Aptitude SimplificationPage 1
1. | Simplify: 5005 - 5000 ÷ 10 | (a)4505 | (b)4605 | (c)4705 | (d)4805 |
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Answer is: ALet, 5005 – 5000/10 = 5005 – 500 = 4505
2. | Simplify: 343 ÷ 49 ÷ 7 ÷ 7 | (a)1/12 | (b)1/13 | (c)1/7 | (d)1/9 |
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Answer is: CLet , 343 x 1/49 x 1/7 x 1/7 = 1/7
3. | The value of 1001 ÷ 11 of 13 is : | (a)8 | (b)5 | (c)6 | (d)7 |
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Answer is: D⇒ 1001 ÷ 11 x 13
⇒ 1001/(11 x 13) = 7.
4. | The value of 25 – 5 [2 + 3 {2 – 2 (5 – 3) + 5} – 10] ÷ 4 is: | (a)22.25 | (b)23.75 | (c)23.25 | (d)22.75 |
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Answer is: B⇒ 25 – 5 [2 + 3 {2 – 2 (5 – 3) + 5} – 10] ÷ 4
⇒ 25 – 5 [2 + 3 {2 – 2 x 2 + 5} – 10] ÷ 4
⇒ 25 – 5 [2 + 3 {2 – 4 + 5} – 10] ÷ 4
⇒ 25 – 5 [2 + 3 {3} – 10] ÷ 4 = 25 – 5 [2 + 9 – 10] ÷ 4
⇒ 25 – 5 ÷ 4
⇒ 25 – 1.25 = 23.75
5. | What mathematical operation should come at the place of ‘?’ in the equation:
2 ? 6 – 12 ÷ 4 + 2 = 11
| (a)+ | (b)- | (c)/ | (d)x |
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Answer is: D ⇒ 2 ? 6 – 12 ÷ 4 + 2 = 11
⇒ 2 X 6 – 12 ÷ 4 + 2 = 11
⇒ 2 X 6 – 3 + 2 = 11 = 2 X 6 = 11 +3 -2
⇒ 2 X 6 = 12
So, in place of X, we apply x(multiply)
6. | The value of [(6 + 6 + 6 + 6) ÷ 6]/(4 + 4 + 4 + 4 ÷ 4) is equal to ? | (a)13/4 | (b)4/13 | (c)9/4 | (d)4/9 |
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Answer is: B⇒ (24 ÷ 6)/(4 + 4 + 4 + 1) = 4/13
7. | Evaluate: [8 - {5 - ( - 3 + 2)} ÷ 2]/[(5 - 3) - (6 - 3) ÷3] | (a)3 | (b)4 | (c)5 | (d)6 |
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Answer is: C⇒ [8 - {5 - ( - 3 + 2)} ÷ 2]/[(5 - 3) - (6 - 3) ÷3] = [8 - {5 - (-1)} ÷2]/[2 - 3 ÷3]
⇒ (8 - 6 ÷ 2)/( 2 - 1) = 8 – 3 = 5
8. | If 1/3 + 1/2 + 1/X = 4, then X = ? | (a)6 / 19 | (b)19 / 6 | (c)5 / 19 | (d)19 / 5 |
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Answer is: A1/3 + 1/2 + 1/X = 4
⇒ 1/X = 4 - 1/3 - 1/2
⇒ 1/X = (24 - 2 - 3)/6 = 19/6
⇒ X = 6/19
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