Quantitative Aptitude - Arithmetic Ability Questions

Q:

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

A) 15 hours B) 13 hours
C) 16 hours D) 12 hours
 
Answer & Explanation Answer: A) 15 hours

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams , CAT

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Q:

What is the value of tan 7π/4?

A) √3 B) -1/2
C) √3/2 D) -1
 
Answer & Explanation Answer: D) -1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is

A) Rs. 2000 B) Rs. 4000
C) Rs. 6000 D) Rs. 8000
 
Answer & Explanation Answer: D) Rs. 8000

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Filed Under: Compound Interest
Exam Prep: Bank Exams , CAT

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Q:

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

A) √51 : √68 B) √33 : √17
C) √66 : √51 D) √28 : √17
 
Answer & Explanation Answer: B) √33 : √17

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

When a number is increased by 42, it becomes 121% of itself. What is the number?

A) 504 B) 200
C) 630 D) 378
 
Answer & Explanation Answer: B) 200

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Out of two numbers, 30% of the smaller number is equal to 18% of the larger number. If the sum of the two numbers is 840, then what is the value of the larger number?

 

A) 545 B) 507
C) 515 D) 525
 
Answer & Explanation Answer: D) 525

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

A) 35/3 B) 37/3
C) – 105/11 D) – 105/13
 
Answer & Explanation Answer: C) – 105/11

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Filed Under: Simplification
Exam Prep: Bank Exams

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