CAT Practice Question and Answer
8Q: A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ? 1637 05b5cc720e4d2b4197774f62c
5b5cc720e4d2b4197774f62c- 12 hrs 50 minfalse
- 23 hrs 25 minfalse
- 33 hrstrue
- 42 hrs 5 minfalse
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Answer : 3. "3 hrs"
Explanation :
Answer: C) 3 hrs Explanation: Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.Balance by the distance,1 x t = (6/7)(t + 30)7t = 6(t + 30)we get t as,t = 180 minutes = 3 hrs.
Q: Evaluate : 3.392-2.6123.39-2.69? 1637 05b5cc728e4d2b4197774f700
5b5cc728e4d2b4197774f700- 13false
- 24false
- 36true
- 41false
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Answer : 3. "6"
Explanation :
Answer: C) 6 Explanation: It is in the form of a2-b2a-b = a+ba-ba-b = a+b Here a = 3.39 b = 2.61 = 3.39 + 2.61 = 6.
Q: Solve the MathPuzzle Challenge ? 1637 05b5cc6c6e4d2b4197774ddff
5b5cc6c6e4d2b4197774ddff- 14!false
- 25!false
- 36!false
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined Explanation: NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions. And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions. Therefore, Can't be determined.
Q: A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ? 1637 05b5cc723e4d2b4197774f677
5b5cc723e4d2b4197774f677- 1Rs. 185false
- 2Rs. 154false
- 3Rs. 200true
- 4Rs. 177false
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Answer : 3. "Rs. 200"
Explanation :
Answer: C) Rs. 200 Explanation: Let the C.P be 'x'Then, the selling price S.P = x - 16x/100= 84x/100 = 21x/25Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100=> 114x/100 - 21x/25 = 60=> (57 - 42)x/50 = 60=> 15x/50 = 60x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200
Q: What should come in place of x in the following equation? x128 = 162x 1636 05b5cc6bee4d2b4197774d9ab
5b5cc6bee4d2b4197774d9ab- 113false
- 212true
- 317false
- 416false
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Answer : 2. "12"
Explanation :
Answer: B) 12 Explanation: x128 = 162x Then x2 = 162x128 = Sqrt of 82 x 62 x 32 = 8 x 6 x 3 x2 = 144. x = 12.
Q: At a game of billiards, A can give B 20 points in 60 and A can give C 15 points in 60. How many points can C give B in a game of 90 ? 1636 05b5cc723e4d2b4197774f69a
5b5cc723e4d2b4197774f69a- 19 pointsfalse
- 210 pointstrue
- 311 pointsfalse
- 48 pointsfalse
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Answer : 2. "10 points"
Explanation :
Answer: B) 10 points Explanation: a:b = 60:40a:c = 60:45c/a x a/b = 45/60 x 60/40 = 45/40 = 90/80So C gives B => 10 points.
Q: China and Pakistan air forces have launched _________ joint air exercise in China. 1636 05b5cc6c6e4d2b4197774de13
5b5cc6c6e4d2b4197774de13- 1Black Flagfalse
- 2Desert Eaglefalse
- 3Red Flagfalse
- 4Shaheentrue
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Answer : 4. "Shaheen"
Explanation :
Answer: D) Shaheen Explanation: The air forces of China and Pakistan began a joint training exercise SHAHEEN and deployed their latest fighter jets and AWACS aircraft.
Q: The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ? 1635 05b5cc75ee4d2b4197774fcd4
5b5cc75ee4d2b4197774fcd4- 11:3false
- 22:3true
- 33:2false
- 43:1false
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Answer : 2. "2:3"
Explanation :
Answer: B) 2:3 Explanation: Let number of boys = x , Let number of girls = yTotal numbers of students = x + y(x + y) × 15.8 = 16.4x + 15.4y 0.6x = 0.4yx/y = 0.4/0.6 = 2/3 Ratio of boys and girls in the class is 2:3