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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If a+b+c = 6 and ab+bc+ca = 1, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is

A) 33 B) 66
C) 55 D) 23
 
Answer & Explanation Answer: B) 66

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?

A) 12 B) 13
C) 15 D) 16
 
Answer & Explanation Answer: A) 12

Explanation:

Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.

The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12

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

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Q:

Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?

A) 29850 B) 30120
C) 31350 D) 37250
 
Answer & Explanation Answer: C) 31350

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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?

A) Wednesday B) Thursday
C) Tuesday D) Friday
 
Answer & Explanation Answer: D) Friday

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

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Q:

How many numbers with distinct digits are possible product of whose digits is 18?

A) 12 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:

Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.

Three-digit numbers: The three digits can be 1, 2 and 9 => 3! Or 6 possibilities.

We cannot have three digits as (3, 3, 2) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

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Q:

A person divided a sum of Rs. 17,200 into three parts and invested at 5%. 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9%?

 

A) Rs. 3,200 B) Rs. 4,000
C) Rs. 4,800 D) Rs. 5000
 
Answer & Explanation Answer: B) Rs. 4,000

Explanation:
Let sum invested @ 5% be P1, @ 6% be P2 then @ 9% =17200-(P1+P2)
So according to question
P1*5*2/100 = P2*6*2/100 or P1 = (6/5) P2
Also P2*6*2/100 = [17200-(P1+P2)]*9*2/100
Or 2 P2 = [17200–(11/5)P2] * 3
Or (2 + 33/5)P2 = 17200 * 3
P2 = 17200 * 3 * 5 / 43 = 6000
So P1 = 6/5 P2 = 7200
So Sum invested @ 9% = 17200–(6000+7200) = Rs 4000
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 50 days B) 80 days
C) 24 days D) 37.5 days
 
Answer & Explanation Answer: A) 50 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Which of the following is a rational number?

A) 0.241 B) 1.732
C) 4 D) All of the above
 
Answer & Explanation Answer: C) 4

Explanation:

Any number which can be expressed as a fraction of two integers like P & Q as P/Q where Q is not equal to zero.

Every integer is a rational number since Q can be 1.

 

Hence, in the given options, 4 can be expressed as a simple fraction as 4/1. And all other options cannot be expressed as fractions.

 

Hence, 4 is a rational number in the given options.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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