GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 3614 05b5cc745e4d2b4197774fa22
5b5cc745e4d2b4197774fa22- 174true
- 279false
- 372false
- 460false
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उत्तर : 1. "74"
व्याख्या :
Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.
प्र: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ? 3614 05b5cc6d8e4d2b4197774e7bf
5b5cc6d8e4d2b4197774e7bf- 1600true
- 2300false
- 3150false
- 475false
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उत्तर : 1. "600"
व्याख्या :
Answer: A) 600 Explanation: 1/2:1/3:1/4 = 6:4:3 As the difference is 3 => 3/13x2600 = 600
प्र: The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ? 3606 05b5cc741e4d2b4197774f9b8
5b5cc741e4d2b4197774f9b8- 127, 9, 21false
- 29, 21, 27false
- 321, 27, 9false
- 49, 27, 21true
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उत्तर : 4. "9, 27, 21"
व्याख्या :
Answer: D) 9, 27, 21 Explanation: Let Anushka age = XCharu latha 12 yrs older than Anushka so Charu latha age = x+12Kajal is thrice as old as Anushka so Kajal age = 3xThe ages of Anushka, Kajal and Charu latha together are 57 yearsi.e x + (x+12) + 3x = 57=> 5x = 45:- x = 9Anushka age = 9Kajal age = 3x = 27Charu latha age = x+12 = 21
प्र: Suppose today is Friday, what day of the week will it be 65 days from now? 3596 05b5cc69be4d2b4197774c7de
5b5cc69be4d2b4197774c7de- 1Saturdayfalse
- 2Sundaytrue
- 3Fridayfalse
- 4Thursdayfalse
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उत्तर : 2. "Sunday"
व्याख्या :
Answer: B) Sunday Explanation: The day of the week repeats every 7 days. Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days. Hence, Friday is on the 63rd day, as 63 is multiple of 7. Now, the required day of the week on the 65th day is Sunday.
प्र: What will come in place of question mark(?) in the following number series ? 6859 5832 ? 4096 3375 3594 05b5cc6c0e4d2b4197774db1e
5b5cc6c0e4d2b4197774db1e- 14589false
- 24913true
- 35013false
- 45169false
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उत्तर : 2. "4913"
व्याख्या :
Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913
प्र: Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ? 3594 05b5cc6c2e4d2b4197774dba5
5b5cc6c2e4d2b4197774dba5- 117 yearsfalse
- 213 yearstrue
- 314 yearsfalse
- 416 yearsfalse
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उत्तर : 2. "13 years"
व्याख्या :
Answer: B) 13 years Explanation: Given R + S + M + D = 76 => R+7 : S+7 : M+7 : D+7 = 7:6:5:8 => Let the ratio = x => M+7 = 5x => M = 5x-7 => R = 7x-7 => S = 6x-7 => D = 8x-7 => R + S + M + D = 76 => 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76 => 26x - 28 = 76 => 26x = 104 => x = 4 => Mahesh's present age = 5x-7 = 20 - 7 = 13 years.
प्र: Directions: A string of words is fed into a computing machine. It processes the input and gives an output in the following manner: Input: Honesty is the best policy. Step 1: is Honesty the best policy Step 2: is the Honesty best policy Step 3: is the best Honesty policy Step 4: is the best policy Honesty Output: is the best policy Honesty Now, If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps? 3593 05b5cc6bde4d2b4197774d8f2
5b5cc6bde4d2b4197774d8f2- 1Mossfalse
- 2Nofalse
- 3Stonefalse
- 4Atrue
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उत्तर : 4. "A"
व्याख्या :
Answer: D) A Explanation: For the input "A rolling stone gathers no moss", the steps followed are: Step 1: rolling A stone gathers no moss Step 2: rolling stone A gathers no moss Step 3: rolling stone gathers A no moss Step 4: rolling stone gathers no A moss After 4 steps the fifth word is "A".
प्र: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 3585 05b5cc741e4d2b4197774f981
5b5cc741e4d2b4197774f981- 184 yearstrue
- 272 yearsfalse
- 382 yearsfalse
- 464 yearsfalse
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उत्तर : 1. "84 years"
व्याख्या :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84