Aptitude and Reasoning Questions

Q:

The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number ?

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

Explanation:

Let the ten's digit be x and unit's digit be y. Then, (10x + y) - (x + y) = 9 or x = 1.

From this data we cannot find  y, the unit's digit. So the data is inadequate..

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Filed Under: Problems on Numbers

3 8052
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.

1 7 9
2 14 ?
3 105 117

A) 26 B) 20
C) 16 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

 

 

In the first column, 2 x 1 + 1 = 3.
In the second column, 14 x 7 + 7 = 105.
Let the missing number in the third column be y.
Then, y x 9 + 9 = 117 or  9y = 108  or  y = 12.

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225 8045
Q:

Find the missing number in series 1 4 27

A) 125 B) 625
C) 404 D) 256
 
Answer & Explanation Answer: D) 256

Explanation:

It follows the rule that

 

1

 

2x2  

 

3x3x3  

 

4x4x4x4  

 

5x5x5x5x5 

 

So the missing number is 4x4x4x4 = 256.

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Filed Under: Number Series
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

21 8043
Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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

7 8041
Q:

The area of a square is 49 mm. What is the length of each side?

A) 5mm B) 6mm
C) 7mm D) 8mm
 
Answer & Explanation Answer: C) 7mm

Explanation:

A=S2

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

1 8040
Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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

6 8039
Q:

P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ?

A) 99 B) 100
C) 89 D) 1
 
Answer & Explanation Answer: A) 99

Explanation:

Let, Distance between A and B = d

 

Distance travelled by P while it meets Q = d + 11

 

Distance travelled by Q while it meets P = d – 11

 

Distance travelled by Q while it meets R = d + 9

 

Distance travelled by R while it meets Q = d – 9

 

Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11

 

The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9

 

But given Ratio of speeds of P & R => P : R = 3 : 2

 SPSR = SPSQxSQSR = d+11d+9d-11d-9

 

=> d+11d+9d-11d-9 = 3/2

 

=>  d = 1, 99

 

=> d = 99 satisfies.

 

Therefore, Distance between A and B = 99

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

16 8037
Q:

934+7217-9115=?

A) 7 + 719/1020 B) 9 + 817/1020
C) 9 + 719/1020 D) 7 + 817/1020
 
Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

given sum =9+34+7+217-9+115

 

9+7+9+34+217-115

 

=> 7+765+120-681020=>7+8171020 

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Filed Under: Numbers

4 8031