Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

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Q:

Choose the alternative which is closely resembles the water image of the given combination/figure.

ADVANCE

1) download_(1)1492407904.png image 2) download_(2)1492407924.png image 3) download1492407936.png image 4) NONE

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

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Q:

Who translated Ramayana into Persian?

A) Abdul Fazi	B) Badauni
C) Isar Das	D) Abdul Latif

Answer & Explanation Answer: A) Abdul Fazi

Explanation:

In 1574 Akbar started a Maktab Khana or a house of translation works in Fatehpur Sikri. He endorsed the work to a few officials to make translations of the Sanskrit books Rajatarangini, Ramayana and Mahabharata into the Persian language.

Who_translated_Ramayana_into_Persian1558074490.jpg image

In that officials, Abdul Fazi translated Ramayana into Persian.

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Q:

In the following question, select the missing number from the given series.

1728, 864, 432, 216, ?

A) 54	B) 108
C) 116	D) 200

Answer & Explanation Answer: B) 108

Explanation:

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Q:

Select the related word/letters/number from the given alternatives.

CD: GH : : ?

A) PQ: TU	B) RS: UV
C) MN: OR	D) ST: XY

Answer & Explanation Answer: A) PQ: TU

Explanation:

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Q:

Which number replaces the '?' in the given series

108, 127, 2413, 2430, 41310, ?, 619875

A) 41975	B) 41325
C) 84375	D) 41365

Answer & Explanation Answer: B) 41325

Explanation:

The given series follows a pattern of +19, x19, +17, x17, +15, x15,...

Here the number which is to be replaced in ? is

41310+15=41325.

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Q:

The diagonal of a rectangle is $\sqrt{41}$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 18	B) 28
C) 38	D) 48

Answer & Explanation Answer: A) 18

Explanation:

$\sqrt{(l^{2} + b^{2})} = \sqrt{41}$ (or) $l^{2} + b^{2} = 41$

Also, $l b = 20$

${(l + b)}^{2} = l^{2 +} b^{2} + 2 l b$ = 41 + 40 = 81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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Q:

The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?

A) 4	B) 5
C) 8	D) None of these

Answer & Explanation Answer: B) 5

Explanation:

Wine Water

8L 32L

1 : 4

20 % 80% (original ratio)

30 % 70% (required ratio)

In ths case, the percentage of water being reduced when the mixture is being replaced with wine.

so the ratio of left quantity to the initial quantity is 7:8

Therefore , $\frac{7}{8} = [1 - \frac{K}{40}]$

=> K = 5 Lit

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