Aptitude and Reasoning Questions

Q:

Consider the following grouped frequency distribution:

  x           f

0-10       8

10-20     12

20-30     10

30-40      p

40-50      9

 

If the mean of the above data is 25.2, then what is the value of p?

 

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:
Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2
(875 + 35P)/(39+P) = 25.2
P = 11
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Filed Under: Average
Exam Prep: Bank Exams

0 29675
Q:

In the following question, select the related number from the given alternatives.

 

52 : 57 : : 46 : ?

 

A) 53   B) 49  
C) 55   D) 51
 
Answer & Explanation Answer: D) 51

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 29668
Q:

A man went downstream for 28 km in a motor boat and immediately returned. It took the man twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.

A) 12 km/hr, 3 km/hr B) 9 km/hr, 3 km/hr
C) 8 km/hr, 2 km/hr D) 9 km/hr, 6 km/hr
 
Answer & Explanation Answer: B) 9 km/hr, 3 km/hr

Explanation:

Let the speed of the boat = p kmph

Let the speed of the river flow = q kmph

From the given data,

2 x 28p + q = 28p - q

 

=> 56p - 56q -28p - 28q = 0

=> 28p = 84q

=> p = 3q.

Now, given that if

283q + 2q + 283q - 2q = 67260=> 285q + 28q = 67260=> q = 3 kmph=> x  =3q = 9 kmph

 

Hence, the speed of the boat = p kmph = 9 kmph and the speed of the river flow = q kmph = 3 kmph.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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80 29650
Q:

In which year was Rahul born ? 

I. Rahul at present is 25 years younger to his mother. 

II. Rahul's brother, who was born in 1964, is 35 years younger to his mother. 

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 in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the given statements, we find that Rahul is (35 - 25) = 10 years older than his brother,

who was born in 1964, So. Rahul was horn in 1954

Thus, both the given statements are needed to answer the query. 

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Filed Under: Data Sufficiency

27 29635
Q:

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

A) 2 : 3 : 5 B) 3 : 4 : 7
C) 5 : 6 : 4 D) 1 : 3 : 5
 
Answer & Explanation Answer: B) 3 : 4 : 7

Explanation:

A : B : C  = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336

= 3 : 4 : 7.

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Filed Under: Partnership

29 29623
Q:

The surface area of a cube is 1734 sq. cm. Find its volume

A) 2334 cubic.cm B) 3356 cubic.cm
C) 4913 cubic.cm D) 3478 cubic.cm
 
Answer & Explanation Answer: C) 4913 cubic.cm

Explanation:

Let the edge of the cube bea. Then, 

 6a2 = 1734 

 => a = 17 cm.

  Volume =  a3 = 173 = 4193 cu.cm

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56 29613
Q:

Select the figure which does NOT belong to the group.

 

 

A) C B) B
C) A D) D
 
Answer & Explanation Answer: C) A

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 29609
Q:

Refer the below data table and answer the following question.

What was the Revenue of the company if its Expenditure was Rs. 575 crore in the year when its % profit was the least?

 

A) 632.5 B) 603.75
C) 661.25 D) 575
 
Answer & Explanation Answer: B) 603.75

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

1 29604