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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction ?

A) 7/11 B) 8/11
C) 9/11 D) 10/11
 
Answer & Explanation Answer: B) 8/11

Explanation:

Let the numerator be x Then, denominator =  x + 3.

Now. (x + 4)/(x + 3) +4 = 4/5  <=> 5 (x + 4) =  4(x + 7)

=>  x = 8.

The fraction is  8/11.

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Filed Under: Problems on Numbers

24 18806
Q:

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

A) 625 B) 525
C) 425 D) 325
 
Answer & Explanation Answer: B) 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 18790
Q:

A contractor undertakes to complete a work in 130 days. He employs 150 men for 25 days and they complete 1/4 of the work . He then reduces the number of men to 100, who work for 60 days, after which there are 10 days holidays.How many men must be employed for the remaining period to finish the work?

Answer

150 men in 25 days do = 14 work  


Let 1 man in 1 day does = x  work  


Total work done by 150 men in 25 days = 150x *  25 = 14   work => x = 115000   


Therefore, 100 men in 60 days do = 100 * 60x = 6000x work = 6/15 = 2/5


Total work done =14 + 25 = 1320 


Therefore, Remaining work = 1 - 1320 = 720  


Remaining time = 130 - (25+60+10) = 35 days 


Therefore, work is done in 25 days by 150 men.


Therefore, Work is done in 35 days by 150 men.


Hence, he should employ 50 more men.

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Subject: Time and Work Exam Prep: Bank Exams , AIEEE
Job Role: Bank PO

47 18731
Q:

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

34 of 35 of 23 of ? = 3174

A) 10550 B) 10540
C) 10580 D) 10500
 
Answer & Explanation Answer: C) 10580

Explanation:

23x35x34x?=31743174x10/3= 10580

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 18653
Q:

How many degrees will the minute hand move, in the same time in which the second hand move 5400 ?

A) 90 degrees B) 85 degrees
C) 60 degrees D) 45 degrees
 
Answer & Explanation Answer: A) 90 degrees

Explanation:

Minute hand covers 5400/60 = 90°

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

37 18603
Q:

In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?

Answer

Ratio  of speeds of A:B = 1000:900 = 100:90


Ratio of speeds of B:C = 1000:920 = 100:92


Therefore, when A moves 1000m , B moves 900 m and when B moves 900m, C moves 828m


Thus,             


Since , C moves 8 % less than B in the same time . Thus, C is the worst performer and A will win by him by 172 m

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Subject: Time and Distance

45 18582
Q:

In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?

A) 48400 B) 54200
C) 64000 D) 74000
 
Answer & Explanation Answer: A) 48400

Explanation:

A : B = 3 : 2 => B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3.

So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3.

B's share = Rs. (157300 x 4/13 ) = Rs. 48400.

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Filed Under: Partnership

14 18570
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
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

13 18568