Quantitative Aptitude - Arithmetic Ability Questions

Q:

70000 a year is how much an hour?

A) 80 B) 8
C) 0.8 D) 0.08
 
Answer & Explanation Answer: B) 8

Explanation:

Given for year = 70000

=> 365 days = 70000

=> 365 x 24 hours = 70000

=>   1 hour = ?

70000/365x24 = 7.990 = 8

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Q:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

A) 85 min B) 92 min
C) 187 min D) 144 min
 
Answer & Explanation Answer: D) 144 min

Explanation:

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36 

4/x = 1/36 => x = 144 min.
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Filed Under: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams
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7 3255
Q:

5/8 as a Decimal Equals To

A) 0.625 B) 0.541
C) 0.258 D) 0.147
 
Answer & Explanation Answer: A) 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of 58 is 0.625.

 

Now find a decimal value of 1117 and Discuss your at Discuss.

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Filed Under: Decimal Fractions
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8 3254
Q:

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

A) 18/95 B) 18/190
C) 1/2 D) 91/190
 
Answer & Explanation Answer: D) 91/190

Explanation:

Total number of elementary events = 20C2 ways =190

 

There are 7 white balls out of which one white can be drawn in 7C1 ways and one ball from remaining 13 balls can be drawn in 13C1 ways.

 

So,favourable events = 7C1*13C1

 

Therfore,required probability = (7C1*13C1)/20C2=91/90

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Filed Under: Probability

2 3248
Q:

If the ratio of cost price and selling price is 4 : 5 ,then the percentage of profit will be

A) 20 B) 0.1
C) 10 D) 25
 
Answer & Explanation Answer: D) 25

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 3247
Q:

The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

A) 3:2 B) 1:2
C) 2:1 D) 3:1
 
Answer & Explanation Answer: D) 3:1

Explanation:

Let the present age of P be 8x and Q be 5x After 4 years, P's age = 8x + 4 and Q's age = 5x + 4 8x+4/5x+4 = 4/3 24x+12 = 20x+16 => 4x = 4=> x = 1 Present age of P = 8 years Present age of Q = 5 years Required ratio = 15 : 5 = 3 : 1

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Filed Under: Problems on Ages

1 3247
Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

A) 5.5% B) 6%
C) 6.5% D) 7%
 
Answer & Explanation Answer: B) 6%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

 

Hence, the rate of interest = 6% and time = 6 yrs.

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Filed Under: Simple Interest
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15 3246
Q:

21 is 35 of what number?

A) 60 B) 85
C) 300 D) 21
 
Answer & Explanation Answer: A) 60

Explanation:

The given sentence 21 is 35 of what number means that 

21 is 35 % of what number

Let that number be P

=> 35P/100 = 21

35P = 2100

P = 2100/35 = 300/5 = 60

 

Hence, 21 is 35 of 60.

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Filed Under: Percentage
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