GATE Practice Question and Answer
8Q: The modulus of elasticity for mild steel is approximately equal to 2101 05b5cc65ee4d2b4197774be16
5b5cc65ee4d2b4197774be16- 1210 kN/mm2true
- 2100 kN/mm2false
- 380 kN/mm2false
- 410 kN/mm2false
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Answer : 1. "210 kN/mm2"
Explanation :
Answer: A) 210 kN/mm2 Explanation: It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material. The modulus of elasticity is defined as: Modulus of elasticity = Stress / Strain There are three types of moduli. They are : (a) the Young Modulus - tensile and compression longitudinal stress (b) the shear modulus - a shearing stress (c) the bulk modulus - volume changes of the specimen.
Q: Points that lie on the same line are called 2100 05b5cc690e4d2b4197774c445
5b5cc690e4d2b4197774c445- 1Congruentfalse
- 2Coplanar pointsfalse
- 3Collinear pointstrue
- 4Nonefalse
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Answer : 3. "Collinear points"
Explanation :
Answer: C) Collinear points Explanation: Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.
Q: What is the place value of 6 in 64? 2099 05b5cc68be4d2b4197774c36a
5b5cc68be4d2b4197774c36a- 16false
- 260true
- 364false
- 410false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: We know that, ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place). Hence, the place value of 6 in 64 = 6 x 10 = 60.
Q: Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)? 2098 05b5cc6a0e4d2b4197774ca6c
5b5cc6a0e4d2b4197774ca6c- 1132 kmfalse
- 2264 kmtrue
- 3134 kmfalse
- 4236 kmfalse
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Answer : 2. "264 km"
Explanation :
Answer: B) 264 km Explanation: Let the distance travelled by Tilak in first case or second case = d kms Now, from the given data, d/20 = d/22 + 36 min => d/20 = d/22 + 3/5 hrs => d = 132 km. Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.
Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2097 05b5cc6e5e4d2b4197774ed3d
5b5cc6e5e4d2b4197774ed3d- 114 daystrue
- 218 daysfalse
- 321 deaysfalse
- 416 daysfalse
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Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.
Q: What number should replace the question mark? 125, 138, 164, ?, 255 2096 05b5cc6a1e4d2b4197774cabd
5b5cc6a1e4d2b4197774cabd- 1189false
- 2197false
- 3200false
- 4203true
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Answer : 4. "203"
Explanation :
Answer: D) 203 Explanation: The given number series is 125, 138, 164, ?, 255 125 125 + 13x1 = 138 138 + 13x2 = 164 164 + 13x3 = 203 203 + 13x4 = 255 Hence, the missing number in the series is 203.
Q: The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ? 2095 05b5cc6dee4d2b4197774ea60
5b5cc6dee4d2b4197774ea60- 16false
- 29false
- 37false
- 45true
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Answer : 4. "5"
Explanation :
Answer: D) 5 Explanation: Arithmatic mean = sum/members => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5
Q: If selling price is doubled, the profit triples. Find the profit percent ? 2087 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
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Answer : 1. "100%"
Explanation :
Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%