CAT Practice Question and Answer
8Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 2070 05b5cc6a6e4d2b4197774cdd9
5b5cc6a6e4d2b4197774cdd9- 1Rs. 5000true
- 2Rs. 6200false
- 3Rs. 8100false
- 4R. 7600false
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Answer : 1. "Rs. 5000"
Explanation :
Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh = Rs. p = Rs. 5000.
Q: Derivative of sinx by first principle? 2070 05b5cc6abe4d2b4197774d011
5b5cc6abe4d2b4197774d011- 1-sinxfalse
- 2-cosxfalse
- 3cosxtrue
- 4sinxfalse
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Answer : 3. "cosx"
Explanation :
Answer: C) cosx Explanation: Thus, the derivative of sinx by first principle is cosx.
Q: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ? 2070 05b5cc6d8e4d2b4197774e732
5b5cc6d8e4d2b4197774e732- 11.44 %false
- 22.02 %false
- 31.04 %false
- 42.25 %true
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Answer : 4. "2.25 %"
Explanation :
Answer: D) 2.25 % Explanation: SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car. In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (15)(15)/100 % = 2.25%
Q: When referring to student loans what is a grace period? 2069 05b5cc683e4d2b4197774c2c1
5b5cc683e4d2b4197774c2c1- 16 monthstrue
- 212 monthsfalse
- 318 monthsfalse
- 424 monthsfalse
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Answer : 1. "6 months"
Explanation :
Answer: A) 6 months Explanation: 6 months after graduating or quitting school when you have to start paying back the loans. A grace period is one term that’s provided for student loans that allow you to delay payments up to a certain length of time, without penalty. During a grace period no late charges would apply, and the loan would not risk falling into default for missed payments. The grace period allows you time to find financial stability prior to having to make payments on your student loans. Many students use student loans to help pay for their college expenses, including tuition, books, room and board, and other living expenses. Students are expected to repay these loans when they graduate.
Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 2069 05b5cc6abe4d2b4197774d067
5b5cc6abe4d2b4197774d067- 1360 kmsfalse
- 2480 kmstrue
- 3520 kmsfalse
- 4240 kmsfalse
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Answer : 2. "480 kms"
Explanation :
Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.
Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 2069 05b5cc6ade4d2b4197774d0f9
5b5cc6ade4d2b4197774d0f9- 14320true
- 24694false
- 34957false
- 44871false
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Answer : 1. "4320"
Explanation :
Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.
Q: A colour blind person has difficulty in distinguishing which of the two colours ? 2069 05b5cc6cce4d2b4197774e15d
5b5cc6cce4d2b4197774e15d- 1Green & Redtrue
- 2White & Redfalse
- 3Blue & Redfalse
- 4Red & Blackfalse
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Answer : 1. "Green & Red"
Explanation :
Answer: A) Green & Red Explanation:
Q: A certain job was assigned to a group of women to do it in 20 days. But 12 women did not turn up for the job and the remaining did the job in 32 days. The original number of women in the group was? 2069 05b5cc6bae4d2b4197774d794
5b5cc6bae4d2b4197774d794- 136false
- 232true
- 322false
- 428false
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Answer : 2. "32"
Explanation :
Answer: B) 32 Explanation: Let the total women in the group be 'W' Then according to the given data, W x 20 = (W-12) x 32 => W = 32 Therefore, the total number of women in the group = 32