GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2458 15b5cc7d1e4d2b4197775129f
5b5cc7d1e4d2b4197775129f- 12880true
- 21440false
- 3720false
- 42020false
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उत्तर : 1. "2880"
व्याख्या :
Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd. 4 women can be arranged at 4 even places in 4! ways. and 5 men can be placed in remaining 5 places in 5! ways. Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880
प्र: 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 ? 2457 05b5cc6e5e4d2b4197774ed3d
5b5cc6e5e4d2b4197774ed3d- 114 daystrue
- 218 daysfalse
- 321 deaysfalse
- 416 daysfalse
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उत्तर : 1. "14 days"
व्याख्या :
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.
प्र: Tides are primarily a result of the ____ ? 2454 05b5cc6d5e4d2b4197774e5f7
5b5cc6d5e4d2b4197774e5f7- 1Attraction of the Moontrue
- 2Farrel's lawfalse
- 3Ocean Currentsfalse
- 4Earth's pressure systemfalse
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उत्तर : 1. "Attraction of the Moon"
व्याख्या :
Answer: A) Attraction of the Moon Explanation:
प्र: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2449 05b5cc6bbe4d2b4197774d85d
5b5cc6bbe4d2b4197774d85d- 128 cmfalse
- 23.5 cmfalse
- 37 cmfalse
- 414 cmtrue
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उत्तर : 4. "14 cm"
व्याख्या :
Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
प्र: Select a suitable figure from the four alternatives that would complete the figure matrix. 2446 05b5cc76de4d2b4197774ff03
5b5cc76de4d2b4197774ff03- 12true
- 24false
- 33false
- 41false
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उत्तर : 1. "2"
व्याख्या :
Answer: A) 2 Explanation: In each row, the second figure is obtained from the first figure by adding two mutually perpendicular line segments at the centre and the third figure is obtained from the first figure by adding four circles outside the main figure.
प्र: What is the common ratio of the following geometric sequence? 4, 2, 1, 0.5, 0.25, 0.125,... 2446 05b5cc64de4d2b4197774bc89
5b5cc64de4d2b4197774bc89- 10.5true
- 2-1false
- 31.5false
- 4-0.5false
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उत्तर : 1. "0.5"
व्याख्या :
Answer: A) 0.5 Explanation: In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,... Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.
प्र: Which of the following is the lightest metal? 2444 05b5cc6a1e4d2b4197774cae5
5b5cc6a1e4d2b4197774cae5- 1Lithiumtrue
- 2Silverfalse
- 3Mercuryfalse
- 4Leadfalse
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उत्तर : 1. "Lithium"
व्याख्या :
Answer: A) Lithium Explanation: Lithium is the lightest metal and the lightest solid element. It is a soft, silvery-white alkali metal. Under standard conditions. Like all alkali metals, lithium is highly reactive and flammable and is stored in mineral oil.
प्र: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2443 05b5cc6dfe4d2b4197774eb0c
5b5cc6dfe4d2b4197774eb0c- 1300false
- 2150true
- 3175false
- 4200false
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उत्तर : 2. "150"
व्याख्या :
Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.

