Aptitude and Reasoning Questions

Q:

A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.

A) 26.34 litres B) 27.36 litres
C) 28 litres D) 29.16 litres
 
Answer & Explanation Answer: D) 29.16 litres

Explanation:

Amount of milk left after 3 operations

 

401-4403=40*910*910*910=29.16 litres

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Filed Under: Alligation or Mixture

65 19690
Q:

What is the probability of getting at least one six in a single throw of three unbiased dice?

A) 1/36 B) 91/256
C) 13/256 D) 43/256
 
Answer & Explanation Answer: B) 91/256

Explanation:

Find the number of cases in which none of the digits show a '6'.

i.e. all three dice show a number other than '6', 5×5×5=125 cases.

Total possible outcomes when three dice are thrown = 216.

The number of outcomes in which at least one die shows a '6' = Total possible outcomes when three dice are thrown - Number of outcomes in which none of them show '6'.

=216−125=91

The required probability = 91/256

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Filed Under: Probability

27 19659
Q:

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size? 

A) 6 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: B) 8

Explanation:

Side of smallest cube = L.C.M of 5, 10, 20 = 20cm  

Volume of the cube = (20 x 20 x 20)cu.cm = 8000 cu.cm  

Volume of the block= (5 x 10 x 20)cu.cm = 1000 cu.cm  

Number of blocks = (8000/1000) = 8

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

35 19646
Q:

What is the measure of an exterior angle of a regular polygon of 5 sides?

 

A) 72 B) 60
C) 45 D) 40
 
Answer & Explanation Answer: A) 72

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 19639
Q:

Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

A) 84 B) 64
C) 44 D) 22
 
Answer & Explanation Answer: A) 84

Explanation:

Let a = 13, b = 14 and c = 15. Then, s=12a+b+c=21

 (s- a) = 8, (s - b) = 7 and (s - c) = 6.


Area =ss-as-bs-c =21×8×7×6 = 84 sq.cm   

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

40 19639
Q:

Minimum number of straight lines required to form the below figure ?

                      21484547018.png image

A) 18 B) 17
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

The given figure can be labelled as shown :

       2-11484547091.png image

The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

27 19632
Q:

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A) 2.5π B) 3π
C) 5π D) 4π
 
Answer & Explanation Answer: C) 5π

Explanation:

Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle and is therefore, 5.

 

Circumference = π.diameter = 5π

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Filed Under: Area
Exam Prep: GRE

8 19632
Q:

Arrange the following words as per order in the dictionary

a. Guarantee b. Group c. Grotesque d. Guard e. Groan

A) a, c, e, b, d B) b, e, a, d, c
C) b, c, e, a, d D) e, c, b, a, d
 
Answer & Explanation Answer: D) e, c, b, a, d

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

1 19630