Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the one which does not belong to that group ?

A) 343 B) 2197
C) 1331 D) 121
 
Answer & Explanation Answer: D) 121

Explanation:

343 = 73,  1331 = 113 , 2197 = 133, 121 = 112

 

343, 1331, 2197 are perfect cubes, but not 121.

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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12 12451
Q:

A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal ?

A) 72 kgs B) 80 kgs
C) 76 kgs D) 84 kgs
 
Answer & Explanation Answer: B) 80 kgs

Explanation:

Say total cost price of tea is x.
Then total profit at a rate of 15% is = (15x/100)
According to question,
15x/100 = 60
so x = 400
C.p of the tea is Rs. 400.
so total selling price will be = (400+60) = Rs.460
so the quantity of the tea will be = (460/5.75) = 80kg.

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Filed Under: Profit and Loss
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12 12441
Q:

The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is:

A) 1320 B) 1300
C) 1325 D) 1200
 
Answer & Explanation Answer: C) 1325

Explanation:

Required Sum = PW of Rs.702 due 6 months hence + PW of Rs.702 due 1 year hence 

= Rs.[ (100 x 702) / (100+(8 x 1/2)) ] + [ (100 x 702) / (100+(8 x 1)) ]  

= Rs.1325

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Filed Under: True Discount

10 12435
Q:

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A) 25:16 B) 15:16
C) 16:15 D) 17:16
 
Answer & Explanation Answer: B) 15:16

Explanation:

a2b2=225/256

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

4 12432
Q:

Find the logarithm of 144 to the base 23 :

A) 2 B) 4
C) 8 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

log23144 = 4 

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Filed Under: Logarithms
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55 12430
Q:

A bag contains 8 red and 4 green balls. Find the probability that two balls are red and one ball is green when three balls are drawn at random. 

A) 56/99 B) 112/495
C) 78/495 D) None of these
 
Answer & Explanation Answer: B) 112/495

Explanation:

nS= C4 12=495

 

nE= C28×C14=112

 

P(E)=112495

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Filed Under: Probability

14 12381
Q:

What percentage of simple interest per annum did Anand pay to Deepak?
I. Anand borrowed Rs. 8000 from Deepak for four years.
II. Anand returned Rs. 8800 to Deepak at the end of two years and settled the loan

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Let the rate be R% p.a.

I  gives, P = Rs. 8000 and T = 4 years.

II gives, S.I = Rs. (8800 - 8000) = Rs. 800.

R = [100 x S.I] / [p x t ]= (100 x 800)/(8000 x 4) = 2 ½ % p.a

Thus, I and II both are needed to get the answer.

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

2 12370
Q:

There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?

A) 18! x 19! B) 2 x 19!
C) 2 x 18! D) 18! x 18!
 
Answer & Explanation Answer: C) 2 x 18!

Explanation:

fix one person and the brothers B1 P B2 = 2 ways to do so.
other 17 people= 17!

 
Each person out of 18 can be fixed between the two=18, thus, 2 x 17! x 18=2 x 18!

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