GATE Practice Question and Answer
8Q: Second and third class levers are differentiated by 1775 05b5cc611e4d2b4197774b67d
5b5cc611e4d2b4197774b67d- 1the location of the loadtrue
- 2the location of the fulcrumfalse
- 3the presence of multiple loadsfalse
- 4the type of fulcrum presentfalse
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Answer : 1. "the location of the load"
Explanation :
Answer: A) the location of the load Explanation:
Q: Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them? a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7. b. Pranay's share in the profit is Rs. 8750. 1775 05b5cc767e4d2b4197774fe31
5b5cc767e4d2b4197774fe31- 1Only a is sufficientfalse
- 2Neither a nor b is sufficientfalse
- 3Only b is sufficientfalse
- 4Both a and b sufficienttrue
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Answer : 4. "Both a and b sufficient"
Explanation :
Answer: D) Both a and b sufficient Explanation: Given Pranay's profit in the share is Rs. 8750 But given that their investments are in the ratio 2:4:7 713×P = 8750 P = 16250 Now Anand's share = 413×16250 = Rs.5000 Thus both staements a and b are sufficient to answer this question.
Q: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is: 1773 05b5cc6bce4d2b4197774d8d4
5b5cc6bce4d2b4197774d8d4- 121 yrstrue
- 227 yrsfalse
- 329 yrsfalse
- 431 yrsfalse
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Answer : 1. "21 yrs"
Explanation :
Answer: A) 21 yrs Explanation: Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years Age of husband = 81 - 60 = 21 years.
Q: In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together? 1773 05b5cc69de4d2b4197774c919
5b5cc69de4d2b4197774c919- 11440false
- 2720false
- 32250false
- 43600true
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Answer : 4. "3600"
Explanation :
Answer: D) 3600 Explanation: Given word is THERAPY. Number of letters in the given word = 7 These 7 letters can be arranged in 7! ways. Number of vowels in the given word = 2 (E, A) The number of ways of arrangement in which vowels come together is 6! x 2! ways Hence, the required number of ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together = 7! - (6! x 2!) ways = 5040 - 1440 = 3600 ways.
Q: How is my father's mother's only daughter-in-law's daughter's father related to me ? 1773 05b5cc6e3e4d2b4197774ec9d
5b5cc6e3e4d2b4197774ec9d- 1Son-in-lawfalse
- 2Unclefalse
- 3Sonfalse
- 4Fathertrue
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Answer : 4. "Father"
Explanation :
Answer: D) Father Explanation: My fahter's mother's only daughter-in-law is my father's wife i.e. my mother. My mother's daughter is my sister. My sister's father is my father.
Q: 25 : 37 :: 49 : ? 1773 05b5cc632e4d2b4197774b9a9
5b5cc632e4d2b4197774b9a9- 165true
- 269false
- 379false
- 481false
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Answer : 1. "65"
Explanation :
Answer: A) 65 Explanation: Here the given numbers are related in such a manner that, 52 = 255+12 + 1 = 37Similarly, 72 = 497+12 + 1 = 64 + 1 = 65 Hence, 25 : 37 :: 49 : 65.
Q: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is ? 1772 05b5cc6e2e4d2b4197774ec25
5b5cc6e2e4d2b4197774ec25- 13 yearsfalse
- 24 yearstrue
- 32.5 yearsfalse
- 42 yearsfalse
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Answer : 2. "4 years"
Explanation :
Answer: B) 4 years Explanation: P1+20100n > 2P Now, (6/5 x 6/5 x 6/5 x 6/5) > 2. So, n = 4 years.
Q: If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ? 1771 05b5cc6dee4d2b4197774ea46
5b5cc6dee4d2b4197774ea46- 14:3true
- 22:3false
- 33:2false
- 45:3false
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Answer : 1. "4:3"
Explanation :
Answer: A) 4:3 Explanation: Let the numbers be p & q q-p/4 = 4q/6 => q-4q/6 = p/4 => 2q/6 = p/4 => p/q = 4/3