GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Conditions: I is brother of J K is father of I L is brother of M M is daughter of J , then Who is I to L? 2171 05b5cc777e4d2b419777500bb
5b5cc777e4d2b419777500bb- 1Grand fatherfalse
- 2Uncletrue
- 3Sonfalse
- 4Brotherfalse
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उत्तर : 2. "Uncle"
व्याख्या :
Answer: B) Uncle Explanation:
प्र: Statement 1: Elizabeth has four children.Statement 2: Two of the children have blue eyes and two of the children have brown eyes.Statement 3: Half of the children are girls.If the first three statements are facts, which of the following statements must also be a fact? a. At least one girl has blue eyes.b. Two of the children are boys.c. The boys have brown eyes. 2171 05b5cc76ae4d2b4197774fe84
5b5cc76ae4d2b4197774fe84- 1a onlyfalse
- 2a and bfalse
- 3b onlytrue
- 4b and cfalse
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उत्तर : 3. "b only"
व्याख्या :
Answer: C) b only Explanation: Since half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. So only statement (b) follows.
प्र: Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 2171 05b5cc6abe4d2b4197774cfe0
5b5cc6abe4d2b4197774cfe0- 1Rs. 3845false
- 2Rs. 4826true
- 3Rs. 5142false
- 4Rs. 4415false
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उत्तर : 2. "Rs. 4826"
व्याख्या :
Answer: B) Rs. 4826 Explanation: We know the formula for calculating The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time Here P = 5000, r1 = 10, r2 = 20 Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625 C = Rs. 4826.
प्र: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? 2171 05b5cc6e0e4d2b4197774eb70
5b5cc6e0e4d2b4197774eb70- 116/19false
- 21false
- 33/2false
- 417/20true
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उत्तर : 4. "17/20"
व्याख्या :
Answer: D) 17/20 Explanation: n(S) = 20n(Even no) = 10 = n(E)n(Prime no) = 8 = n(P)P(E U P) = 10/20 + 8/20 - 1/20 = 17/20
प्र: How does molecular shape affect polarity? 2170 05b5cc6ade4d2b4197774d0f3
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उत्तर :
व्याख्या :
Polarity :: The polarity of a molecule defines its other physical properties such as melting point, boiling point, surface tension, vapor pressure etc... Simply, polarity occurs when the electron distribution in a molecule is asymmetric. This results in a net dipole moment in the molecule. One end of the molecule is charged negative while the other gets a positive charge. The polarization of a molecule greatly depends on the shape of the molecule. A diatomic molecule like HF mentioned above has no issue of shape. The net dipole moment is only due to the uneven distribution of electrons between the two atoms. However, when there are more than two atoms involved in making a bond, there are many complexities. The water molecule is of bent shape. Therefore, when the two pair of electrons shared by oxygen with two hydrogen atoms is pulled towards oxygen, the net dipole moment results in the direction of the oxygen atom. There is no other force to cancel out the resultant dipole moment. Hence, the water molecule is highly polar. Ammonia molecule is of a pyramid shape and the electronegative N atom pulls the electrons towards itself. The three N-H bonds are not in the same plane; hence the dipole moments created do not get canceled out. This makes ammonia a polar molecule. However, the dipole moments sometimes get canceled due to the shape of the molecules, making the molecule non-polar. Carbon dioxide is such a molecule.
प्र: In general, which is the cause of a land breeze? 2169 05b5cc626e4d2b4197774b846
5b5cc626e4d2b4197774b846- 1Pressurefalse
- 2Heatfalse
- 3Temperaturetrue
- 4None of the abovefalse
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उत्तर : 3. "Temperature"
व्याख्या :
Answer: C) Temperature Explanation: The land breeze is a coastal breeze at night blowing from the land to the ocean. It is caused by the difference in the rates of cooling of the land and of the ocean. Once again, the bigger the difference in temperature between the two, the stronger the wind.
प्र: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ? 2169 05b5cc6dee4d2b4197774ea80
5b5cc6dee4d2b4197774ea80- 1Rs. 660false
- 2Rs. 560false
- 3Rs. 1060false
- 4Rs. 960true
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उत्तर : 4. "Rs. 960"
व्याख्या :
Answer: D) Rs. 960 Explanation: Let C.P. = Rs. C. Then, 832 - C = C - 4482C = 1280 => C = 640Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.
प्र: A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ? 2168 05b5cc6e1e4d2b4197774ebc5
5b5cc6e1e4d2b4197774ebc5- 147false
- 246false
- 337true
- 435false
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उत्तर : 3. "37"
व्याख्या :
Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.

