CAT Questions

Q:

A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?

A) 10% B) 15%
C) 20% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Let the list price be Rs.100. 

 

Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.

 

Therefore, his percentage is = 1560x100 = 25%

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Filed Under: Profit and Loss
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17 9280
Q:

Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?

A) 16547 B) 17212
C) 14875 D) 27848
 
Answer & Explanation Answer: D) 27848

Explanation:
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10 9279
Q:

The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is 

A) 5100 sq.m B) 4870 sq.m
C) 4987 sq.m D) 4442 sq.m
 
Answer & Explanation Answer: A) 5100 sq.m

Explanation:

Let the breadth of floor be 'b' m.

Then, length of the floor is 'l = (b + 25)'

Area of the rectangular floor = l x b = (b + 25) × b

According to the question,

(b + 15) (b + 8) = (b + 25) × b

b2 + 8b + 15b + 120 = b2 + 25b

2b = 120

b = 60 m.

l = b + 25 = 60 + 25 = 85 m.

 

Area of the floor = 85 × 60 = 5100 sq.m.

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Filed Under: Area
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37 9269
Q:

Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age? 

A) 44 yrs B) 56 yrs
C) 67 yrs D) 78 yrs
 
Answer & Explanation Answer: D) 78 yrs

Explanation:

Let Hari Ram's present age = x

Then, his son's age = x/3

Father's age = 5x/2

x + x3 + 52x3 = 46=> x = 36 yrs

Now the required difference = 52x36 - 363 = 78 yrs

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Filed Under: Problems on Ages
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11 9263
Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days B) 7 days
C) 6 3/7 days D) 8 days
 
Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day =    W/24

   ?    =      W/3

=>  ?  = 24W/3W  = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

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Filed Under: Time and Work
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18 9256
Q:

If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ?

A) 1.44% loss B) 14.4% loss
C) 0% D) 14.4% profit
 
Answer & Explanation Answer: A) 1.44% loss

Explanation:

SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.
In this case, there will be loss and percentage of loss is given by

= [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%

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2 9252
Q:

Try this Brain Bashing Challenge ?

17426130_1248673081906460_4073935778689070051_n1500012638.jpg image

A) A to G : 2, 3, 7, 6, 5, 1, 4 B) A to G : 1, 4, 5, 6, 2, 7, 3
C) A to G : 5, 4, 7, 6, 3, 1, 2 D) None
 
Answer & Explanation Answer: A) A to G : 2, 3, 7, 6, 5, 1, 4

Explanation:

This can be done in two ways

1. A to G : 2, 3, 7, 6, 5, 1, 4 

2. A to G : 4, 3, 7, 5, 6, 2, 1

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Filed Under: Math Puzzles
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41 9249
Q:

Which state is known as land of setting sun in India?

A) Rajasthan B) Arunachal Pradesh
C) Kerala D) Gujarat
 
Answer & Explanation Answer: A) Rajasthan

Explanation:

Arunachal Pradesh is known as the land of rising sun whereas Rajasthan is known as the land of setting sun in Indian states.

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Filed Under: Indian Geography
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3 9245