Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 35% of A is equal to 60% of B, then what is the ratio of A and B?

A) 8 : 13 B) 12 : 7
C) 2 : 3 D) 13 : 7
 
Answer & Explanation Answer: B) 12 : 7

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

ΔABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?

A) 6 B) 18
C) 21 D) 12
 
Answer & Explanation Answer: D) 12

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Filed Under: Area
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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1828
Q:

Reflection of the point (-3,6) in the x-axis is

A) (3,6) B) (6,-3)
C) (-3,-6) D) (-6,3)
 
Answer & Explanation Answer: C) (-3,-6)

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Filed Under: Simplification
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Q:

If (sec2A ­ 1) = x, then the value of x is

A) cotA B) tanA
C) cosecA D) cosA
 
Answer & Explanation Answer: B) tanA

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Filed Under: Simplification
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Q:

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?

A) 50 B) 5
C) 25 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

What is the rate of interest if simple interest earned on a certain sum for the 3rd year is Rs 1,750 and compound interest earned for 2 years is Rs 3622.5?

A) 8 B) 9
C) 10 D) 7
 
Answer & Explanation Answer: D) 7

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

What is the value of (1/√3 + sin45 ) ?

A) √3+2 B) (√2+√3)/√6
C) (1+√6)/√3 D) (4+√3)/2
 
Answer & Explanation Answer: B) (√2+√3)/√6

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Filed Under: Simplification
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