Quantitative Aptitude Quiz – 55(Simplification)

Dear Aspirants,

Welcome to D2G’s Quantitative Aptitude Quiz on Simplification.

Directions (1-5) : find out the approximate value which should replace the question mark (?) in the following questions. (you are not expected to find out the exact value)

1. 95^3.7 ÷ 95^0.9989 = 95^?
(a) 1.9 (b) 3 (c) 2.99 (d) 3.6 (e) 2.7

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ANS: 95^? = 95^3.7 ÷ 95^1.0
=> 95^? = 95^3.7 – 1 = 95^2.7
=> = 2.7

2. image00133
(a) 2500 (b) 1230 (c) 1640 (d) 1525 (e) 2130

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ANS: ? = √10000 + 3/5 × 1892
= 100 + 1135.2
= 1235.2
= 1230

3. 0.0004 ÷ 0.0001 × 36.000009 = ?
(a) 0.10 (b) 1.45 (c) 145 (d) 14.5 (e) 1450

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ANS: image00331
= 144 ≈ 145

4. 137% of 12345 = ?
(a) 17000 (b) 15000 (c) 1500 (d) 14300 (e) 900

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ANS: ? 140 % of 12300
=image00531

5. 3739 + 164 × 27 = ?
(a) 105400 (b) 4000 (c) 8200 (d) 690 (e) 6300

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ANS:≈ 3739 + 160 × 30
= 3739 + 4800 = 8539 ≈ 8200

Directions (6-10): What approximate value will come in place of the question mark (?) in the following equations?

6. 447.75 ÷ 28 × 4.99 = ?
(a) 60 (b) 70 (c) 72 (d) 80 (e) 75

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ANS: Taking approximate integral value we have,
? ≈ 448 ÷ 28 × 5 ≈ (448/28) × 5 ≈ 80

7. (3.5)2 × 19.25 + ? = 275
(a) 15 (b) 20 (c) 30 (d) 28 (e) 40

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ANS:(3.5)2 + 19.25 + ? = 275
=> 12.25 × 20 + ? = 275
=> ≈ 275 – 245 = 30

8. 85% of 225+ 32.91 × 5.01= ?
(a) 340 (b) 355 (c) 375 (d) 345 (e) 370

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ANS: ? = 85 % of 225 + 32.91 × 5.01
≈ 85 % of 225 + 33 × 5
image00731
≈ 191.25 + 165
≈ 356.25 ≈ 355

9. (15.96)2 + 75 % of 285=?
(a) 435 (b) 485 (c) 440 (d) 420 (e) 470

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ANS: ? = (15.96)2 + 75 % of 285
≈ (16)2 +image00929
≈ 256 + 213.75 ≈ 469.75 ≈ 470

10. 1679 ÷ 14.95 × 5.02 = ?
(a) 540 (b) 525 (c) 545 (d) 565 (e) 520

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ANS:? = 1697 ÷ 14.95 × 5.02
≈ 1680 ÷ 15 × 5

image01128

Happy Reading!!