6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of (sin45 - √3) ?

A) (1-√6)/√2	B) (4-√3)/2√3
C) -1/2√3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (1-√6)/√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 43348

Q:

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at $6 \frac{1}{4}$ p.a for 2 years. Find his gain in the transaction per year

A) Rs. 112.50	B) Rs.150.25
C) Rs.167.50	D) Rs.170

Answer & Explanation Answer: A) Rs. 112.50

Explanation:

$g a i n i n 2 y e a r s = R s . [(5000 * \frac{25}{4} * \frac{2}{100}) - (\frac{5000 * 4 * 2}{100})]$

= Rs. (625 - 400)

= Rs. 225

$g a i n i n 1 y e a r = R s . (\frac{225}{2}) = 112.50$

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

121 43336

Q:

If $x^{2} + kx + k = 0$ , has two distinct real solutions, then the value of k will satisfy

A) k<0 or k>4	B) k>4 only
C) 0<k<4	D) k<0 only

Answer & Explanation Answer: A) k<0 or k>4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 43276

Q:

Find the wrong number in the given number series?

10, 21, 54, 109, 189

A) 189	B) 109
C) 54	D) 21

Answer & Explanation Answer: A) 189

Explanation:

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

Hence the wrong number in the given number series is 189.

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

5 43251

Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A) 4050	B) 3600
C) 1200	D) 5040

Answer & Explanation Answer: D) 5040

Explanation:

'LOGARITHMS' contains 10 different letters.

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.

= $10 P_{4}$

= 5040.

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Filed Under: Permutations and Combinations

43 43249

Q:

If ${(x - 7)}^{2} + {(y + 10)}^{2} + {(z - 6)}^{2} = 0$ , then find the value of x + y + z.

A) 1	B) 3
C) 5	D) 7

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 43224

Q:

Find out the wrong number in the following series:

5, 15, 30, 80, 180, 540, 1080

A) 540	B) 180
C) 30	D) 80

Answer & Explanation Answer: D) 80

Explanation:

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

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

6 43102

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph	B) 25 kmph
C) 30 kmph	D) 50 kmph

Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

49 43087

Quantitative Aptitude - Arithmetic Ability Questions

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