GATE Practice Question and Answer
8Q: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1522 05b5cc6c0e4d2b4197774db0f
5b5cc6c0e4d2b4197774db0f- 115 cmfalse
- 218 cmfalse
- 334 cmtrue
- 426 cmfalse
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Answer : 3. "34 cm"
Explanation :
Answer: C) 34 cm Explanation: Let the side of the square be 's' cm length of rectangle = (s+5) cm breadth of rectangle = (s-3)cm (s+5) (s-3) = s2 - 5s - 3s - 15 = s2 2s = 15 Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2) = 2(15 + 2) = 34 cm
Q: What is the difference between the number of uneducated females in city P and that of uneducated males in city S ? 1522 05b5cc6c8e4d2b4197774df37
5b5cc6c8e4d2b4197774df37- 19 lakhstrue
- 26 lakhsfalse
- 33 lakhsfalse
- 42 lakhsfalse
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Answer : 1. "9 lakhs"
Explanation :
Answer: A) 9 lakhs Explanation: Educated females in city P = 25 lakhs Uneducated females in city P = 30 - 25 = 5 lakhs Educated males city S = 21 lakhs Educated males in city S = 35 - 21= 14 lakhs Required difference = 14 - 5 = 9 lakhs
Q: Which of these is a starting point for primary succession? 1520 05b5cc68ee4d2b4197774c412
5b5cc68ee4d2b4197774c412- 1a neglected yardfalse
- 2a surface exposed by a retreating glaciertrue
- 3an abandoned cityfalse
- 4abandoned farmlandfalse
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Answer : 2. "a surface exposed by a retreating glacier"
Explanation :
Answer: B) a surface exposed by a retreating glacier Explanation:
Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1519 05b5cc745e4d2b4197774f9fe
5b5cc745e4d2b4197774f9fe- 136 kmphtrue
- 232 kmphfalse
- 328 kmphfalse
- 434 kmphfalse
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Answer : 1. "36 kmph"
Explanation :
Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.
Q: If 25% of three-seventh of 26% of a number is 145.5, what is the number? 1518 05b5cc6bfe4d2b4197774d9f1
5b5cc6bfe4d2b4197774d9f1- 14987false
- 25784false
- 35223true
- 44741false
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Answer : 3. "5223"
Explanation :
Answer: C) 5223 Explanation: Given, 25% of three-seventh of 26% of a number is 145.5 Let the required number be 'N' i.e, 25100x37x26100xN = 145.5 N = 145.5x7x1000075x26 => N = 5223.07
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 ? 1518 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: Which of the following vitamins are water soluble? 1516 05b5cc66de4d2b4197774bf91
5b5cc66de4d2b4197774bf91- 1Vitamins B & Ctrue
- 2Vitamins K, D & Cfalse
- 3Vitamins A, D & Kfalse
- 4Vitamins A, K, B, C & Dfalse
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Answer : 1. "Vitamins B & C"
Explanation :
Answer: A) Vitamins B & C Explanation: Vitamins are essential nutrients found in foods. They perform specific and vital functions in a variety of body systems, and are crucial for maintaining optimal health. The two different types of vitamins are fat-soluble vitamins and water-soluble vitamins. Fat-soluble vitamins : Vitamins A, D, E and K — dissolve in fat before they are absorbed in the bloodstream to carry out their functions. Excesses of these vitamins are stored in the liver, and are not needed every day in the diet. Water-soluble vitamins : Vitamins dissolve in water and are not stored by the body. Since they are eliminated in urine, we require a continuous daily supply in our diet. The water-soluble vitamins include the vitamin B-complex group and vitamin C. Water-soluble vitamins are easily destroyed or washed out during food storage or preparation.
Q: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1515 05b5cc6d4e4d2b4197774e5b1
5b5cc6d4e4d2b4197774e5b1- 132.5 hrsfalse
- 229.25 hrstrue
- 330.30 hrsfalse
- 431 hrsfalse
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Answer : 2. "29.25 hrs"
Explanation :
Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs Then, 1/9 - 1/x = 1/13 x = 29.25 hrs