GATE Practice Question and Answer

Q: When water freezes its density 3961 0

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    decreases
    Correct
    Wrong
  • 2
    remains constant
    Correct
    Wrong
  • 3
    increases
    Correct
    Wrong
  • 4
    become zero
    Correct
    Wrong
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Answer : 1. "decreases"
Explanation :

Answer: A) decreases Explanation: When water freezes its density decreases. Water at ordinary temperatures contracts and increases in density as it is cooled, like most substances. But at about 4°C it reaches a maximum density and then decreases in density as it approaches the freezing point.

Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 3952 0

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    145
    Correct
    Wrong
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    165
    Correct
    Wrong
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    175
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 3. "175"
Explanation :

Answer: C) 175 Explanation: Given that,  working days = 5  working hours = 8  A man get rupess per hour is Rs.2.40  So in one day the man get total rupees is 2.40 x 8 = 19.2  So in 5 days week the man get total rupees is 19.2 x 5 = 96  So in 4 week the man get total rupees is 96 x 4 = 384  So the man worked for = 160hours in 4 weeks    But given that the man earned Rs.432    Hence remaning money is (432-384 = 48)which is earn by doing overtime work   Overtime hours  = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.

Q: Re-arrange the following sentences into a meaningful paragraph.   ( 3949 0

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    comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers (
    Correct
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    The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger (
    Correct
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    with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate (
    Correct
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    to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.
    Correct
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Answer : 4. "to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore."
Explanation :

Answer: D) FDBGECA Explanation:

Q: What is the next number in the given Number Series? 5, 24, 94, 279, ? 3942 0

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    587
    Correct
    Wrong
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    554
    Correct
    Wrong
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    489
    Correct
    Wrong
  • 4
    499
    Correct
    Wrong
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Answer : 2. "554"
Explanation :

Answer: B) 554 Explanation: The given number series follows a pattern that 5 x 5 – 1 = 24 24 x 4 – 2 = 94 94 x 3 – 3 = 279 279 x 2 – 4 = 554

Q: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is : 3941 0

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    8/39
    Correct
    Wrong
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    15/39
    Correct
    Wrong
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    12/13
    Correct
    Wrong
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    None of these
    Correct
    Wrong
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Answer : 2. "15/39"
Explanation :

Answer: B) 15/39 Explanation: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)     = 1-16C1× 14C1×12C1×10C116C4=1539

Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3931 0

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    1:3
    Correct
    Wrong
  • 2
    2:1
    Correct
    Wrong
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    3:2
    Correct
    Wrong
  • 4
    2:3
    Correct
    Wrong
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Answer : 3. "3:2"
Explanation :

Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.

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Answer : 4. "2834"
Explanation :

Answer: D) 2834 Explanation: Let the total number of votes polled in the election be 100k.Number of valid votes = 100k - 20% (100k) = 80kLet the number of votes polled in favour of K and L be a and b respectively.a - b = 15% (100k) => a = b + 15k=> a + b = b + 15k + bNow, 2b + 15k = 80k and hence b = 32.5kIt is given that 100k = 872032.5k = 32.5k/100k x 8720 = 2834 The number of valid votes polled in favour of L is 2834.

Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3927 0

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    14th
    Correct
    Wrong
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    16th
    Correct
    Wrong
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    18th
    Correct
    Wrong
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    20th
    Correct
    Wrong
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Answer : 3. "18th"
Explanation :

Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.

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