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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ?

A) 521 B) 720
C) 420 D) 225
 
Answer & Explanation Answer: B) 720

Explanation:

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

 

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.

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Filed Under: Permutations and Combinations
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14 18375
Q:

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by :

A) 1.2 % B) 2.1 %
C) 3.1 % D) 1.3 %
 
Answer & Explanation Answer: B) 2.1 %

Explanation:

 Net growth on 1000 = (32 - 11) = 21. Net growth on 100 =(21/1000 * 100) %= 2.1%.

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Filed Under: Percentage

18 18374
Q:

A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?

A) 80 kms B) 60 kms
C) 45 kms D) 32 kms
 
Answer & Explanation Answer: B) 60 kms

Explanation:

Let 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms.

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Filed Under: Problems on Trains
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19 18366
Q:

A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is

A) 10% B) 50%
C) 25% D) 52%
 
Answer & Explanation Answer: C) 25%

Explanation:

cost price = (225 + 15) = 240 sell price = 300
gain = (60/240)*100 = 25%

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Filed Under: Profit and Loss

44 18356
Q:

Find the missing value denoted by '?'

 

3 : 243 :: 5 : ?

 

A) 625 B) 465
C) 3125 D) 425
 
Answer & Explanation Answer: C) 3125

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 18353
Q:

 Find the average of first 30 multiples of 7.

 

A) 94.8 B) 99.6
C) 104.4 D) 108.5
 
Answer & Explanation Answer: D) 108.5

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

8 18339
Q:

The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

A) 108 B) 115
C) 100 D) 120
 
Answer & Explanation Answer: A) 108

Explanation:

P.W. = Rs. (540 - 90) = Rs. 450.

S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs.( 90 /450)x 540 = Rs. 108.

B.D. = Rs. 108.

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Filed Under: Banker's Discount

7 18337
Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 4511 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

 

Satish Ratio in profit will be= 16970×2179 = Rs. 4511

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Filed Under: Partnership
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