GATE Practice Question and Answer
8Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1464 05b5cc754e4d2b4197774fb9f
5b5cc754e4d2b4197774fb9f- 130,400true
- 230,200false
- 334,600false
- 438,400false
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Answer : 1. "30,400"
Explanation :
Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms nn+12 Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.
Q: Watson bought a book for Rs. 240 and sold to Johny at a profit of 50%. Johny wants to sell this book to Shekar so that he earns a profit of 25%. But Shekar is adamant at buying this book at a discount of 10%. What marked price should Johny quote to Shekar so as to achieve desired profit ? 1463 05b5cc6cae4d2b4197774e040
5b5cc6cae4d2b4197774e040- 1Rs. 450false
- 2Rs. 360false
- 3Rs. 415false
- 4Rs. 500true
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Answer : 4. "Rs. 500"
Explanation :
Answer: D) Rs. 500 Explanation: Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%. S.P = C.P(1 + P%/100) => S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360 Let Johny quoted the marked price of the book as Rs. M We know, SP = M.P(1 - Discount(%)/100) Here discount = 10% to Shekar, S.P for Johny = M(1 - 10/100) = 0.9M But Johny want to earn 25% profit, => S.P = C.P(1 + P%/100) => 0.9M = 360(1 + 25/100) => M = (360x1.25)/0.9 => M = Rs. 500 Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.
Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1462 05b5cc6dfe4d2b4197774eac6
5b5cc6dfe4d2b4197774eac6- 1476190476false
- 248617false
- 347619true
- 44587962false
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Answer : 3. "47619"
Explanation :
Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619 333333---------------- 0 And 476190476 x 7 = 3333333333 but smallest number is 47619.
Q: What should be replaced in the place of '?' in the following series ? JAK, KBL, LCM, MDN, ? 1462 05b5cc764e4d2b4197774fd9e
5b5cc764e4d2b4197774fd9e- 1MENfalse
- 2NEMfalse
- 3NEOtrue
- 4OEPfalse
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Answer : 3. "NEO"
Explanation :
Answer: C) NEO Explanation: This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.
Q: Find the compound interest on Rs. 2680 at 8% per annum for 2 years ? 1462 05b5cc6b4e4d2b4197774d4de
5b5cc6b4e4d2b4197774d4de- 1Rs. 664.21false
- 2Rs. 548.68false
- 3Rs. 445.95true
- 4Rs. 692.57false
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Answer : 3. "Rs. 445.95"
Explanation :
Answer: C) Rs. 445.95 Explanation: We know Compound Interest = C.I. = P1+r100t - 1 Here P = 2680, r = 8 and t = 2 C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225 = (2680 x 52 x 2)/625 = 445.95 Compound Interest = Rs. 445.95
Q: A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 1461 05b5cc6c5e4d2b4197774dddc
5b5cc6c5e4d2b4197774dddc- 177%false
- 288%false
- 3100%true
- 499%false
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Answer : 3. "100%"
Explanation :
Answer: C) 100% Explanation:
Q: A is sister of B who is mother of C who is mother of D. E is the grand mother of D. Then how C is related to E ? 1461 05b5cc6e5e4d2b4197774ed60
5b5cc6e5e4d2b4197774ed60- 1Sisterfalse
- 2Daughterfalse
- 3Motherfalse
- 4Daughter-in-lawtrue
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Answer : 4. "Daughter-in-law"
Explanation :
Answer: D) Daughter-in-law Explanation: GM GMA ---- B ---- E | | C | | D (Grand son or daughter)
Q: If 35% of a number is 24 less than 50% of that number, then the number is ? 1460 05b5cc6e1e4d2b4197774eba2
5b5cc6e1e4d2b4197774eba2- 180false
- 2160true
- 3100false
- 4120false
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Answer : 2. "160"
Explanation :
Answer: B) 160 Explanation: Let the number be n. Then, 50% of n - 35% of n = 24 50/100 n - 35/100 n = 24 n = (24 x 100)/15 = 160.

