CAT Practice Question and Answer
8Q: 125 over 1000 in Simplest Form? 1872 05b5cc6abe4d2b4197774d034
5b5cc6abe4d2b4197774d034- 12/9false
- 21/8true
- 33/8false
- 44/7false
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Answer : 2. "1/8"
Explanation :
Answer: B) 1/8 Explanation: 125 over 1000 in Simplest Form means 1251000 in its simple fraction form. Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000. HCF of 125, 1000 = 125 Then, divide both numerator and denominator by 125 i.e, 1251251000125 = 18 Hence, 18 is the simplest form of 125 over 1000.
Q: A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal. 1872 05b5cc6b6e4d2b4197774d59e
5b5cc6b6e4d2b4197774d59e- 131.8%false
- 231%false
- 333.33%true
- 429.85%false
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Answer : 3. "33.33%"
Explanation :
Answer: C) 33.33% Explanation: Now, take percentage of milk and applying mixture rule 25 100 50 50 25 = 2 : 1 Hence required answer = 1/3 or 33.33%
Q: What is the Formula for Volume? 1872 05b5cc6b8e4d2b4197774d693
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Answer :
Explanation :
The formula to find the volume is given by just multiplying Length, Breadth and Height of that object. Thus, V = L x B X H Volume Formulae : 1. Volume of Cube of side 's' = s x s x s = s3 cubic units. 2. Volume of Cylinder = πR2h cubic units. [Where R is Radius and h is height]
Q: If the price of diesel increases by 25% and Karthik intends to spend only an additional 15% on diesel, by how much % will he reduce the quantity of diesel purchased ? 1872 05b5cc6d3e4d2b4197774e4a5
5b5cc6d3e4d2b4197774e4a5- 16.67 %false
- 28 %true
- 37.41 %false
- 49 %false
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Answer : 2. "8 %"
Explanation :
Answer: B) 8 % Explanation: Let the price of 1 litre of diesel be Rs.x and let Karthik initially buy 'y' litres of diesel. Therefore, he would have spent Rs. xy on diesel. When the price of diesel increases by 25%, the new price per litre of diesel is 1.25x. Karthik intends to increase the amount he spends on diesel by 15%.i.e., he is willing to spend xy + 15% of xy = 1.15xy Let the new quantity of diesel that he can get be 'q'.Then, 1.25x x q = 1.15xyOr q = (1.15/1.25)y = 0.92y. As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier. Or a reduction of 8%.
Q: A Caste system is defined as 1872 05b5cc6a0e4d2b4197774ca66
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Answer :
Explanation :
A caste system is a social structure or a class structure in which classes are determined by heredity, that is determined by birth. Loosely, it means that in some societies, if your parents are poor, you’re going to be poor, too. Same goes for being rich if you’re a glass-half-full person.
Q: The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased ? 1872 05b5cc6c6e4d2b4197774de18
5b5cc6c6e4d2b4197774de18- 190%true
- 288%false
- 385%false
- 484%false
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Answer : 1. "90%"
Explanation :
Answer: A) 90% Explanation: Let length, breadth and height of the room be 7, 3, 1 unit respectively. Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit. Now, length, breadth and height of room will become 3.5, 6 and 2 respectively. Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit. % Increase in the area of walls = (38-20)x100/20 = 90%.
Q: World Population Day is observed on ____ ? 1871 05b5cc6d1e4d2b4197774e3e8
5b5cc6d1e4d2b4197774e3e8- 19 Julyfalse
- 211 Julyfalse
- 315 Julytrue
- 44 Julyfalse
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Answer : 3. "15 July"
Explanation :
Answer: C) 15 July Explanation: World Population day is an annual event, observed on July 11 every year, which seeks to raise awareness of global population issues.
Q: How many six digit odd numbers can be formed from the digits 0, 2, 3, 5, 6, 7, 8, and 9 (repetition not allowed)? 1871 05b5cc6b7e4d2b4197774d5f2
5b5cc6b7e4d2b4197774d5f2- 18640true
- 2720false
- 33620false
- 44512false
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Answer : 1. "8640"
Explanation :
Answer: A) 8640 Explanation: Let the 6 digits of the required 6 digit number be abcdef Then, the number to be odd number the last digit must be odd digit i.e 3, 5, 7 or 9 The first digit cannot be ‘0’ => possible digits = 3, 5, 7, 2, 6, 8 Remaining 4 places can be of 6 x 5 x 4 x 3 ways This can be easily understood by Therefore, required number of ways = 6 x 6 x 5 x 4 x 3 x 4 = 36 x 20 x 12 = 720 x 12 = 8640 ways.

