Quantitative Aptitude - Arithmetic Ability Questions

Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500 B) 6200
C) 5600 D) 4700
 
Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=>          30% ------- 2250
Then for 100% -------- ?     => 7500

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Filed Under: Percentage
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26 21388
Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ?

A) 27 sec B) 31 sec
C) 23 sec D) 29 sec
 
Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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Filed Under: Time and Distance
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24 21377
Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

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

Explanation:

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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Filed Under: Numbers
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1 21327
Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay : 

A) Rs. 100 B) Rs. 105
C) Rs. 115 D) Rs. 110
 
Answer & Explanation Answer: C) Rs. 115

Explanation:

Amount to be paid = Rs.100+200×5×1100+100×5×1100= Rs. 115.

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Filed Under: Simple Interest
Exam Prep: CAT
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35 21322
Q:

What value should come in place of question mark (?) in the following question?

442 + 232 = (?)2 + 44

A) 47 B) 65
C) 52 D) 41
 
Answer & Explanation Answer: A) 47

Explanation:

1936 + 529 = ?2 + 256 2465 = ?2 + 256 ?2 = 2465 - 256 ?2 = 2209 ?=47

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0 21315
Q:

If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

A) Rs. (xy/d) B) Rs. (xd)
C) Rs. (yd) D) Rs. (yd/x)
 
Answer & Explanation Answer: D) Rs. (yd/x)

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs.(d/x)

Cost of y metres = Rs.[(d/x).y] = Rs.(yd/x)

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Filed Under: Chain Rule

18 21315
Q:

The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?

A) Rs.22,000 B) Rs.27,500
C) Rs. 26,400 D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

Explanation:
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Filed Under: Percentage
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Job Role: Bank PO

100 21286
Q:

P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days?

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

Explanation:

Ratio of times taken by P & Q = 100 : 130 = 10:13

 

Let Q takes x days to do the work

Then, 10:13 :: 23:x

=> x = 23x13/10

=> x = 299/10

 

P's 1 day's work = 1/23

Q's 1 day's work = 10/299

(P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13

Hence, P & Q together can complete the work in 13 days.

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Filed Under: Time and Work
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17 21225