Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?

A) 260/11%	B) 18.4%
C) 22.5%	D) 100/7%

Answer & Explanation Answer: D) 100/7%

Explanation:

When profit is calculated on Marked Price (M.P) then,

C.P = M.P - P%

Let M.P = 100

=> C.P = 100 - 30 = 70

But S.P = Rs. 80 as he gave 20% discount,

Now, Actual Profit = $\frac{80 - 70}{70} x 100$

= 100/7 %

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18 10225

Q:

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

A) 25%	B) 30%
C) 17%	D) 19%

Answer & Explanation Answer: A) 25%

Explanation:

He has gain = 15 - 12 = 3,
Gain% = (3/12) x 100 = (100/4) = 25.
He has 25% gain.

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Filed Under: Alligation or Mixture
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17 10225

Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :

A) 360	B) 180
C) 90	D) 120

Answer & Explanation Answer: B) 180

Explanation:

4 x 27 x 3125 = $2^{2} \times 3^{3} \times 5^{5}$ ;

8 x 9 x 25 x 7 = $2^{3} \times 3^{2} \times 5^{2} \times 7$

16 x 81 x 5 x 11 x 49 = $2^{4} \times 3^{4} \times 5 \times 11 \times 7^{2}$

H.C.F = $2^{2} \times 3^{2} \times 5$ = 180.

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23 10210

Q:

R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?

A) Rs. 90500	B) Rs. 87500
C) Rs. 88900	D) Rs. 90000

Answer & Explanation Answer: D) Rs. 90000

Explanation:

Ratio of investments for 1 year

=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)

=> (P : Q : R) = 28 : 39 : 60

Now R share = 190500 x 60/127 = Rs. 90000.

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Filed Under: Partnership
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10 10171

Q:

Crack the missing number in the given puzzle?

missing_number_puzzle11538565817.jpg image

A) 3	B) 2
C) 1	D) 0

Answer & Explanation Answer: B) 2

Explanation:

Here in the given number puzzle, the logic is

column 2 x column 3 = column 1

3 x 3 = 9

2 x 3 = 6

Similarly,

4 x ? = 8

=> ? = 8/4 = 2.

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22 10169

Q:

A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the string place is

A) 16 km	B) 18 km
C) 21 km	D) 25 km

Answer & Explanation Answer: C) 21 km

Explanation:

Let the distance covered be D km.

$\frac{D}{10 + 4} + \frac{D}{10 - 4} = 5$

$\frac{D}{14} + \frac{D}{6} = 5$

10D = 42 x 5 = 210

=> D = 21 km

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Filed Under: Boats and Streams
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32 10168

Q:

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A) 81	B) 78
C) 80.5	D) 81.5

Answer & Explanation Answer: D) 81.5

Explanation:

Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

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12 10159

Q:

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

A) 22	B) 36
C) 32	D) 26

Answer & Explanation Answer: B) 36

Explanation:

Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
$\frac{54 x 30}{45}$ = 36.

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10 10154

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