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# CAT Questions – Ratio and Proportion [VIDEO]

QUESTION 1
If $\cfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}=5.\ find\ the\ value\ of\ x$
1. 25
2. 13
3. $\cfrac{25}{2}$
4. $\cfrac{13}{5}$
Option: 4
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QUESTION 2
In an automobile factory, there is a metal cube of side 40 cm and weighs 640 kg. The cube is then melted to form a rod whose cross-section is a square of side 10 cm. From this rod a cut is made on the cross-section so that a small cube is cut. What is the weight of this small cube (in kg)?
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QUESTION 3
A bag contains Rs. 135 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3:4:16. If the number of 50 paise coins and 25 paise coins are interchanged, find the new amount in the bag.
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QUESTION 4
In a class, the ratio of boys to girls is 5:4. The class decided to pool some amount to purchase a birthday present to their class teacher. If the ratio of contribution of each boy to the contribution of each girl is 12:17, and the total amount collected is Rs. 2560, find the total amount (in Rs) contributed by the boys
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QUESTION 5
A cube of side length 4 cm weighs 16 kg. What is the weight of a similar cube of same material whose side is 75% more than the side the cube?
1. 64 kg
2. 75 kg
3. 85.75 kg
4. 216 kg
Option: 3
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