GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1134 05b5cc6c5e4d2b4197774dde6
5b5cc6c5e4d2b4197774dde6- 142false
- 244true
- 353false
- 456false
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उत्तर : 2. "44"
व्याख्या :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44
प्र: Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ? 1382 05b5cc6c5e4d2b4197774dde1
5b5cc6c5e4d2b4197774dde1- 11:3false
- 22:1false
- 33:4true
- 44:7false
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उत्तर : 3. "3:4"
व्याख्या :
Answer: C) 3:4 Explanation:
प्र: A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ? 2048 05b5cc6c5e4d2b4197774ddd7
5b5cc6c5e4d2b4197774ddd7- 1Rs. 450false
- 2Rs. 1020false
- 3Rs. 765false
- 4Rs. 1530true
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उत्तर : 4. "Rs. 1530"
व्याख्या :
Answer: D) Rs. 1530 Explanation: Ratio of investments of A, B & C => Share of C = 1530 Share of B = 765 Share of A = 1020
प्र: 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 ? 1462 05b5cc6c5e4d2b4197774dddc
5b5cc6c5e4d2b4197774dddc- 177%false
- 288%false
- 3100%true
- 499%false
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उत्तर : 3. "100%"
व्याख्या :
Answer: C) 100% Explanation:
प्र: Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ? 1597 05b5cc6c5e4d2b4197774ddc3
5b5cc6c5e4d2b4197774ddc3- 115.84false
- 214.92false
- 313.98false
- 416.38true
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उत्तर : 4. "16.38"
व्याख्या :
Answer: D) 16.38 Explanation: Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg. Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25) => Total cost of the mixture = Rs. 630 Total kgs of the mixture = 30 + 20 = 50kg Cost of mixture/kg = 630/50 = 12.6/kg To make 30% of profit => Selling price for manideep = 12.6 + 30% x 12.6 => Selling price for manideep = 12.6 + 3.78 = 16.38/kg.
प्र: There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ? 8709 05b5cc6c5e4d2b4197774ddc8
5b5cc6c5e4d2b4197774ddc8- 1111:108false
- 211:9true
- 3103:72false
- 4Nonefalse
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उत्तर : 2. "11:9"
व्याख्या :
Answer: B) 11:9 Explanation: From the given data, The part of honey in the first mixture = 1/4 The part of honey in the second mixture = 3/4 Let the part of honey in the third mixture = x Then, 1/4 3/4 x (3/4)-x x-(1/4) Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3 => 34-xx-14=23 => Solving we get the part of honey in the third mixture as 11/20 => the remaining part of the mixture is water = 9/20 Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .
प्र: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1595 05b5cc6c5e4d2b4197774ddbe
5b5cc6c5e4d2b4197774ddbe- 114/33true
- 214/55false
- 312/55false
- 413/33false
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उत्तर : 1. "14/33"
व्याख्या :
Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 = 12×11/2×1 = 66 Let n(E) = number of events of selecting 2 chairs for selecting no white chairs. => 8C2 = 8×7/2×1 = 28 Therefore required probability = 28/66 = 14/33.
प्र: Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ? 1546 05b5cc6c5e4d2b4197774ddb9
5b5cc6c5e4d2b4197774ddb9- 1Rs.6000false
- 2Rs.4500false
- 3Rs.7500false
- 4Rs.5000true
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उत्तर : 4. "Rs.5000"
व्याख्या :
Answer: D) Rs.5000 Explanation: Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then, As we know: Simple interest (S.I.) = PTR/100 (a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200 = 10a + 12b + 15c = 320000 .........(1) Now, c = 240% of b = 12b/5 .........(2) And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3) From (1), (2) and (3), we have 16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000 ∴ Sum invested in Scheme Y = Rs.5000.