GATE Practice Question and Answer
8Q: What is the next number of the following sequence ? 21, 77, 165, 285, ...... 2340 05b5cc74ae4d2b4197774fab8
5b5cc74ae4d2b4197774fab8- 1404false
- 2415false
- 3426false
- 4437true
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Answer : 4. "437"
Explanation :
Answer: D) 437 Explanation: The series follow the rule, 21 = 77 = 92-4165 = 132-4285 = 172-4 5,9,13,17,21,(+4)...In the same way next no. will be 212-4 = 441 - 4 = 437
Q: A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ? 2005 05b5cc74ae4d2b4197774fab3
5b5cc74ae4d2b4197774fab3- 1487false
- 2585true
- 3635false
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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: The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ? 1645 05b5cc74ae4d2b4197774faae
5b5cc74ae4d2b4197774faae- 1p timesfalse
- 22p timesfalse
- 3(p + 4) timestrue
- 4(2p + 3) timesfalse
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Answer : 3. "(p + 4) times"
Explanation :
Answer: C) (p + 4) times Explanation: Let the two no's be a and b;Given product of the no's is p = ab;If the each nos is increased by 2 then the new product will be (a+2)(b+2) = ab + 2a + 2b + 4= ab + 2(a+b) + 4= p + 2(a+b) + 4Hence the new product is (p+4) times greater than twice the sum of the two original numbers.
Q: Find the missing number in the given series ? 15, 51, 216, 1100, ?, 46452 3474 05b5cc74ae4d2b4197774faa9
5b5cc74ae4d2b4197774faa9- 15660false
- 26560false
- 36750false
- 46630true
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Answer : 4. "6630"
Explanation :
Answer: D) 6630 Explanation: Let first no. be "k" and multiple be "l"...start value of y with 3then,[(k x y) + {l x (l-1)}]Thus, we get 15 x 3 + 3 x 2 = 5151 x 4 + 4 x 3 = 216216 x 5 + 5 x 4 = 11001100 x 6 + 6 x 5 = 66306630 x 7 + 7 x 6 = 46452 Therefore, the missing number is 6630.
Q: Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ? 4794 05b5cc74ae4d2b4197774faa4
5b5cc74ae4d2b4197774faa4- 124 $false
- 222 $false
- 316 $true
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Answer : 3. "16 $"
Explanation :
Answer: C) 16 $ Explanation: Let the 1 day work of a boy=b and a girl=g, then2b + g = 1/5 ---(i) andb + 2g = 1/6 ---(ii)On solving (i) & (ii), b=7/90, g=2/45As payment of work will be in proportion to capacity of work and a boy is paid $ 28/week, so a girl will be paid 28×245790 = 16 $.
Q: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 2284 05b5cc74ae4d2b4197774fa9f
5b5cc74ae4d2b4197774fa9f- 1Rs. 404false
- 2Rs. 514false
- 3Rs. 340false
- 4Rs. 616true
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Answer : 4. "Rs. 616"
Explanation :
Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.
Q: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? 2388 05b5cc74ae4d2b4197774fa9a
5b5cc74ae4d2b4197774fa9a- 118false
- 214true
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Answer : 2. "14"
Explanation :
Answer: B) 14 Explanation: 1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between themSo minimum no. of boys standing in the queue = 14
Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 2689 05b5cc74ae4d2b4197774fa90
5b5cc74ae4d2b4197774fa90- 1142false
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- 4253true
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Answer : 4. "253"
Explanation :
Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.