6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
C) 35/12	D) 12/5

Answer & Explanation Answer: C) 35/12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 49170

Q:

Which of the following statement(s) is/are CORRECT?

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49137

Q:

Find the odd man out of the series given

8, 16, 20, 36, 68

A) 68	B) 36
C) 20	D) 16

Answer & Explanation Answer: D) 16

Explanation:

The given number series is 8, 16, 20, 36, 68

8

8 x 2 - 4 = 12 (NOT 16)

12 x 2 - 4 = 20

20 x 2 - 4 = 36

36 x 2 - 4 = 68

Hence, the odd man in the given series is 16.

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

16 49082

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

164 49059

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

64 49006

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

109 48742

Q:

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?

A) 25/7	B) 24/7
C) 24/25	D) 7/24

Answer & Explanation Answer: C) 24/25

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48713

Q:

$What is the value of (2 + \tan 60^{0}) ?$

A) 3	B) 2/√3
C) 4/√3	D) 2+√3

Quantitative Aptitude - Arithmetic Ability Questions

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