Quantitative Aptitude - Arithmetic Ability Questions

Q:

5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?

A) 200 B) 215
C) 240 D) 250
 
Answer & Explanation Answer: A) 200

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Q:

If a - b = 10 and ab =-21, then what is the value of a3-b3 ?

A) 316 B) 370
C) 185 D) 158
 
Answer & Explanation Answer: B) 370

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Q:

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A) 8 B) 9
C) 7 D) 10
 
Answer & Explanation Answer: D) 10

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Q:

A sum of Rs 4000 becomes Rs 6000 in 1 year at a certain rate of compound interest. What will be the sum (in Rs) after 4 years?

A) 16250 B) 12000
C) 20250 D) 19500
 
Answer & Explanation Answer: C) 20250

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Filed Under: Compound Interest
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Q:

If a - b = -5 and a2+b2=73, then find ab.

A) 35 B) 14
C) 50 D) 24
 
Answer & Explanation Answer: D) 24

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Q:

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

A) 6 days B) 3 days
C) 18 days D) 1.5 days
 
Answer & Explanation Answer: B) 3 days

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Filed Under: Time and Work
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Q:

Both S.I. and C.I. is calculated with a similar rate of 10% per annum on a sum of rupees. If C.I. is calculated yearly for two years, then for what period must S.I. be evaluated such that S.I. = C.I.?

A) 4.2 years B) 2.1 years
C) 1.1 years D) 1.4 years
 
Answer & Explanation Answer: B) 2.1 years

Explanation:

Let time period of S.I. be T years.

Then for a principal amount, say P,

ATQ, as, S.I. = C.I. for rate =10%p.a. and

time for C.I. = 2(P x 10 x T)/100 = P{[ (100+10)/100 ]2-1}T/10 = [ 110/100 ]2–1 = [(11/10)2–1] = (121-100)/100T/10 = 21/100T = 21/10 = 2.1 years

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Filed Under: Simple Interest
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Q:

Satheesh is two years older than Goutham who is twice as old as Sai. If the total of the ages of Satheesh, Goutham and Sai is 27, then how old is Goutham?

A) 12 B) 10
C) 11 D) 13
 
Answer & Explanation Answer: B) 10

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Filed Under: Problems on Ages
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