GATE Practice Question and Answer
8Q: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 2999 05b5cc6d7e4d2b4197774e6f6
5b5cc6d7e4d2b4197774e6f6- 1Rs. 316true
- 2Rs. 251false
- 3Rs. 154false
- 4Rs. 294false
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Answer : 1. "Rs. 316"
Explanation :
Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.
Q: A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ? 2995 05b5cc74ae4d2b4197774fab3
5b5cc74ae4d2b4197774fab3- 1487false
- 2585true
- 3635false
- 4705false
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Answer : 2. "585"
Explanation :
Answer: B) 585 Explanation: The smallest possible number of books = L.C.M of 5, 9 and 13.Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.
Q: A shop keeper sells an article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 he earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage? 2993 05b5cc62ae4d2b4197774b89f
5b5cc62ae4d2b4197774b89f- 12.5%false
- 25%false
- 310%true
- 47.5%false
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Answer : 3. "10%"
Explanation :
Answer: C) 10% Explanation: According to the given data, Let Cost price of the article be 'cp' Then, 102.25 cp - 92 cp = 164 x 100 10.25 cp = 16400 cp = 1600 Now, if he sells at Rs. 1760 Profit = 1760 - 1600 = 160 Profit% = 160/1600 x 100 = 10%.
Q: What is the ratio of 18 minutes to one hour ? 2993 05b5cc6bfe4d2b4197774da24
5b5cc6bfe4d2b4197774da24- 11/5false
- 23/4false
- 31/7false
- 43/10true
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Answer : 4. "3/10"
Explanation :
Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10
Q: A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ? 2992 05b5cc761e4d2b4197774fd11
5b5cc761e4d2b4197774fd11- 1155 degreesfalse
- 2175 degreesfalse
- 3205 degreesfalse
- 4215 degreestrue
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Answer : 4. "215 degrees"
Explanation :
Answer: D) 215 degrees Explanation: The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.
Q: Size of the primary memory of a pc ranges between 2990 05b5cc694e4d2b4197774c4a2
5b5cc694e4d2b4197774c4a2- 1256 kb to 640 kbtrue
- 264 kb to 256 kbfalse
- 3256 kb to 512 kbfalse
- 42 kb to 8 kbfalse
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Answer : 1. "256 kb to 640 kb"
Explanation :
Answer: A) 256 kb to 640 kb Explanation: Size of the primary memory of a PC ranges between 256 KB to 640 KB.
Q: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is ? 2980 05b5cc6d8e4d2b4197774e778
5b5cc6d8e4d2b4197774e778- 163false
- 231true
- 316false
- 427false
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Answer : 2. "31"
Explanation :
Answer: B) 31 Explanation: To get the least number of coconuts :LCM = 30 => 30 + 1 = 31
Q: If selling price is doubled, the profit triples. Find the profit percent ? 2979 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
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Answer : 1. "100%"
Explanation :
Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%