Aptitude and Reasoning Questions

Q:

In the arrangement of letters and numbers given below , first all the numbers are arranged in the descending order and then all the letters are written in the alphabetical order. Then which letter / number will be fourth to the left of the 11th element from the left end in the new arrangement?

 

P N 3 W 9 Q 1 8 L K 4 6 B 7 

A) K B) 3
C) B D) 1
 
Answer & Explanation Answer: D) 1

Explanation:

New arrangement becomes as follows:

9 8 7 6 4 3 1 B K L N P Q W

4th to the left of 11th element from the left means (10 - 3 = ) 7th element from the left, i.e 1

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Filed Under: Alphabet Test

16 10031
Q:

If 35% of a number is 24 less than 50% of that number, then the number is ?

A) 80 B) 160
C) 100 D) 120
 
Answer & Explanation Answer: B) 160

Explanation:

Let the number be n. Then,

50% of n - 35% of n = 24

50/100 n - 35/100 n = 24

n = (24 x 100)/15 = 160.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 10026
Q:

A loan shark made a loan of $100 to be repaid with $120 at the end of one month. What was the annual interest rate?

A) 210% B) 220%
C) 230% D) 240%
 
Answer & Explanation Answer: D) 240%

Explanation:

r=I/PT

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

5 10026
Q:

A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.

A) 36 days  B) 44 days 
C) 50 days  D) 40 days 
 
Answer & Explanation Answer:

Explanation:

Ratio of efficiency of A to B is 3 : 2

Let, In 8 days they complete = (3 + 2) × 8 = 40 units

So, total work = 40 × 12/5 units

Time taken by B alone to complete whole work = 40 ×  12/5 ×2 = 48 days 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

5 10025
Q:

What is the value of 62 tens?

A) 6 B) 620
C) 62 D) 2
 
Answer & Explanation Answer: B) 620

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

 

Hence, the value of 62 tens = 620.

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Filed Under: Arithmetical Reasoning
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10 10018
Q:

A jogger is running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 kmph in the same direction. In how much time will the train  pass the jogger ?

A) 48 sec B) 36 sec
C) 18 sec D) 72 sec
 
Answer & Explanation Answer: B) 36 sec

Explanation:

Speed of the train relative to jogger = (45-9) km/hr = 36 km/hr =(36*5/18) m/sec  = 10 m/sec

Distance to be covered =(240 + 120)m = 360 m

 Time taken = 360/10 sec = 36 sec

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Filed Under: Problems on Trains

11 9998
Q:

A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ?

A) 9 and 3 kmph B) 6 and 7 kmph
C) 8 and 1 kmph D) 7 and 2 kmph
 
Answer & Explanation Answer: C) 8 and 1 kmph

Explanation:

Downstream speed = 72km/8hrs  = 9 kmph
upstream speed = 84km/12hrs = 7 kmph
speed of boat = avg of downstream and upstream speeds
speed of boat = (9+7)/2kmph = 8 kmph.
current speed = half of the difference of downstream and upstream speeds
currend speed = (9-7)/2kmph = 1 kmph

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Filed Under: Boats and Streams
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19 9989
Q:

In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ %  ?

A) 5.2 yrs B) 7 yrs
C) 7.9 yrs D) 6.3 yrs
 
Answer & Explanation Answer: D) 6.3 yrs

Explanation:

P = Rs. 900, R = 3 ½ % = 7/2 %, T = 2 years. 

Therefore, 

S.I. = PTR/100

S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63

Now, P = Rs. 200, S.I. = Rs. 63, R = 5 %

Time = ((100 x 63) / (200 x 5) ) years = 6.3 years.

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Filed Under: Simple Interest
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6 9986