Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of the speeds of a car, a jeeps and a tractor is 3 : 5 : 2. The speed of the jeep is 250 per cent of the speed of the tractor and tractor covers 360 km in 12 hours. What is the average speed of car and jeep together?

A) 50 kmph B) 60 kmph
C) 70 kmph D) 80 kmph
 
Answer & Explanation Answer: B) 60 kmph

Explanation:

Speed of tractor = 360/12 = 30 kmph

Speed of jeep = 250 x 30/100 = 75 kmph

But, given ratio of speed of car, jeep and tractor is 3 : 5 : 2

Speed of car = 3 x 75/5 = 45 kmph

 

Required, average speed of car and jeep = 75 + 45/2 = 60 kmph.

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Filed Under: Time and Distance
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15 6481
Q:

The difference between 4632 and 20000 is what number

A) 15368 B) 12652
C) 14562 D) 14965
 
Answer & Explanation Answer: A) 15368

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

 

Hence, The difference between 4632 and 20000 is 15368 and is an even number.

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Filed Under: Problems on Numbers
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0 6475
Q:

In how many ways, can zero or more letters be selected form the letters AAAAA?

A) 5 B) 6
C) 2 D) 8
 
Answer & Explanation Answer: B) 6

Explanation:

Selecting zero'A's= 1

Selecting one 'A's = 1

Selecting two 'A's = 1

Selecting three 'A's = 1

Selecting four 'A's = 1

Selecting five 'A's = 1

=> Required number ofways =6

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Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

A) 200, 400 B) 100, 300
C) 100, 200 D) 150, 200
 
Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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Filed Under: Ratios and Proportions
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6 6475
Q:

A pizza can have 3 toppings out of possible 7 toppings.How many different pizza's can be made?

A) 49 B) 35
C) 27 D) 25
 
Answer & Explanation Answer: B) 35

Explanation:

There are 7 toppings in total,and by selecting 3,we will make different types of pizza.

 

This question is a combination since having a different order of toppings will not make a different pizza.

 

So,7C3 =35

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Q:

Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ?

A) 8 days B) 12 days
C) 14 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

Explanation:

Ratio of efficiencies of Priya and Sai is

Sai : Priya = 160 : 100 = 8 : 5

Given Priya completes the work in 16 days

Let number of days Sai completes the work be 'd'

=> 5×16 = 8×d

d = 10 days.

Therefore, number of days Sai completes the work is 10 days.

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Filed Under: Time and Work
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13 6469
Q:

In the following question a number series is given which has only one wrong number. You have to find out the wrong number?

7.5  47.5  87.5  157.5  247.5  357.5  487.5 

A) 47.5 B) 87.5
C) 247.5 D) 357.5
 
Answer & Explanation Answer: A) 47.5

Explanation:
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Q:

12 days payment to the servant in a cloth showroom in festival season is Rs. 400 plus one shirt. The servant leaves after 9 days and recieves Rs. 280 and a shirt. What is the price of the shirt ? 

A) Rs. 80 B) Rs. 120
C) Rs. 70 D) Rs. 100
 
Answer & Explanation Answer: A) Rs. 80

Explanation:

The servant worked for 9 days instead of 12 days, he should receive 9/12 of his total payment

Let the price of 1 shirt be Rs. S 

i.e., 3/4 (400 + S).

However, the question states that the servant receive Rs. 280 + S where S is the price of the shirt.

By equating the two equations we get 3/4 (400 + S) = 280 + S.

Therefore, Price of the shirt S = Rs. 80.

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Filed Under: Profit and Loss
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22 6461