Quantitative Aptitude - Arithmetic Ability Questions

Q:

3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

Let the required no of working hours per day be x.

More pumps , Less working hours per day  (Indirect Proportion)

Less days, More working hours per day      (Indirect Proportion)

 Pumps4 : 3Days1 : 2 8:x

=> (4 * 1 * x) = (3 * 2 * 8)

=> x=12

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Filed Under: Chain Rule

47 29334
Q:

In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

A) 4! x 4! B) 5! x 5!
C) 4! x 5! D) 3! x 4!
 
Answer & Explanation Answer: C) 4! x 5!

Explanation:

The word EDUCATION is a 9 letter word, with none of the letters repeating.

The vowels occupy 3rd,5th,7th and 8th position in the word and the remaining 5 positions are occupied by consonants

As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the afore mentioned 4 places and the consonants can occupy1st,2nd,4th,6th and 9th positions.

The 4 vowels can be arranged in the 3rd,5th,7th and 8th position in 4! Ways.

Similarly, the 5 consonants can be arranged in1st,2nd,4th,6th and 9th position in5! Ways.

Hence, the total number of ways = 4! × 5!

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21 29293
Q:

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A) 230 m B) 240 m
C) 260 m D) 270 m
 
Answer & Explanation Answer: D) 270 m

Explanation:

Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.

Time = 26 sec.

Let the length of the train be x metres.

Then,[ (x+250)/26 ]= 20

=> x + 250 = 520

=> x = 270.

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Filed Under: Problems on Trains

36 29269
Q:

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A) 30/100 B) 35/100
C) 45/100 D) 50/100
 
Answer & Explanation Answer: B) 35/100

Explanation:

Let   A = Event that A speaks the truth

B = Event that B speaks the truth 


Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = 1-34= 1/4 

P(B-lie) = 1-45= 1/5

 

Now, A and B contradict each other =[A lies and B true] or [B true and B lies]

 = P(A).P(B-lie) + P(A-lie).P(B) 

 = 35*15+14*45=720  

 = 720*100= 35%

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Filed Under: Probability

64 29263
Q:

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

A) 2 : 3 : 5 B) 3 : 4 : 7
C) 5 : 6 : 4 D) 1 : 3 : 5
 
Answer & Explanation Answer: B) 3 : 4 : 7

Explanation:

A : B : C  = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336

= 3 : 4 : 7.

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Filed Under: Partnership

29 29250
Q:

If X : Y : Z = 3 : 4 : 5, then what will be the ratio of (X/Y) : (Y/Z) : (Z/X)?

 

A) 5 : 4 : 3 B) 30 : 40 : 27
C) 45 : 48 : 100 D) 20 : 15 : 12
 
Answer & Explanation Answer: C) 45 : 48 : 100

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

4 29239
Q:

Find the odd word/letters/number pair from the given alternatives.

(A) Fire (B) Light (C) Gas (D) Water

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 29143
Q:

Select the number pair that does not belong in the following group.

 

(1,1), (4,64), (8,512), (9,719)

 

A) (1,1) B) (8,512)
C) (9,719) D) (4,64)
 
Answer & Explanation Answer: C) (9,719)

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 29111