Quantitative Aptitude - Arithmetic Ability Questions

Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29 B) 37
C) 42 D) 54
 
Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

 

Suppose 125 men had food for x days.

 

Now, Less men, More days (Indirect Proportion)

 

 125 : 150 :: 35 : x       125 x x = 150 x 35

 

 x=150×35125=42

 

 

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Filed Under: Chain Rule

16 10410
Q:

An amount doubles itself in 15 years. what is the rate of interest ?

A) 7.85 % B) 9.41%
C) 6.66 % D) 4.21 %
 
Answer & Explanation Answer: C) 6.66 %

Explanation:

Let the principle be Rs. P
As the amount double itself the interest is Rs. P too
So P = P x r x 15/100
=> r = 100/15 = 20/3 % = 6.66 %.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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5 10402
Q:

On 19th June, 1984 Monday falls. What day of the week was it on 19th June, 1985?

A) Sunday B) Monday
C) Tuesday D) Wednesday
 
Answer & Explanation Answer: C) Tuesday

Explanation:

The year 1985 is an ordinary year. So, it has 1 odd day.

So, the day on 19th June, 1985 will be 1 day after the day on 19th June, 1984.

But, 19th June,1984 is Monday

S0, 19th June, 1985 is Tuesday.

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Filed Under: Calendar

25 10400
Q:

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

A) 22 B) 36
C) 32 D) 26
 
Answer & Explanation Answer: B) 36

Explanation:

Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
54x3045 = 36.

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Filed Under: Average
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10 10399
Q:

The letters of the word CASTIGATION is arranged in different ways randomly. What is the chance that vowels occupy the even places ?

A) 0.04 B) 0.043
C) 0.047 D) 0.05
 
Answer & Explanation Answer: B) 0.043

Explanation:

 Vowels are A I A I O, 

 

 C    A   S    T   I    G   A    T   I    O   N

 

(O) (E) (O) (E) (O) (E) (O) (E) (O) (E) (O)

 

So there are 5 even places in which five vowels can be arranged and in rest of 6 places 6 constants can be arranged as follows :

 

n(E)=5P52!*2!(A,I are 2 times)*6P62!(T is 2 times)=21600

 

n(S)=11!2!*2!*2!(A, I are 2 times)=4989600

 

216004989600=0.043

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Filed Under: Probability
Exam Prep: GRE

7 10396
Q:

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

A) 25% B) 30%
C) 17% D) 19%
 
Answer & Explanation Answer: A) 25%

Explanation:

He has gain = 15 - 12 = 3,
Gain% = (3/12) x 100 = (100/4) = 25.
He has 25% gain.

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Filed Under: Alligation or Mixture
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17 10390
Q:

On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is

Answer

Divisor = 


           = 

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Subject: Numbers

34 10388
Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7 B) 4/7
C) 1/8 D) 3/4
 
Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14=4/7.

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Filed Under: Probability

6 10383