GATE प्रश्न और उत्तर का अभ्यास करें

प्र: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4671 0

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    42
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  • 2
    54
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  • 3
    46
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  • 4
    58
    सही
    गलत
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उत्तर : 1. "42"
व्याख्या :

Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.

प्र: Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ? 4671 0

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    10
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  • 2
    18
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  • 3
    12
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  • 4
    15
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उत्तर : 1. "10"
व्याख्या :

Answer: A) 10 Explanation: Given total rupees = 20 RsNo. of one rupee stamps = 3Now, remaining money = Rs. 17With that he buys only 2 and 5 rupee stampsLet number of Rs. 5 stamps = KLet number of Rs. 2 stamps = L5K + 2L = 17K = 3, L = 1 (possible)L = 6, K = 1 (possible)=> But given that they are different in number so, K is not equal to 3one rupee stamps = 32 two stamps = 65 rupee stamps = 1Total number of stamps = 10.

प्र: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4670 0

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    3 km/hr
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    4 km/hr
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  • 3
    5 km/hr
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  • 4
    6 km/hr
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उत्तर : 2. "4 km/hr"
व्याख्या :

Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, P is faster than Q,   so P's speed = 4 km/hr and Q's speed = 3 km/hr.

प्र: "Good Samaritan Policy" has been launched by which state / union territory government? 4642 0

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    Delhi
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  • 2
    Karnataka
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  • 3
    Telangana
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  • 4
    Gujarath
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उत्तर : 1. "Delhi"
व्याख्या :

Answer: A) Delhi Explanation: The Delhi government has recently approved 'Good Samaritan Policy' under which monetary incentive of Rs 2,000 and appreciation certificate will be given to people who help road accident victims in the national capital. The scheme is intended to encourage people to take accident victims in emergency situation to hospitals so that someone’s life could be saved.

प्र: What word in the English language is always spelled incorrectly? 4632 0

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    Schezwan
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    Yorker
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    Incorrectly
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  • 4
    Psycologically
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उत्तर : 3. "Incorrectly"
व्याख्या :

Answer: C) Incorrectly Explanation: INCORRECTLY is the only English word which is always spelled incorrectly.

प्र: If a soldier fires 7 shots from a gun in 12 minutes then find the total number of shots fired by the man in 3/2 hrs. 4618 0

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    45
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  • 2
    44
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  • 3
    46
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  • 4
    47
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उत्तर : 3. "46"
व्याख्या :

Answer: C) 46 Explanation: Here given soldier shots 7 shots in 12 min => 1 shot doen't take any time in 12 min  => Only 6 shots take 12 min  12 min ------ 6 shots  90 min ------ ? shots  => 90 x (6/12) = 45  Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.

प्र: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4615 0

  • 1
    6:31
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  • 2
    11:30
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  • 3
    7:30
    सही
    गलत
  • 4
    31:6
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    गलत
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उत्तर : 3. "7:30"
व्याख्या :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

प्र: The number of ways in which 8 distinct toys can be distributed among 5 children? 4610 0

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    5P8
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  • 2
    5^8
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  • 3
    8P5
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  • 4
    8^5
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उत्तर : 2. "5^8"
व्याख्या :

Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.   Hence, it is 58 and not 85.

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