GATE प्रश्न और उत्तर का अभ्यास करें

प्र: The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ? 1919 0

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    Rs. 8840
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  • 2
    Rs. 11,500
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  • 3
    Rs. 12,800
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  • 4
    Rs. 9450
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    गलत
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उत्तर : 2. "Rs. 11,500"
व्याख्या :

Answer: B) Rs. 11,500 Explanation: Manager's monthly salary = Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

प्र: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  ? 1703 0

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    215
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  • 2
    268
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  • 3
    254
    सही
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  • 4
    216
    सही
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उत्तर : 1. "215"
व्याख्या :

Answer: A) 215 Explanation: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts = 216 - 1 = 215.

प्र: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ? 4875 0

  • 1
    Rs. 1100
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  • 2
    Rs. 500
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  • 3
    Rs. 1200
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  • 4
    Rs. 700
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उत्तर : 2. "Rs. 500"
व्याख्या :

Answer: B) Rs. 500 Explanation: Let the amounts to be received by P, Q and R be p, q and r.p + q + r = 1200p = 1/2 (q + r) => 2p = q + r Adding 'p' both sides, 3p = p + q + r = 1200=> p = Rs.400 q = 1/3 (p + r) => 3q = p + r Adding 'q' both sides, 4q = p + q + r = 1200=> q = Rs.300 r = 1200 - (p + q) => r = Rs.500.

प्र: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ? 9294 0

  • 1
    4
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  • 2
    10
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  • 3
    8
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  • 4
    5
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उत्तर : 4. "5"
व्याख्या :

Answer: D) 5 Explanation: If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.V - x = A + x --- (1)If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)From (1) we have V - A = 2xSubstituting V - A = 2x in (2)6x = 30 => x = 5.

प्र: Find the odd one out of the group ? 1446 0

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    708
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  • 2
    392
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  • 3
    618
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  • 4
    816
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उत्तर : 2. "392"
व्याख्या :

Answer: B) 392 Explanation: The sum of the digits in 708, 618 and 816 is 15, but not in 392.

प्र: How is my father's brother's only sibling's mother related to my sister's only brother ? 3183 0

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    Neice
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  • 2
    Aunt
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  • 3
    Mother
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  • 4
    Grand-mother
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उत्तर : 4. "Grand-mother"
व्याख्या :

Answer: D) Grand-mother Explanation: My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.

प्र: A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ? 1469 0

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    47
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  • 2
    46
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  • 3
    37
    सही
    गलत
  • 4
    35
    सही
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उत्तर : 3. "37"
व्याख्या :

Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.

प्र: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ? 3953 0

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    18 days
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  • 2
    20 days
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  • 3
    16 days
    सही
    गलत
  • 4
    14 days
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उत्तर : 2. "20 days"
व्याख्या :

Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8  => 50m + 90w = 48w + 96 w    => 1m = 3w 5m + 9w = 5m + 3m = 8m   8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.

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