Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Fish and other aquatic creatures can live inside a deep frozen pond because

A) fish are cold-blooded animals	B) ice is a bad conductor of heat
C) there will always be water just beneath the ice level	D) they can adapt themselves to live in ice

Answer & Explanation Answer: C) there will always be water just beneath the ice level

Explanation:

Water has the maximum density at $4^{o} C$ . So at this temperature, it sinks down to bottom and stays here. If it cools further, it will become less dense and move up. So while the upper layers can cool enough to form ice, the bottom layers remain as water at $4^{o} C$ .

Therefore, (C) is correct.

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Filed Under: Physics
Exam Prep: CAT , AIEEE
Job Role: Analyst

20 7538

Q:

A man spend 20% of his monthly salary on his children's education and 50% of his salary on food and transport. After Paying the rent of Rs.1000, he is left with Rs.2000. What is his monthly salary?

A) 7000	B) 10000
C) 14000	D) 20000

Answer & Explanation Answer: B) 10000

Explanation:

Let his monthly salary be 'P'

20% on children's education = $\frac{20 P}{100} = \frac{P}{5}$

50% on food and transport = $\frac{50 P}{100} = \frac{P}{2}$

1000 on rent

=> $P - \frac{P}{5} - \frac{P}{2} - 1000 = 2000 = > 3 P = 30000 = > P = 10000$

Therefore, his monthly salary = Rs. 10,000

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Filed Under: Percentage
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4 7522

Q:

Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ?

A) 25 : 114	B) 35 : 103
C) 15 : 108	D) 41 : 94

Answer & Explanation Answer: B) 35 : 103

Explanation:

Santhosh's investment = 6000 x 70/100 = Rs.4200
Rajitha's investment = 4200 x 5/4 = Rs.5250
Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.
Required ratio = 5250 : 15450 = 35 : 103.

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Filed Under: Ratios and Proportions
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5 7516

Q:

Express 6.72 % in ratio ?

A) 65 : 124	B) 42 : 625
C) 21 : 125	D) 37 : 442

Answer & Explanation Answer: B) 42 : 625

Explanation:

6.72/100 = 672/10000 = 42/625

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11 7504

Q:

The concentration of glucose in three different mixtures (glucose and alcohol) is $\frac{1}{2}, \frac{3}{5} a n d \frac{4}{5}$ respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of glucose and alcohol in the new mixture?

A) 3:2	B) 4:3
C) 2:3	D) 3:4

Answer & Explanation Answer: A) 3:2

Explanation:

Concentration of glucose are in the ratio = $\frac{1}{2} : \frac{3}{5} : \frac{4}{5}$

Quantity of glucose taken from A = 1 liter out of 2

Quantity of glucose taken from B = 3/5 x 3 = 1.5 lit

Quantity of glucose taken from C = 0.8 lit

So, total quantity of glucose taken from A,B and C = 3.6 lit

So, quantity of alcohol = (2 + 3 + 1) - 3.6 = 2.4 lit

Ratio of glucose to alcohol = 3.6/2.4 = 3:2

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Filed Under: Alligation or Mixture
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23 7499

Q:

If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ?

A) 18%	B) 20%
C) 22%	D) 24%

Answer & Explanation Answer: B) 20%

Explanation:

Let the Cost of Production of the article = 100

Then, Labour Cost = 20

Raw Material = 10

Other Expenditure = 100 - 10 – 20 = 70

Selling Price of the article = 120

After increasing Labour and Raw material cost by 40% & 20% respectively,

New Labour cost = 28

New Raw material cost = 12

New Cost of Production = 70 + 28 + 12 = 110

Then, New SP = 110% of 120 = 120 x 110/100 = 132

=> New Gain = 132 - 110 = 22

=> New Profit % = 22 x 100/110 = 20%

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Filed Under: Profit and Loss
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12 7489

Q:

Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last year and he saved 12% of his annual earnings. The amount saved this year was what percentage of the amount saved last year ?

A) 87%	B) 98%
C) 138%	D) 126%

Answer & Explanation Answer: D) 126%

Explanation:

Suppose total earnings = Rs. 10000
10% saving = 10000 x (10/100) = Rs. 1000
This year 5% more income than prev year = Rs. 10500
12% saving = 10500 x (12/100) = Rs. 1260
Percentage of amount saved = (1260/1000) x 100 = 126%

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Filed Under: Percentage
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4 7487

Q:

A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

A) 28 cm	B) 3.5 cm
C) 7 cm	D) 14 cm

Answer & Explanation Answer: D) 14 cm

Explanation:

Circular piece is 4 x 11 = 44 cm long,

Then Circumference of circle is given by,

44 = pi x D, where D is the diameter

D = 44 / pi

Take pi = 22 / 7, then

D = 44 / (22/7) = (44 x 7) / 22

D = 14 cm.

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Filed Under: Area
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24 7484

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