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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:

A) 26 B) 36
C) 46 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

Let Pencils = 10x, Pens = 2x & Exercise books = 3x. Now, 10x = 120 hence x = 12.
Number of exercise books = 3x = 36.

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Filed Under: Ratios and Proportions

44 19871
Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126 B) 120
C) 146 D) 156
 
Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.


We may divide the 8 students as follows


Case I: 5 students in the first car and 3 in the second
Case II: 4 students in the first car and 4 in the second


Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.


Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.


Therefore, the total number of ways in which 8 students can travel is:
8C3+8C4=56 + 70= 126

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Filed Under: Permutations and Combinations

13 19866
Q:

The ratios of areas of two squares, one having its diagonal double than the other is

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

Explanation:

ratio = 1/2×2d212d2=4:1

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

49 19849
Q:

A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.

A) 26.34 litres B) 27.36 litres
C) 28 litres D) 29.16 litres
 
Answer & Explanation Answer: D) 29.16 litres

Explanation:

Amount of milk left after 3 operations

 

401-4403=40*910*910*910=29.16 litres

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Filed Under: Alligation or Mixture

65 19811
Q:

The median of the data 1, 1/2, 1/2, 3/4, 1/4, 2, 1/2, 1/4, 3/4 is

 

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

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

0 19792
Q:

The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :

A) 25 B) 35
C) 45 D) 55
 
Answer & Explanation Answer: B) 35

Explanation:

Excluded number = (27 x 5)  -  (25 x 4) = 135 - 100 = 35.

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Filed Under: Average

31 19769
Q:

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size? 

A) 6 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: B) 8

Explanation:

Side of smallest cube = L.C.M of 5, 10, 20 = 20cm  

Volume of the cube = (20 x 20 x 20)cu.cm = 8000 cu.cm  

Volume of the block= (5 x 10 x 20)cu.cm = 1000 cu.cm  

Number of blocks = (8000/1000) = 8

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

35 19768
Q:

What is the probability of getting at least one six in a single throw of three unbiased dice?

A) 1/36 B) 91/256
C) 13/256 D) 43/256
 
Answer & Explanation Answer: B) 91/256

Explanation:

Find the number of cases in which none of the digits show a '6'.

i.e. all three dice show a number other than '6', 5×5×5=125 cases.

Total possible outcomes when three dice are thrown = 216.

The number of outcomes in which at least one die shows a '6' = Total possible outcomes when three dice are thrown - Number of outcomes in which none of them show '6'.

=216−125=91

The required probability = 91/256

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Filed Under: Probability

27 19759