 13
= 11 × 13 = 143
⇒ 143 + 357 = x + 91 ⇒ x = 409
Ans: A
Sol: Let's take a = 242
b = 184
We have (a + b)2 = a2 + 2ab + b2
(a − b)2 = a2 − 2ab + b2
Ans: B
19. (154 × 2.5 ÷ 0.5) ÷ ? = 192.5
A) 6 B) 8 C) 2 D) 4
⇒ x = 4
Ans: D
20. 57 − 1725 ÷ 69 = 4 × ?
A) 9 B) 11 C) 13 D) 8
⇒ x = 8
Ans: D
22. 36 × 48 ÷ 64 + 36 ÷ 12 = ?
A) 30 B) 18 C) 12 D) 24
Ans: A
23. 83.3% of 168 + 45.45% of 132 = ?
A) 200 B) 210 C) 220 D) 240
⇒ 140 + 60
⇒ 200
Ans: A
