GATE Practice Question and Answer
8Q: Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ? 853 05b5cc6f8e4d2b4197774f07c
5b5cc6f8e4d2b4197774f07c- 1180/14 min past 10false
- 2180/11 min past 9true
- 3148/7 min past 10false
- 4154/11 min past 9false
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Answer : 2. "180/11 min past 9"
Explanation :
Answer: B) 180/11 min past 9 Explanation: At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.So, the minute hand should gain = (30 - 15) minutes = 15 minutes55 minutes will be gained in 60 min.15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.
Q: Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ? 1461 05b5cc6f8e4d2b4197774f06d
5b5cc6f8e4d2b4197774f06d- 184 yrsfalse
- 296 yrsfalse
- 3116 yrsfalse
- 4108 yrstrue
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Answer : 4. "108 yrs"
Explanation :
Answer: D) 108 yrs Explanation: Let the present ages of the mother and daughter be 2x and x years respectively. Then, (2x - 18) = 3(x - 18) => x = 36 Required sum = (2x + x) = 108 years.
Q: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1000 05b5cc6f8e4d2b4197774f072
5b5cc6f8e4d2b4197774f072- 128false
- 219false
- 337false
- 417true
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Answer : 4. "17"
Explanation :
Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17
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 ? 3120 05b5cc6f8e4d2b4197774f068
5b5cc6f8e4d2b4197774f068- 114thfalse
- 216thfalse
- 318thtrue
- 420thfalse
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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.
Q: If L exceeds K by 30%, then K is less than L by ? 1290 05b5cc6f8e4d2b4197774f05e
5b5cc6f8e4d2b4197774f05e- 114 2/5 %false
- 223 1/3 %true
- 320 %false
- 416 %false
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Answer : 2. "23 1/3 %"
Explanation :
Answer: B) 23 1/3 % Explanation: K = 100 L = 130130------ 30100------- ? => 23 1/13 %
Q: If every seconds Saturday and all Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month ? (Month starts from Saturday) 1279 05b5cc6f8e4d2b4197774f054
5b5cc6f8e4d2b4197774f054- 125false
- 222false
- 324false
- 423true
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Answer : 4. "23"
Explanation :
Answer: D) 23 Explanation: As month begins on Saturday, so 2nd, 9th, 16th, 23rd, 30th days will be Sundays. While 8th and 22nd days are second Saturdays. Thus, there are 7 holidays in all. Hence, no. of working days = 30 – 7 =23
Q: If the positions of the first and the third digit within each number are interchanged, which of the following will be the third digit of the second lowest number ? 987, 514, 658, 487, 404, 269 4219 05b5cc6f8e4d2b4197774f01d
5b5cc6f8e4d2b4197774f01d- 18false
- 29false
- 32false
- 44true
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Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: According to the question, after the position of the first and third digit interchanged new numbers are 789, 415, 856, 784, 404, 962 962, 856, 789, 784, 404, 415Here the second lowest number is 404 and the last digit of it is '4'.
Q: Complete the missing number in the given series. 5, 20, 76, (—), 448 3183 05b5cc6f4e4d2b4197774f009
5b5cc6f4e4d2b4197774f009- 1185false
- 2225true
- 3415false
- 4232false
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Answer : 2. "225"
Explanation :
Answer: B) 225 Explanation: The series follows the following pattern 5 X 5 – 5 = 20 20 X 4 – 4 = 76 76 X 3 – 3 = 225 225 X 2 – 2 = 448 Hence, the term 225 denoted by (d) completes the series