Quantitative Aptitude - Arithmetic Ability Questions

Q:

Choose the most appropriate answer:A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 Km/h and the speed of the current is 3 Km/h, the distance between A and B is

A) 9 km B) 10 km
C) 11 km D) 12 km
 
Answer & Explanation Answer: D) 12 km

Explanation:

Speed of boat in still water = 9 km/hr

Speed of current = 3km/hr

Downstream speed = 9+3 = 12 km/hr

Upstream speed = 9-3 =6 km/hr

Let the distance between A to B be x km.

x/6 + x/12 = 3x + 2x = 36
3x = 36
x = 12 km

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

A) 5 days B) 6 days
C) 10 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

In the first 38 overs of a cricket match, the run rate was 4.5 runs/over. Calculate the required run rate in the remaining 12 overs to reach the target of 288 runs?

A) 10.35 B) 10.95
C) 9.75 D) 9.15
 
Answer & Explanation Answer: C) 9.75

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

On dividing 8a2b2c2 by 4a2, we get

A) 2b2 B) 2c2
C) 2b2c2 D) 2
 
Answer & Explanation Answer: C) 2b2c2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the slope of the line, perpendicular to the line 3x - 6y = 4?

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

A) 45 B) 35
C) 55 D) 65
 
Answer & Explanation Answer: C) 55

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

A) 9/14 B) 14/9
C) -9/14 D) -14/9
 
Answer & Explanation Answer: C) -9/14

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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