Aptitude and Reasoning Questions

Q:

Which of the following statements is not true?

A) The difference of two prime numbers, both greater than 2, is divisible by 2 B) For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
C)  If a number is of the form 6n –1 (n being a natural number), then its is a prime number. D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.
 
Answer & Explanation Answer: D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

In the triangle ABC,∠BAC = 50° and the bisectors of ∠ABC and ∠ACB meets at P. What is the value (in degrees) of ∠BPC?

A) 100 B) 105
C) 115 D) 125
 
Answer & Explanation Answer: C) 115

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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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Q:

The ratio of the heights of Nani and Leelu is 4 : 3. If Leelu is 1.2 m tall, then what is the height of Nani?

A) 1.6 m B) 2 m
C) 0.9 m D) 1.8 m
 
Answer & Explanation Answer: A) 1.6 m

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm B) 9√3 sq cm
C) 18√2 sq cm D) 9√2 sq cm
 
Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is

A) 60 B) 45
C) 55 D) 50
 
Answer & Explanation Answer: D) 50

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1

A) 0.09 B) 0.03
C) 0.05 D) 0.04
 
Answer & Explanation Answer: D) 0.04

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?

 

A) 77 B) 58
C) 48 D) 23
 
Answer & Explanation Answer: D) 23

Explanation:

No of students failed in English only = 52 –17 = 35

No of students failed in maths only = 42 –17 = 25

Total no of failed students in either of the subjects = 35+17+25 = 77

No of passed student in both subjects = 100 –77 = 23

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