Quantitative Aptitude - Arithmetic Ability Questions

Q:

A can do 1/2 of a piece of work in 8 days while B can do1/3of the same work in 8 days. In how many days can both do it together?

A) 9.6 days B) 10.5 days
C) 11.2 days D) 16 days
 
Answer & Explanation Answer: A) 9.6 days

Explanation:

A completed their work in 8 X 2 = 16 days

B completed their work in 8 X 3 = 24 days

A and B one day work1/16 + 1/245/48

A and B completed their work in 48/5 days = 9.6 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs B) 29.5 yrs
C) 30.5 yrs D) 27 yrs
 
Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Q:

If a = bx, b = cy and c = az then the value of xyz is equal to :

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

Explanation:
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Filed Under: Logarithms

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Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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

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Q:

A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 183 B) 153
C) 63 D) 123
 
Answer & Explanation Answer: A) 183

Explanation:

LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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

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Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175 B) 155:124:95
C) 135:147:152 D) 175:144:115
 
Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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Filed Under: Partnership
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

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Q:

A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

A) 120 B) 162
C) 126 D) 170
 
Answer & Explanation Answer: C) 126

Explanation:

This question is a combination since order is not important.

 

Answer = 7C3 = 126

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