Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos4θ-sin4θ=13 then the value of tan2θ is

A) 1/2 B) 1/3
C) 1/4 D) 1/5
 
Answer & Explanation Answer: A) 1/2

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Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h B) 70 km/h
C) 75 km/h D) 80 km/h
 
Answer & Explanation Answer: C) 75 km/h

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Q:

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

A) 12 B) 6
C) 10 D) 8
 
Answer & Explanation Answer: A) 12

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

If in 2 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs 7000 in 3 years at the same rate?

A) 1865.2 B) 2065.2
C) 1965.2 D) 1765.2
 
Answer & Explanation Answer: B) 2065.2

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find the mean of marks of the students of three divisions of Class X.

A) 60.05 B) 59.35
C) 62.15 D) 60.75
 
Answer & Explanation Answer: D) 60.75

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If tanA + tanB = X, then the value of X is

A) (tanA - tanB)/(1 + tanAtanB) B) (tanA + tanB)/(1 - tanAtanB)
C) (tanA + tanB)/(1 + tanAtanB) D) (tanA - tanB)/(1 - tanAtanB)
 
Answer & Explanation Answer: B) (tanA + tanB)/(1 - tanAtanB)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Simplify 576b3x2a4z3/36a3b2z

A) 16bx2az2 B) 8bx2az2
C) 32ba2 z D) 32bxa2
 
Answer & Explanation Answer: A) 16bx2az2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of cos2A/(1 + sinA)?

A) 1 + sinA B) 1 ­- sinA
C) 1 -­ secA D) 1 + secA
 
Answer & Explanation Answer: B) 1 ­- sinA

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Filed Under: Simplification
Exam Prep: Bank Exams

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