GATE Practice Question and Answer
8Q: If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585 546 514 404 206 369 1765 05b5cc73de4d2b4197774f92f
5b5cc73de4d2b4197774f92f- 1404false
- 2585false
- 3415true
- 4602false
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Answer : 3. "415"
Explanation :
Answer: C) 415 Explanation: Given numbers are 585 546 514 404 206 369Then interchanging the 1st and 3rd digits of the given numbers, we get585 645 415 404 602 963Now, arranging them in ascending order963 645 602 585 415 404Then the last second number is 415.
Q: A class consists of both boys and girls along with a teacher. After a class, the teacher drinks 9 litres of water, a boy drinks 7 litres of water and a girl drinks 4 litres of water. If after a class 42 litres of water was consumed, find the number of girls in the class ? 1763 05b5cc745e4d2b4197774fa2c
5b5cc745e4d2b4197774fa2c- 18false
- 26false
- 35false
- 43true
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Answer : 4. "3"
Explanation :
Answer: D) 3 Explanation: Given teacher drinks 9 ltrLet number of boys be 'A'.Let number of girls be 'B'.Boy drinks 7 ltr and girl drinks 4 ltrAfter class total water consumed = 42 ltrThen,9 + 7A + 4B = 42=> 7A + 4B = 33By trial and error method,The only integers which satisfy the equation is A = 3 and B = 3Therefore, number of girls in the class = 3.
Q: 125% as a Fraction? 1762 05b5cc6aae4d2b4197774cf7f
5b5cc6aae4d2b4197774cf7f- 11/4false
- 23/4false
- 35/4true
- 47/4false
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Answer : 3. "5/4"
Explanation :
Answer: C) 5/4 Explanation: Literally any percentage means divide by 100. So 125% = 125100. That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.
Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1. 5a2-18a+9=0 2. 3b2+5b-2=0 1760 05b5cc6cae4d2b4197774e09f
5b5cc6cae4d2b4197774e09f- 1a >= bfalse
- 2a <= bfalse
- 3a < bfalse
- 4a > btrue
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Answer : 4. "a > b"
Explanation :
Answer: D) a > b Explanation: From solving 1 and 2 we get, 1. 5a(a-3)-3(a-3) = 0 (5a-3)(a-3) = 0 a = 3 or 3/5 2. 3b(b+2)-1(b+2) = 0 b = -2 or b = 1/3 Here when a = 3, a > b for b = -2 and b = 1/3 when a = 3/5. a > b for b = -2 and b = 1/3. Hence, it is clear that a > b.
Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1760 05b5cc731e4d2b4197774f823
5b5cc731e4d2b4197774f823- 115 mtsfalse
- 230 mtstrue
- 324 mtsfalse
- 436 mtsfalse
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Answer : 2. "30 mts"
Explanation :
Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m. Therefore, the radius of the circle implies the length of the rope = 30 mts.
Q: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1759 05b5cc6dfe4d2b4197774eae9
5b5cc6dfe4d2b4197774eae9- 130true
- 227false
- 323false
- 433false
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Answer : 1. "30"
Explanation :
Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.
Q: On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students? 1759 05b5cc6b9e4d2b4197774d757
5b5cc6b9e4d2b4197774d757- 1380false
- 2420true
- 3441false
- 4400false
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Answer : 2. "420"
Explanation :
Answer: B) 420 Explanation: Given total number of students in the class = 21 So each student will have 20 greeting cards to be send or receive (21 - 1(himself)) Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.
Q: The p wave of a normal Electrocardiogram indicates 1758 05b5cc6aae4d2b4197774cf89
5b5cc6aae4d2b4197774cf89- 1atrial depolarizationtrue
- 2Ventricular repolarizationfalse
- 3atrial repolarizationfalse
- 4Ventricular depolarizationfalse
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Answer : 1. "atrial depolarization"
Explanation :
Answer: A) atrial depolarization Explanation: The P wave in the ECG represents atrial depolarization, which results in atrial contraction, or atrial systole. The P wave is a summation wave generated by the depolarization front as it transits the atria.

