GATE Practice Question and Answer
8Q: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s ? 3677 05b5cc6dce4d2b4197774e9a1
5b5cc6dce4d2b4197774e9a1- 124%false
- 223 1/3%true
- 325 1/2%false
- 422 8/9 %false
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Answer : 2. "23 1/3%"
Explanation :
Answer: B) 23 1/3% Explanation: y=100 x=130 130---------30100---------? => 23 1/3%
Q: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ? 2052 05b5cc6dce4d2b4197774e997
5b5cc6dce4d2b4197774e997- 15 kmphfalse
- 27 kmphfalse
- 33 kmphfalse
- 44 kmphtrue
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Answer : 4. "4 kmph"
Explanation :
Answer: D) 4 kmph Explanation: Speed of Man = 4.5 kmphSpeed of stream = 1.5 kmphSpeed in DownStream = 6 kmphSpeed in UpStream = 3 kmphAverage Speed = (2 x 6 x 3)/9 = 4 kmph.
Q: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1374 05b5cc6dce4d2b4197774e99c
5b5cc6dce4d2b4197774e99c- 1400 mtrue
- 2300 mfalse
- 3500 mfalse
- 4600 mfalse
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Answer : 1. "400 m"
Explanation :
Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.
Q: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ? 2743 05b5cc6dce4d2b4197774e992
5b5cc6dce4d2b4197774e992- 11102 kmfalse
- 21060 kmfalse
- 3960 kmtrue
- 41250 kmfalse
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Answer : 3. "960 km"
Explanation :
Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km
Q: If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 2692 05b5cc6dce4d2b4197774e98d
5b5cc6dce4d2b4197774e98d- 12 yrsfalse
- 212 yrsfalse
- 318 yrstrue
- 46 yrsfalse
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Answer : 3. "18 yrs"
Explanation :
Answer: C) 18 yrs Explanation: Let Siya's age = x Then Riya's age = 4x But given Riya's age = 24 => 4x = 24 => x = 6 Hence Siya's age = 6 yrs => The age difference = 24 - 6 = 18 yrs.
Q: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ? 1544 05b5cc6dce4d2b4197774e983
5b5cc6dce4d2b4197774e983- 136 yrsfalse
- 238 yrsfalse
- 340 yrstrue
- 442 yrsfalse
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Answer : 3. "40 yrs"
Explanation :
Answer: C) 40 yrs Explanation: Let the mother's present age be x years. Then, the person's present age = 2/5 x years. (2x/5 + 8) = 1/2 (x + 8) 2(2x + 40) = 5(x + 8) => x = 40.
Q: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ? 2807 05b5cc6dce4d2b4197774e988
5b5cc6dce4d2b4197774e988- 1108 sq.cmfalse
- 2112 sq.cmfalse
- 3116 sq.cmfalse
- 4120 sq.cmtrue
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Answer : 4. "120 sq.cm"
Explanation :
Answer: D) 120 sq.cm Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm. Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm
Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3896 05b5cc6dce4d2b4197774e979
5b5cc6dce4d2b4197774e979- 112 & 7true
- 213 & 8false
- 315 & 10false
- 414 & 9false
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Answer : 1. "12 & 7"
Explanation :
Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7