Aptitude and Reasoning Questions

Q:

Tom's father is thrice as old as Tom. 10 years ago Tom's father's age was 7 times his age. What is Tom's current age? 

 

 

A) 17 years  B) 16 years 
C) 15 years  D) 14 years
 
Answer & Explanation Answer: D) 14 years

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik.

Question:
Who is the youngest ?

A) Veeru B) Karthik
C) Vishal D) Raghu
 
Answer & Explanation Answer: B) Karthik

Explanation:

Let Priyatham's age = x

Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4

So, the descending order of ages is :

Veeru > Vishal > Priyatham > Raghu > Karthik

Therefore,  Karthik is the youngest.

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Filed Under: Logical Sequence of Words
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Q:

Find the perimeter of the rectangle or square with the given dimensions s = 3 cm

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:

P=4s

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Filed Under: Area
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Q:

Find the perimeter and area of a square that has a side of length 14 feet.

A) 176 B) 186
C) 196 D) 206
 
Answer & Explanation Answer: C) 196

Explanation:

Perimeter of a square p=4s ,where s=length of its side 

=> p=4(14)=56 feets 

 

Area  of a square A = s x s

=> A=196


The perimeter is 56 feet, and the area is 196 square feet.

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Filed Under: Area
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Q:

A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?

A) (1/2)^11 B) (9)(1/2)
C) (11C2)(1/2)^9 D) (1/2)
 
Answer & Explanation Answer: A) (1/2)^11

Explanation:

Probability of occurrence of an event, 

P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S)


⇒ Probability of getting head in one coin = ½, 

⇒ Probability of not getting head in one coin = 1- ½ = ½, 

Hence, 

All the 11 tosses are independent of each other.

∴ Required probability of getting only 2 times heads =122×129=1211

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Filed Under: Probability
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Q:

The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ? 

A) 48 yrs B) 42 yrs
C) 40 yrs D) 36 yrs
 
Answer & Explanation Answer: D) 36 yrs

Explanation:

Let present ages of Sumit=w, Krishna=x, Rishabh=y and Rohit=z , then
w+x+y = 43x3 = 129 ---(i) and
w+y+z = 49x3 = 147 ---(ii)
Subtracting (i) from (ii), (w+y+z) - (w+x+y)=147 -129 , z- x =18 ---(iii)
Given Rohit's age => z = 54, so from (iii), x = 54-18 = 36

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Filed Under: Problems on Ages
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Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:

A) 4830 B) 5120
C) 6420 D) 8960
 
Answer & Explanation Answer: B) 5120

Explanation:

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Q:

Find the number of triangles in the given figure?

A) 18 B) 20
C) 24 D) 27
 
Answer & Explanation Answer: C) 24

Explanation:

The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number.

The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.

Total number of triangles in the figure = 8 + 10 + 6 = 24.

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Filed Under: Analytical Reasoning

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