# Quantitative Aptitude: Simplification Questions Set 75

Directions(1-10): What will come in place of question mark ‘?’ in the following questions.

1. (13)^54 * (13)^(-51) = (169)^2 * ?
13^-2
13^1
13^0
13^-1
13^2
Option D
(13)^54 * (13)^(-51) = (169)^2 * ?
=> ? = [ 13^(54-51)]/13^4
=> ? = 13^-1

2. 748 × ? × 9 = 861696
128
150
120
115
100
Option A
748 × ? × 9 = 861696
? = 128

3. 8(1/3)% × 240 + 8(1/3) % × 384 = 25/100 ×?
190
178
200
180
208
Option E
8(1/3)% × 240 + 8(1/3) % × 384 = 25/100 ×?
=>? /4 = 25/300 *
=>? = 208

4. 2115 ÷ ? = 94 × 15
2.2
1.8
3.9
3.2
1.5
Option E
2115 ÷ ? = 94 × 15
=>? = 2115/94*15
=> ? = 1.5

5. ? = √(273 − 119 × 3 + 280)
14
10
15
13
12
Option A
? = √(273 − 119 × 3 + 280)
? = √(273 − 357 + 280) = √196 = 14

6. 74156 – ? – 321 – 20 + 520 = 69894
4114
4000
4441
4040
4253
Option C
74156 – ? – 321 – 20 + 520 = 69894
? = 74676 – 69894 – 341 = 4441

7. 6573 ÷ 21 × (0.2)^2 =?
10.50
14.30
11.11
12.52
10.12
Option D
6573 ÷ 21 × (0.2)^2 =?
? = [6573*0.04]/21 = 12.52

8. (4)^? = 32 × 512 ÷ 128 × 8
1
5
2
3
4
Option B
(4)^? = 32 × 512 ÷ 128 × 8
=>(4)^? = (32 × 512 × 8)/ 128 = 1024
=> (4)^? = (4)^5
⇒ ? = 5

9. 75% of 450 + 25% of 850 = ?
500
430
550
450
470
Option C
75% of 450 + 25% of 850 = ?
75% × 450 + 25% × 850 = ?
=> ? = 25/100[3 × 450 + 850] = 1/4  = 550

10. ? +2(1/3) + 5(1/6) – 7(8/11) = 3(3/11) + 8(1/2)
17
14
12
15
11
Option C
? +2(1/3) + 5(1/6) – 7(8/11) = 3(3/11) + 8(1/2)
=>? + 2 + (1/3) + 5 + 1/6 – 7 – 8/11 = 3 + 3/11 + 8 + 1/2
=>? = 11 + 3/11 + 8/11 + 1/2 – 1/3 – 1/6
=> 12 + (3 – 2 – 1)/ 6 = 12

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