GATE Practice Question and Answer
8Q: Deepa started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Sushma joined her with an amount of Rs.70,000. Deepa invested another Rs. 20,000 in 2011 and Avanthi joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Sushma's share ? 4344 05b5cc72ce4d2b4197774f750
5b5cc72ce4d2b4197774f750- 1Rs. 75,000false
- 2Rs. 85,000false
- 3Rs. 98,000false
- 4Rs. 1,00,000true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Rs. 1,00,000"
Explanation :
Answer: D) Rs. 1,00,000 Explanation: Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 monthsAnd, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months. Their investing ratio:Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1 Total profit for 3 years = Rs.3,00,000Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.
Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4343 05b5cc75ee4d2b4197774fcb1
5b5cc75ee4d2b4197774fcb1- 16:31false
- 211:30false
- 37:30true
- 431:6false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "7:30"
Explanation :
Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30 Therefore, the ratio is 7 : 30
Q: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4338 05b5cc6e2e4d2b4197774ec5c
5b5cc6e2e4d2b4197774ec5c- 142true
- 254false
- 346false
- 458false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "42"
Explanation :
Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.
Q: 194, 194, 191, 183, 168, ? Find the next number in the above series? 4321 05b5cc6bce4d2b4197774d872
5b5cc6bce4d2b4197774d872- 1154false
- 2156false
- 3144true
- 4143false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "144"
Explanation :
Answer: C) 144 Explanation: Here the series follows, 194 194 - (1x1 - 1) = 194 194 - (2x2 - 1) = 191 191 - (3x3 - 1) = 183 183 - (4x4 - 1) = 168 168 - (5x5 - 1) = 144
Q: The number of ways in which 8 distinct toys can be distributed among 5 children? 4319 05b5cc699e4d2b4197774c700
5b5cc699e4d2b4197774c700- 15P8false
- 25^8true
- 38P5false
- 48^5false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "5^8"
Explanation :
Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys. Hence, it is 58 and not 85.
Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4314 05b5cc6bde4d2b4197774d8de
5b5cc6bde4d2b4197774d8de- 1A gain of Rs. 27false
- 2A loss of Rs. 37true
- 3A loss of Rs. 27false
- 4A gain of Rs. 37false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "A loss of Rs. 37"
Explanation :
Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is: 64 − 27 = 37 A loss of Rs.37
Q: Which of these is not a simple machine? 4313 15b5cc607e4d2b4197774b55e
5b5cc607e4d2b4197774b55e- 1a pair of scissorstrue
- 2a leverfalse
- 3a rampfalse
- 4the pulleyfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "a pair of scissors"
Explanation :
Answer: A) a pair of scissors Explanation: Any of the basic mechanical devices for applying a force are called simple machines. There are 6 basic simple machines; the lever, the wheel and axle, the inclined plane, the wedge, the pulley, and the screw. Several of these simple machines are related to each other. But, each has a specific purpose in the world of doing work.
Q: One Word substitute : Extreme old age when a man behaves like a fool 4306 05b5cc6d8e4d2b4197774e787
5b5cc6d8e4d2b4197774e787- 1Superannuationfalse
- 2Imbecilityfalse
- 3Senilityfalse
- 4Dotagetrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Dotage"
Explanation :
Answer: D) Dotage Explanation:

