6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

A) 87/425	B) 304/425
C) 297/425	D) 416/425

Answer & Explanation Answer: A) 87/425

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48453

Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h	B) 160 km/h
C) 67.5 km/h	D) None of these

Answer & Explanation Answer: B) 160 km/h

Explanation:

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$\Rightarrow \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$\Rightarrow$ $s_{2} = 160 k m / h$

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Filed Under: Time and Distance

163 48441

Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11	B) 803
C) 80	D) 291

Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

$3 3 + 2^{3} = 3 + 8 = 11 11 + 4^{3} = 11 + 64 = 75 (not 80) 75 + 6^{3} = 75 + 216 = 291 291 + 8^{3} = 291 + 512 = 803$

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

3 48439

Q:

Find the odd one out of the floowing number series?

270, 261, 279, 252, 289, 243

A) 270	B) 279
C) 289	D) 243

Answer & Explanation Answer: C) 289

Explanation:

Here the given number series is 270, 261, 279, 252, 289, 243

270 - 9 = 261

261 + 18 = 279

279 - 27 = 252

252 + 36 = 288 (not equals to 289)

288 - 45 = 243

Hence, the odd number in the given number series is 289.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

5 48405

Q:

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

A) Rs. 19.50	B) Rs. 19
C) Rs. 18	D) Rs. 18.50

Answer & Explanation Answer: C) Rs. 18

Explanation:

Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :

Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice

$∴$ (20-x)/(x-15) = 2/3

$\Rightarrow$ 60 - 3x = 2x - 30

$\Rightarrow$ x = 18.

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Filed Under: Alligation or Mixture

108 48341

Q:

Direction: What will come in place of the question mark (?) in the following question?

504÷42x7-63+28 = ?

A) 72	B) 48
C) 62	D) 38

Answer & Explanation Answer:

Explanation:

504/42 × 7 - 63 + 28 = 84 – 63 + 28 = 49

Hence option 5 is correct.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 48266

Q:

Odd man out of the series

90 72 56 42 36 20

A) 20	B) 36
C) 42	D) 56

Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36)

4 x 5 = 20

Hence, the odd man in the given number series is 36.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

8 48237

Q:

Solve the following

24/(19 - 9 / 3 x 9) = ?

A) -3	B) -4
C) 3	D) 6

Quantitative Aptitude - Arithmetic Ability Questions

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