Aptitude and Reasoning Questions

Q:

In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?

A) 85 B) 60
C) 55 D) 45
 
Answer & Explanation Answer: B) 60

Explanation:

Let M litres milk be added


=> 60 + M40 = 31


=> 60 + M = 120


=> M = 60 lit.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
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15 6127
Q:

28 Men and 52 women working together completes a work in 22.5 days. 35 men and 65 women working together on same work will complete it in how many days?

A) 16 B) 18
C) 19 D) 21
 
Answer & Explanation Answer: B) 18

Explanation:

Clearly total persons are increased in  28/35 :: 52/65 = 4:5.

As time is inversely proportional to men, so total time will decrease in the ratio 5:4.

Hence, 22.5 x 4/5 = 18 days.

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

10 6122
Q:

What is the next letter in the given series
M N J Q G ?

A) U B) S
C) T D) H
 
Answer & Explanation Answer: C) T

Explanation:

1ST SERIES = M J G... It decreasing by 3 alphabets.
2ND SERIES = N Q... It increasing by 3 alphabets.

M N J Q G T...

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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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5 6122
Q:

The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ?

A) Rs. 6000 B) Rs. 5550
C) Rs. 7500 D) Rs. 6580
 
Answer & Explanation Answer: A) Rs. 6000

Explanation:

Let the sum invested be Rs. P

Let the rate of interest be R% per annum

=> Interest earned for 5 years = (P x 5 x R/100) = PR/20

Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)%

=> SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100

Hence,

PR/20 + 10P/100 = PR/20 + 600

=> P = 6000

Therefore, the sum invested is Rs. 6000

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Filed Under: Simple Interest
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13 6116
Q:

Two dice are rolled simultaneously. Find the probability of getting a total of 9.

A) 1/3 B) 1/9
C) 8/9 D) 9/10
 
Answer & Explanation Answer: B) 1/9

Explanation:

S = { (1, 1), (1, 2), (1, 3), (1, 4),(1, 5), (1, 6), (2, 1), (2, 2),.........(6, 5), (6, 6) }

=> n(S) = 6 x 6 = 36

E = {(6, 3), (5, 4), (4, 5), (3, 6) }

=> n(E) = 4

Therefore, P(E) = 4/36 = 1/9

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Filed Under: Probability

8 6115
Q:

A certain sum is to be divided between A and B so that after 5 years the amount received by A is equal to the amount received by B after 7 years. The rate of interest is 10%, interest compounded annually. Find the ratio of amounts invested by them.

please solve this

Answer

Let the sum(principal) received by A and B are x and y.


(1+r) =  =


Then,  =


Hence, the ratio in which the sum is divided =121:100

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Subject: Compound Interest Exam Prep: Bank Exams

26 6113
Q:

The present of Rs.169 due in 2years at 4% per annum compound interest is

A) Rs.150.50 B) Rs.154.75
C) Rs.156.25 D) Rs.158
 
Answer & Explanation Answer: C) Rs.156.25

Explanation:

Present worth = 169/(1+4/100)^n = 156.25

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Analyst

4 6111
Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119days, in how many days will Q alone do the same work  ?

A) 24 days B) 25 days
C) 20 days D) 19 days
 
Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

 

=> 1L + 1L-5 = 9100

 

=> 9L2-245L+500=0

 

L = 25 days.

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

11 6106