Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ?

A) Rs. 159 B) Rs. 96
C) Rs. 147 D) Rs. 105
 
Answer & Explanation Answer: D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
              = 20 : 9 : 6

Given L share is 27

=> 9  ------  27
      35 ------  ?

      => 105

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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11 10412
Q:

On 1st Jan, 2005 Saturday falls. What day of the week was it on 1st Jan, 2006?

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

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

17 10411
Q:

How many ways are there to select a subcommittee of 7 members from among a committee of 17?

A) 19000 B) 19448
C) 19821 D) 19340
 
Answer & Explanation Answer: B) 19448

Explanation:

Since it does not matter what order the committee members are chosen in, the combination formula is used.

 

Committees are always a combination unless the problem states that someone like a president has higher hierarchy over another person. If the committee is ordered, then it is a permutation.

 

C(17,7)= 19,448

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1 10406
Q:

There are 11 True or False questions. How many ways can these be answered ?

A) 11!/2 B) 1024
C) 11! D) 2048
 
Answer & Explanation Answer: D) 2048

Explanation:

Given 11 questions of type True or False

 

Then, Each of these questions can be answered in 2 ways (True or false)

 

Therefore, no. of ways of answering 11 questions = 211 = 2048 ways.

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Filed Under: Permutations and Combinations
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9 10404
Q:

Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?

A) Rs. 7500 B) Rs. 4520
C) Rs. 8750 D) Rs. 6350
 
Answer & Explanation Answer: A) Rs. 7500

Explanation:

Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3

B's share = 25000 x 3/10 = Rs. 7500.

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Filed Under: Partnership
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5 10392
Q:

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

A) 1700 B) 18!
C) 190 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

100C10 + 90C20 + 70C30 + 40C40 = 100!10!x20!x30!x40!

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Filed Under: Permutations and Combinations
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4 10388
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 10370
Q:

Which of the following are in descending order of their value?

A) 5/9, 7/11, 8/15, 11/17 B) 5/9, 8/15, 11/17, 7/11
C) 11/17 , 7/11, 8/15, 5/9 D) 11/17, 7/11, 5/9, 8/15
 
Answer & Explanation Answer: D) 11/17, 7/11, 5/9, 8/15

Explanation:

Converting each of the given fractions into decimal form, we get

 5/9 = 0.55, 7/11 = 0.63,  8/15 = 0.533, 11/17 = 0.647

Clearly, 0.647>0.63>0.55>0.533

so , 11/17 > 7/11 > 5/9 > 8/15

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Filed Under: Decimal Fractions

12 10369