Quantitative Aptitude - Arithmetic Ability Questions

Q:

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of (AB2 + AC2)?

A) 6√6 B) 4√6
C) 9√3 D) 8√3
 
Answer & Explanation Answer: A) 6√6

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Filed Under: Area
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:

A shopkeeper by selling 8 iphones, earns a profit equal to the selling price of 3 iphones. His profit percentage is

A) 60 percent B) 37.5 percent
C) 75 percent D) 15 percent
 
Answer & Explanation Answer: A) 60 percent

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 6 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: B) 9

Explanation:

Let the present ages of A & B to be ‘a’ & ‘b’ respectively.
Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
Average of their ages at that time = 26
Hence,
[(a-2)+(b-2)]/2 = 26
(a-2)+(b-2) = 52
a+b = 56
Age of A, 5 year hence = 40 years
Hence, (a+5) = 40
a = 35 years
Hence, b = 56 - 35 = 21 years
B = (C-5)
Hence, C = 21+5 = 26 years
Age difference between A & C = 35 - 26 = 9 years.

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

Mr. Murthy invested Rs. 16,000 in a scheme. How much will he get on matuirity, if he invested it at 20% per annum C.I. for 9 months, compounded quarterly?

A) Rs. 18523 B) Rs. 18521
C) Rs. 18524 D) Rs. 18522
 
Answer & Explanation Answer: D) Rs. 18522

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Q:

The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?

A) 56 B) 48
C) 36 D) 44
 
Answer & Explanation Answer: B) 48

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If x = 1 – y and x2 = 2  y2, then what is the value of xy?

A) 1 B) 2
C) -1/2 D) -1
 
Answer & Explanation Answer: C) -1/2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Bhanu takes a total of 6 hrs 50 min in walking a distance and running back to same place where she started. She could walk both ways in 8 hrs 30 min. The time taken by her to run both ways is :

A) 5 hrs 35 min B) 5 hrs 15 min
C) 5 hrs 10 min D) 5 hrs 45 min
 
Answer & Explanation Answer: C) 5 hrs 10 min

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