Quantitative Aptitude - Arithmetic Ability Questions

Q:

At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?

A) 60 B) 74
C) 82 D) 58
 
Answer & Explanation Answer: A) 60

Explanation:

Let,

no. of rice bowl = x
no. of dal bowl = y
no. of meat bowl = z

Then, x + y + z = 65 ....(1)

Also given that, 2x = 3y = 4z

substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),
We get x = 30.

As 1 rice bowl is shared between 2 guests,
Therefore, there are 60 guests.

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

23 14416
Q:

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A) 8.5% B) 7.5%
C) 8% D) 9%
 
Answer & Explanation Answer: C) 8%

Explanation:

By investing Rs. 1552, income = Rs. 128.

 

By investing Rs. 97, income =Rs.1281552×97= Rs. 8.

 

Dividend = 8%

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Filed Under: Stocks and Shares

5 14389
Q:

Proportion of Yuvaraj’s age to Ganguly’s age is 4:3. Yuvaraj willl be 26 years old after 6 years. What is the age of Ganguly now ?

A) 17 years B) 15 years
C) 19 years D) 12 years
 
Answer & Explanation Answer: B) 15 years

Explanation:

Current ages of Yuvaraj = 4A and Ganguly = 3A
So that 4A + 6 = 26
A = 5
Current age of Ganguly = 3A
=> 3 x 5 = 15 years

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Filed Under: Problems on Ages

22 14389
Q:

If nC10=nC12  then,find n.

A) 10 B) 12
C) 22 D) 24
 
Answer & Explanation Answer: C) 22

Explanation:

Using, Crn=Cn-rn we get 

n – 10 = 12

or, n = 12 + 10 = 22

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19 14386
Q:

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water . If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level

 

A) 11.25cm B) 11.56cm
C) 11.66cm D) 10.86cm
 
Answer & Explanation Answer: A) 11.25cm

Explanation:

Increase in volume = Volume of the cube = (15 x 15 x 15) cm3.

 

\Rise in water level = volume/area = (15 x 15 x 15)/(20 x 15) cm = 11.25 cm.

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7 14380
Q:

Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?

A) 186 B) 180
C) 185 D) 189
 
Answer & Explanation Answer: B) 180

Explanation:

P.W = [100 x Amount] / [100+(R x T)]

=[100 x 930] / [100+(8x3)] = Rs. 750 

T.D = Amount - P.W = 930 - 750 = Rs.180

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Filed Under: True Discount

21 14364
Q:

A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ?

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

Explanation:

Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.

 

After adding water, juice would form 87.5% of the mixture.

 

Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 

 

Hence 72 - 70 = 2 litres of water must be added.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

24 14323
Q:

LCM of 80, 85, 90

A) 11440 B) 11998
C) 12240 D) 12880
 
Answer & Explanation Answer: C) 12240

Explanation:

LCM of (80, 85, 90) can be found by prime factorizing them.

 

80 → 2 × 2 × 2 × 2 × 5

85 → 17 × 5

90 → 2 × 3 × 3 × 5

L.C.M of (80,85,90) = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

= 16 x 9 x 85

= 144 x 85

= 12240

 

L.C.M of (80,85,90) = 12240.

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97 14316