Quantitative Aptitude - Arithmetic Ability Questions

Q:

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

A) Monday B) Tuesday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: B) Tuesday

Explanation:

The year 2007 is an ordinary year. So, it has 1 odd day.

 

1st day of the year 2007 was Monday

 

1st day of the year 2008 will be 1 day beyond Monday

 

Hence, It will be Tuesday.

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Filed Under: Calendar

148 40311
Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ?

A) 6 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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93 40131
Q:

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

A) 20m B) 25m
C) 22.5m D) 9m
 
Answer & Explanation Answer: A) 20m

Explanation:

Distance covered by B in 9 sec. = (100/45)*9m = 20m

 

 A beats B by 20 metres.

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Filed Under: Races and Games

54 40049
Q:

The third proportional to 9 and 12 is ?

A) 14 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: B) 16

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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168 39978
Q:

Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ?

A) 60% B) 40%
C) 50% D) 30%
 
Answer & Explanation Answer: B) 40%

Explanation:

Lets say shyam sells at 100,

 

Since Ram sells 25% cheaper than Shyam,

 

Therefor Ram sells at less than 25% of100 or 75 rs.

 

Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or

 

125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.

 

now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.

 

Hence Brams Good is 40% cheaper than that of Shyam's good.

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

77 39774
Q:

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

A) 10 liters B) 20 liters
C) 30 liters D) 40 liters
 
Answer & Explanation Answer: A) 10 liters

Explanation:

Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters

 

Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)

 

Thus, (30 + P) = 25% of (150 + P)

 

Solving, we get P = 10 liters

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Filed Under: Alligation or Mixture

149 39715
Q:

If 60% of a number is added to 60, then the result is equal to the number itself. What is the number?

 

A) 150   B) 120  
C) 100   D) 180  
 
Answer & Explanation Answer: A) 150  

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

4 39689
Q:

4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours ?

A) 17 men B) 14 men
C) 13 men D) 16 men
 
Answer & Explanation Answer: B) 14 men

Explanation:

M x T / W = Constant
where, M= Men (no. of men)
T= Time taken
W= Work load
So, here we apply
M1 x T1/ W1 = M2 x T2 / W2
Given that, M1 = 4 men, T1 = 7 hours ; T2 = 2 hours, we have to find M2 =?
Note that here, W1 = W2 = 1 road, ie. equal work load.
Clearly, substituting in the above equation we get, M2 = 14 men.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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40 39408