Aptitude and Reasoning Questions

Q:

A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively?

A) 3:7 B) 7:9
C) 5:4 D) 8:3
 
Answer & Explanation Answer: D) 8:3

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

x x 8 4 = (y x 4)
5
44 x =4y
5
 y = 11 x.
5
 Required ratio = y + x : y - x
2 2
   = 16x x 1 : 6x x 1
5 2 5 2
   = 8 : 3
5 5

   = 8 : 3.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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16 3520
Q:

What lump sum deposited today would allow payments of $2000/year for 7 years at 5% compounded annually?

A) 11572.71 B) 11876
C) 189756 D) 11576
 
Answer & Explanation Answer: A) 11572.71

Explanation:

 

 

A=R[(1+i)^n-1]/i(1+i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3520
Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5 B) 9, 3
C) 8, 4 D) 6, 6
 
Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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

16 3519
Q:

Choose the mirror image for the following figure when the mirror is kept at the MN line.

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

Explanation:
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Filed Under: Image Analysis

3 3517
Q:

64/12 in simplest form?

A) 19/6 B) 32/4
C) 16/3 D) None of the above
 
Answer & Explanation Answer: C) 16/3

Explanation:

64/12 = 16/3 in simplest form.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 3516
Q:

2/3 as a decimal

A) 0.47 B) 6.77
C) 0.67 D) 0.07
 
Answer & Explanation Answer: C) 0.67

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

÷ 0 bring down the decimal point.

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

 

Hence, decimal fraction of 2/3 = 0.67.

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 3515
Q:

The ages of Sunil and Anil are in the ratio 8:7, after 6 years, the ratio of their ages will be 19 : 17. What is the difference in their present ages?

A) 10 years B) 6 years
C) 8 years D) 4 years
 
Answer & Explanation Answer: D) 4 years

Explanation:

suppose the ages of Sunil and Anil are 8x yr and 7x yr, respectively.
After 6 yr, = 136x + 102 = 133x + 114
136x – 133x = 114 – 102
3x = 12 X = 12/3 = 4
Age of Sunil = 8x = 8 × 4 = 32 yr
Present age Anil = 7x = 7 × 4 = 28 yr
Required difference = (32 – 28) = 4 yr

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

3 3513
Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

42 44 38
23 55 28
37 ? 39

A) 22 B) 33
C) 66 D) 77
 
Answer & Explanation Answer: A) 22

Explanation:

 

In the first row, (42 - 38) x 11 = 44.
In the second row, (28 - 23) x 11 = 55.
.'. In the third row, missing number = (39 - 37) x 11 = 2 x 11 = 22.

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58 3513