GATE Practice Question and Answer
8Q: 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 ? 3595 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: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? 1594 05b5cc6e2e4d2b4197774ec57
5b5cc6e2e4d2b4197774ec57- 12 hrsfalse
- 220 mintrue
- 340 minfalse
- 430 minfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "20 min"
Explanation :
Answer: B) 20 min Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages. Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr. stoppage time = 20/60 hrs = 20 min.
Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ? 3431 05b5cc6e2e4d2b4197774ec52
5b5cc6e2e4d2b4197774ec52- 11 kmphfalse
- 23.2 kmphfalse
- 31.5 kmphtrue
- 42 kmphfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "1.5 kmph"
Explanation :
Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.
Q: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ? 977 05b5cc6e2e4d2b4197774ec4d
5b5cc6e2e4d2b4197774ec4d- 11:2false
- 21:3false
- 33:1false
- 42:1true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "2:1"
Explanation :
Answer: D) 2:1 Explanation: 5M + 2B = 4(1M + 1B) 5M + 2B = 4M + 4B 1M = 2B The required ratio of work done by a man and a boy = 2:1
Q: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ? 4844 05b5cc6e2e4d2b4197774ec48
5b5cc6e2e4d2b4197774ec48- 1Rs. 4082.40true
- 2Rs. 1024.21false
- 3Rs. 2810.6false
- 4Rs. 3214false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 4082.40"
Explanation :
Answer: A) Rs. 4082.40 Explanation: Length of the first carpet = (1.44)(6) = 8.64 cm Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100) = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40
Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ? 1431 05b5cc6e2e4d2b4197774ec3e
5b5cc6e2e4d2b4197774ec3e- 12(6!)false
- 26! x 7false
- 36! x ⁷P₆true
- 4Nonefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "6! x ⁷P₆"
Explanation :
Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆
Q: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 964 05b5cc6e2e4d2b4197774ec39
5b5cc6e2e4d2b4197774ec39- 1Rs. 5858false
- 2Rs. 8800false
- 3Rs. 7000true
- 4Rs. 6350false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "Rs. 7000"
Explanation :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.
Q: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes ? 3604 05b5cc6e2e4d2b4197774ec34
5b5cc6e2e4d2b4197774ec34- 1446false
- 2415false
- 3404false
- 4430true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "430"
Explanation :
Answer: D) 430 Explanation: Let the total number of valid votes be 'V'. 70% of V = 70/100 x V = 7V/10 Number of votes secured by the other candidate = V - 7V/100 = 3V/10 Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172 => 4V = 1720 => V = 430.