Aptitude and Reasoning Questions

Q:

Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ?

A) 11.8 B) 12.9
C) 13.7 D) 14.5
 
Answer & Explanation Answer: D) 14.5

Explanation:

Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.
k/l = 5/x ------ (1)
k = m - 18 ------ (2)
m + 9 = 47 ------ (3)
k - l = m ----- (4)
(3) => m = 47 - 9 = 38 years
(2) => k = 38 -18 = 20 years
(1) => 20/l = 5/x => l = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

27 17831
Q:

An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

A) 1:2 B) 1:3
C) 2:3 D) 3^(1/2) :2
 
Answer & Explanation Answer: D) 3^(1/2) :2

Explanation:

area of a square = a² sq cm

 

length of the diagonal = 2a cm

 

area of equilateral triangle with side  2a= 34*2a2
required ratio = 34*2a2:a2=3:2

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

14 17827
Q:

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

A) Rs.2010 B) Rs.2200
C) Rs.2000 D) Rs.2100
 
Answer & Explanation Answer: C) Rs.2000

Explanation:

Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

12 17824
Q:

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A) 564 B) 735
C) 756 D) 657
 
Answer & Explanation Answer: C) 756

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only). 

 

Required number of ways= 7C3*6C2+7C4*6C1+7C5 = 756.

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11 17823
Q:

A, B and C can complete a piece of work in 24,6 and 12 days respectively.Working together, they will complete the same work in:

A) 1/24 days B) 7/24 days
C) 24/7 days D) 4 days
 
Answer & Explanation Answer: C) 24/7 days

Explanation:

(A+B+C)'s 1 day's work = (1/24 + 1/6 + 1/12) = 7/24

so, A,B and C together will complete the work in 24/7 days.

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Filed Under: Time and Work

32 17814
Q:

If a mirror is placed on the line MN, then which figure is the right image?

   

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

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

0 17804
Q:

Identify the figure that completes the pattern.

     (X)                 (1)             (2)              (3)             (4)

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

Explanation:

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Filed Under: Pattern Completion

26 17802
Q:

At what time did Sonali leave her home for office?  

I. Sonali received a phone call at 9:15  a.m. at her home. 

II. Sonali's car reached office at 10:15 a.m.  45 minutes after she left her residence. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

From statement II, we conclude that Sonali left her home 45 minutes before 10.15 a.m.  i.e, 9.30 a.m.

Thus, only Ills needed 

 

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Filed Under: Data Sufficiency

3 17790