Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cot(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 -­ cosA)] B) cosecA -­ cotA
C) √[(1 -­ cosA)/2] D) √[(1 + cosA)/2]
 
Answer & Explanation Answer: A) √[(1 + cosA)/(1 -­ cosA)]

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

√(3099.985 ÷ 62.001 + 14.001) = ?

A) 8 B) 13
C) 18 D) 23
 
Answer & Explanation Answer: A) 8

Explanation:

Ans. 
√(3100 ÷ 62 + 14) = ?
√(50 + 14) = ?
√64 = ?
? = 8

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

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Q:

If a - b = 2 and ab = 24, then what is the value of a3- b3?

A) 280 B) 124
C) 140 D) 152
 
Answer & Explanation Answer: D) 152

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Q:

(251+252+253+254+255) is divided by

A) 23 B) 58
C) 124 D) 127
 
Answer & Explanation Answer: C) 124

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Q:

The average revenues of 11 consecutive years of a company is Rs 69 lakhs. If the average of first 6 years is Rs 64 lakhs and that of last 6 years is Rs 76 lakhs, what is the revenue for the 6th year?

A) Rs 83 lakhs B) Rs 79 lakhs
C) Rs 77 lakhs D) Rs 81 lakhs
 
Answer & Explanation Answer: D) Rs 81 lakhs

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If a person has sold an article for Rs. 1300 and made a profit of 30%, find the cost price of the article.

A) Rs. 1000 B) Rs. 1200
C) Rs. 1250 D) Rs. 1100
 
Answer & Explanation Answer: A) Rs. 1000

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

A) 3/4 B) 4/3
C) 5/4 D) 4/5
 
Answer & Explanation Answer: A) 3/4

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

If a - b = -5 and a2+b2=73, then find ab.

A) 35 B) 14
C) 50 D) 24
 
Answer & Explanation Answer: D) 24

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