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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.

A) 5/12 B) 7/12
C) 3/14 D) 1/12
 
Answer & Explanation Answer: D) 1/12

Explanation:

Total number of elementary events = 10C5

 

Number of ways of selecting no defective bulbs i.e., 5 non-defective bulbs out of 7 is 7C5.

 

So,required probability =7C5/ 10C5 = 1/12.

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Filed Under: Probability

20 13290
Q:

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

A) 4400 B) 3100
C) 2800 D) 5600
 
Answer & Explanation Answer: A) 4400

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 13282
Q:

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.

A) Rs.15500 B) Rs.16500
C) Rs.17500 D) Rs.18500
 
Answer & Explanation Answer: B) Rs.16500

Explanation:

Area = 5.5 × 3.75 sq. metre.

Cost for 1 sq. metre. = Rs. 800

 

Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500

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

27 13277
Q:

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ?

A) 1 kmph B) 3.2 kmph
C) 1.5 kmph D) 2 kmph
 
Answer & Explanation Answer: C) 1.5 kmph

Explanation:

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9 
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

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Filed Under: Boats and Streams
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16 13277
Q:

The highest score in an inning was  3/11 of the total and the next highest was 3/11 of the reminder . If the score  differ by 9, the total score was :

A) 110 B) 121
C) 132 D) 143
 
Answer & Explanation Answer: B) 121

Explanation:

Let the score be x. Then the highest score = 3x/11.

Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121.

3x/11 - 24x/11 = 9 <=> 33x - 24x = 9*121 <=> x= 121..

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Filed Under: Simplification

17 13274
Q:

When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ?

A) 16 B) 15
C) 17 D) 14
 
Answer & Explanation Answer: B) 15

Explanation:

Given when she sells at Rs. 160 for 20 articles, she get 40% loss.

 

Then, to get 20% profit selling at Rs. 240 for let 'P' articles

 

=> 1602060=240p120

 

=> 120 x 160 x P = 20 x 70 x 240

 

=> P =  15 articles.

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Filed Under: Profit and Loss
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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26 13270
Q:

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A) 4 B) 10
C) 15 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes,they will together (30/2)+1=16 times

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Filed Under: HCF and LCM

20 13256
Q:

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is

A) 6.06% B) 6.07%
C) 6.08% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs.[100*(1+3/100)^2]=Rs.106.09

Effective rate=(106.09-100)%=6.09%

 

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

10 13237