GATE Practice Question and Answer
8Q: What value will come in place of question mark (?) in the number - series given below ? 4, 30, ?, 1440, 7195, 71940 1415 05b5cc6c4e4d2b4197774dca9
5b5cc6c4e4d2b4197774dca9- 1145true
- 2545false
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Answer : 1. "145"
Explanation :
Answer: A) 145 Explanation: 4 30 ? 1440 7195 71940 Here the given series follows a pattern of 4 4 x 10 - 10 = 30 30 x 5 - 5 = 145 145 x 10 - 10 = 1440 1440 x 5 - 5 = 7195 7195 x 10 - 10 = 71940 Hence, the missing number is 145
Q: The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. 1457 05b5cc6c4e4d2b4197774dc90
5b5cc6c4e4d2b4197774dc90- 1Only statement A is requiredtrue
- 2Only statement B is requiredfalse
- 3Both A & B are requiredfalse
- 4Neither (false
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Answer : 1. "Only statement A is required"
Explanation :
Answer: A) Only statement A is required Explanation: From statement (A), 20b = (1/2) × b × h h = 40 cm.
Q: One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ? 1166 05b5cc6c3e4d2b4197774dc8b
5b5cc6c3e4d2b4197774dc8b- 1550false
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Answer : 4. "700"
Explanation :
Answer: D) 700 Explanation: Let number of boys = B Number of girls = G From the given data, 1B/3 + 1G/2 = 300 But given B/3 = 100 => B = 300 G/2 = 300 - 100 G = 200 x 2 => G = 400 Therefore, total number of students in the college = B + G = 700.
Q: A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ? 1298 05b5cc6c3e4d2b4197774dc86
5b5cc6c3e4d2b4197774dc86- 188.01 litfalse
- 287.48 littrue
- 387.51 litfalse
- 487.62 litfalse
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Answer : 2. "87.48 lit"
Explanation :
Answer: B) 87.48 lit Explanation: For these type of problems, Quantity of Diesel remained = q1-pqn Here p = 12 , q = 120 => 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.
Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 3148 05b5cc6c3e4d2b4197774dc63
5b5cc6c3e4d2b4197774dc63- 14 hrs 10 minfalse
- 23 hrs 15 minfalse
- 33 hrs 30 mintrue
- 44 hrs 1 minfalse
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Answer : 3. "3 hrs 30 min"
Explanation :
Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.
Q: At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ? 1660 05b5cc6c3e4d2b4197774dc54
5b5cc6c3e4d2b4197774dc54- 177false
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Answer : 3. "80"
Explanation :
Answer: C) 80 Explanation: Let marks obtained by S = M R's marks = 0.80M Q's marks = 1.25 (0.80M) P's marks = (0.90) (1.25) (0.80M) = 0.9M But 0.9M = 360 M = ? M = 400 Hence % of marks obtained by S = 400/500 x 100 = 80%.
Q: A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ? 1469 05b5cc6c3e4d2b4197774dc4f
5b5cc6c3e4d2b4197774dc4f- 1105true
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Answer : 1. "105"
Explanation :
Answer: A) 105 Explanation: Let number of pages in a book = p According to questions p - [3p/7 + (2/5 x 4p/7)] = 36 = p - 23p/35 = 36 => 12p = 36 × 35 p = 105
Q: A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1206 05b5cc6c3e4d2b4197774dc27
5b5cc6c3e4d2b4197774dc27- 1202 mtsfalse
- 2188 mtsfalse
- 3165 mtstrue
- 4156 mtsfalse
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Answer : 3. "165 mts"
Explanation :
Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.