Aptitude and Reasoning Questions

Q:

X and Y undertook to do a piece of work for Rs 5400. X alone could do this work in 18 days and Y alone could do this work in 24 days. With the assistance of Z they finished the work in 8 days. What is the share (in Rs) of Z?

 

A) 1200 B) 1500
C) 1600 D) 1800
 
Answer & Explanation Answer: A) 1200

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

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A, B and C are three points on a circle with centre O. The tangent at C meets BA produced at T. If ∠ATC = 30° and ∠ACT = 48°,then what is the value of ∠AOB ?

A) 78° B) 96°
C) 102° D) 108°
 
Answer & Explanation Answer: D) 108°

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

4 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

A) 48 km/hr B) 57.6 km/hr
C) 72 km/hr D) 38.4 km/hr
 
Answer & Explanation Answer: A) 48 km/hr

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 6√3 sq cm, what is the area of the equilateral triangle?

A) 9√3 sq cm B) 9 sq cm
C) 9√2 sq cm D) 12 sq cm
 
Answer & Explanation Answer: B) 9 sq cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

A) 90° B) 30°
C) 60° D) 120°
 
Answer & Explanation Answer: A) 90°

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

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

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Filed Under: Cubes and Dice
Exam Prep: Bank Exams

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Q:

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.

160 + 8 x 30 ÷ 4 - 6 = ?

A) 42 B) 14
C) 5 D) 17
 
Answer & Explanation Answer: B) 14

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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