Quantitative Aptitude - Arithmetic Ability Questions

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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3 4502
Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 17296 B) 13296
C) 19296 D) 15296
 
Answer & Explanation Answer: C) 19296

Explanation:

i=j/m

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

1 4499
Q:

An amount of $255 was invested at 8.5% p.a. How long will it take, to the nearest year, to earn $86.70 in interest?

A) 2years B) 3years
C) 4years D) 5years
 
Answer & Explanation Answer: C) 4years

Explanation:

T = (100 x I)/ (P x r)

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4497
Q:

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs.175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%?

A) Rs 5425  B) Rs 4875 
C)  Rs 4675  D)  Rs 5275 
 
Answer & Explanation Answer: A) Rs 5425 

Explanation:

Let the selling price for each of the shopkeeper be Rs 100x

For 1st shopkeeper

SP= Rs 100x

CP=100

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

13 4495
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

7 4494
Q:

A sum of Rs. 10,000 is lent partly at 6% and the remaining at 10% p.a. If the yearly interest on the average is 9.2%, the money lent at 10% is:-

A) Rs. 8000 B) Rs. 8500
C) Rs. 5000 D) Rs. 2000
 
Answer & Explanation Answer: A) Rs. 8000

Explanation:

Let the amount at 6% be x
Amount at 10% be (10000 –x)
At 9.2 % interest, SI = 10000 X 9.2 X 1/100 = 920
Amount = 10920
⇒ 6x/100 + (10000 – x)10/100 = 920
⇒ 6x – 10x + 100000 = 92000
⇒ 4x = 8000
⇒ x = 2000
Money lent at 10 % = 10000 – 2000 = 8000

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Filed Under: Simple Interest
Exam Prep: Bank Exams

4 4480
Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A) 3years B) 2years
C) 4years D) 6years
 
Answer & Explanation Answer: B) 2years

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000*(1+7/100)^n=34347

n= 2 years

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4474
Q:

There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?

A) 49450 B) 50540
C) 46587 D) 52487
 
Answer & Explanation Answer: B) 50540

Explanation:

Given G + B= 41 and B = G-1
Hence, G = 21 and B = 20
Now we have 2 options,
1G and 3M
(or)
3G and 1M
(2G and 2M or 0G and 4M or 4G and oM are not allowed),

 

Total : C121×C320+C321×C120= 50540 ways.

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

2 4470