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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22 B) 44
C) 20 D) 40
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If 9 * 6 = 45, 7 * 4 = 33, and 6 * 4 = 20, then what is the value of 5 * 3?

A) 24 B) 16
C) 13 D) 10
 
Answer & Explanation Answer: A) 24

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the ratio of cost price and selling price is 4 : 5 ,then the percentage of profit will be

A) 20 B) 0.1
C) 10 D) 25
 
Answer & Explanation Answer: D) 25

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Sunil and Gopal are partners in a business. Sunil invests Rs.20,000 for 9 months and Gopal invests Rs. 30,000 for 12 months. Find the share of Sunil from the total profit of Rs. 60,000.

A) Rs.15000 B) Rs.18000
C) Rs.25000 D) Rs.20000
 
Answer & Explanation Answer: D) Rs.20000

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Filed Under: Partnership
Exam Prep: Bank Exams

2 3132
Q:

What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ?

A) 28450 B) 26340
C) 32640 D) 36450
 
Answer & Explanation Answer: C) 32640

Explanation:

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

 

The formula to find sum of all numbers in a permutation is

 

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

 

No of 1 s depends on number of digits

 

So,the answer us

 

111 x 20 x (0+1+2+3+4+5) = 33300

 

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

 

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

 

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

 

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

 

Hope u understood why we use 4. Each number can be formed in 4x1 ways

 

So, the final answer is 33300-660 = 32640

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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2 3129
Q:

Which of the following pair of numbers is the solution of the equation 3x+2+ 3–x= 10 ?

A) 0, 2   B) 0, -2
C) 1, -1 D) 1, 2
 
Answer & Explanation Answer: B) 0, -2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The value of 1+22+23+24+...+29 is

A) 255 B) 511
C) 1021 D) 2047
 
Answer & Explanation Answer: C) 1021

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT

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Q:

If it is possible to make a meaningful word with the first, the seventh, the ninth and the tenth letters of the word RECREATIONAL, using each letter only once, which of the following will be the third letter of the word? If more than one such word can be formed, give ‘X’ as the answer. If no such word can be formed, give ‘Z’ as the answer.

A) T B) X
C) N D) R
 
Answer & Explanation Answer: D) R

Explanation:

The first, the seventh, the ninth and the tenth letters of the word RECREATIONAL are R, T, O and N respectively. Meaningful word from these letters is only TORN. The third letter of the word is ‘R’.

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Filed Under: Permutations and Combinations

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