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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Rakesh goes on a trip on his motor­cycle and rides for 368 kms. If he rides for 5 hours at a speed of 49 km/hr, at what speed he travels for the remaining 3 hours of the journey?

A) 58 km/hr B) 41 km/hr
C) 54 km/hr D) 46 km/hr
 
Answer & Explanation Answer: B) 41 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be

A) 12.5 km/hr B) 13 km/hr
C) 15.5 km/hr D) 20 km/hr
 
Answer & Explanation Answer: A) 12.5 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

If 1-aa3+9 = 19 - a1-a3, then what is the value of a?

A) 3/10, 7/10 B) 1/10, 9/10
C) 2/5, 3/5 D) 1/5, 4/5
 
Answer & Explanation Answer: B) 1/10, 9/10

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A) 2√3 B) √3
C) 1/√3 D) Cannot be determined
 
Answer & Explanation Answer: B) √3

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

In the following question, select the odd word from the given alternatives.

A) Mobile B) Computer
C) Fountain Pen D) Television
 
Answer & Explanation Answer: C) Fountain Pen

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

∆DEF is right angled at E. If cosD = 5/13, then what is the value of tanF?

A) 5/13 B) 5/12
C) 13/5 D) 13/12
 
Answer & Explanation Answer: B) 5/12

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If (x/5) + (5/x) = – 2, then what is the value of x3?

A) –125 B) 5
C) 1/125 D) 625
 
Answer & Explanation Answer: A) –125

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Filed Under: Simplification
Exam Prep: Bank Exams

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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

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