6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a + b + c = 13, $a^{2} + b^{2} + c^{2} = 69$ then find the ab + bc + ca :

A) 10	B) 30
C) 50	D) 70

Answer & Explanation Answer: C) 50

Explanation:

${(a + b + c)}^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)$

$2 (a b + b c + c a) = {(a + b + c)}^{2} - (a^{2} + b^{2} + c^{2}) = 169 - 69 = 100 = (a b + b c + c a) = 50$

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Filed Under: Simplification

53 31095

Q:

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

A) Rs.35	B) Rs.245
C) Rs.350	D) cannot be determined

Answer & Explanation Answer: D) cannot be determined

Explanation:

We need to know the S.I, principal and time to find the rate. Since the principal is not given, so data is inadequate.

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Filed Under: Simple Interest
Exam Prep: GRE

64 31050

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) Neurologist

(B) Dentist

(C) Architect

(D) Paediatrician

A) A	B) B
C) C	D) D

Answer & Explanation Answer: C) C

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 31049

Q:

Bhajan Singh purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie. If he wants to have a gain of 8 %, what must be the selling price per ream?

A) 90	B) 89
C) 87.48	D) 86

Answer & Explanation Answer: A) 90

Explanation:

Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72).
= Rs. (9600 + 280+48 + 72) = Rs, 10000.
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.

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Filed Under: Profit and Loss

58 31042

Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?

A) 215	B) 268
C) 254	D) 216

Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

27 31035

Q:

The reflex angle between the hands of a clock at 10.25 is

A) 197 1/2	B) 167 1/2
C) 157 1/2	D) 187 1/2

Answer & Explanation Answer: A) 197 1/2

Explanation:

Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = $312 \frac{1^{0}}{2}$

Angle traced by minute hand in 25 min = (360/60 * 25) = $150^{0}$

$\therefore$ Reflex angle = $360^{0} - {(312 \frac{1}{2} - 150)}^{0} = 360^{0} - 162 \frac{1^{0}}{2} = 197 \frac{1^{0}}{2}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

65 31032

Q:

Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?

A) 32.5 %	B) 43 %
C) 46.6 %	D) 53.2 %

Answer & Explanation Answer: A) 32.5 %

Explanation:

Number of males = 60% of 1000 = 600. Number of females = (1000 - 600) = 400.

Number of literates = 25% of 1000 = 250.

Number of literate males = 20% of 600 = 120.

Number of literate females = (250 - 120) = 130.

Required pecentage = (130/400 * 100 ) % = 32.5 %.

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Filed Under: Percentage

70 31030

Q:

A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: B) 7

Explanation:

Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.

or 137 + x = 144 or x = 144 - 137 = 7.

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Filed Under: Average

37 30922

Quantitative Aptitude - Arithmetic Ability Questions

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