GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: A, B and C started a company where their initial investments was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit of the company ? 1845 05b5cc6cce4d2b4197774e138
5b5cc6cce4d2b4197774e138- 1Rs. 9500true
- 2Rs. 10600false
- 3Rs. 7500false
- 4Rs. 8900false
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उत्तर : 1. "Rs. 9500"
व्याख्या :
Answer: A) Rs. 9500 Explanation: Given initial investments ratio = 2 : 3 : 4 At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment Now, Ratio of investment for one year => A : B : C = (2×6 + 3×6) : (3×12) : (4×12) = 30 : 36 : 48 = 5 : 6 : 8 But given B's profit = 3000 => 6 ratio = 3000 For total => 19 ratio = Rs. 9500.
प्र: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? 1845 05b5cc6d7e4d2b4197774e6c6
5b5cc6d7e4d2b4197774e6c6- 1B) = 0.6. Are these two events are disjoint ? A)false
- 2= 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(true
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उत्तर : 2. "= 0.6. Are these two events are disjoint ?
A) TRUE
B) FALSE
Answer & Explanation
Answer: B) FALSE
Explanation: These two events cannot be disjoint because P(K) + P(L) > 1.
P(AꓴB) = P("
व्याख्या :
Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(A) + P(B) - P(AꓵB). An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4 And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.
प्र: Multiplicative inverse of 0 1845 05b5cc651e4d2b4197774bce5
5b5cc651e4d2b4197774bce5- 10false
- 21false
- 3infinityfalse
- 4None of the abovetrue
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उत्तर : 4. "None of the above"
व्याख्या :
Answer: D) None of the above Explanation: In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). Hence, 0 doesn't have any multiplicative inverse.
प्र: which of the following statements are correct 1845 05b5cc6b8e4d2b4197774d65f
5b5cc6b8e4d2b4197774d65f- 1Sir Richard Arkwright - Father of industrial revolutionfalse
- 2Michael Faraday - Discovered Benzene and invented Bunsen Burnerfalse
- 3Thomas Alva Edison - phonograph and motion picture camerafalse
- 4All the abovetrue
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उत्तर : 4. "All the above"
व्याख्या :
Answer: D) All the above Explanation: Inventors and their Inventions :: Sir Richard Arkwright - Father of industrial revolution. Michael Faraday - Discovered Benzene and invented Bunsen Burner. Thomas Alva Edison - Invented Phonograph and motion picture camera.
प्र: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal ? 1843 05b5cc71be4d2b4197774f535
5b5cc71be4d2b4197774f535- 140false
- 230true
- 350false
- 425false
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उत्तर : 2. "30"
व्याख्या :
Answer: B) 30 Explanation: Here given 120 men = 200 children therefore 1 child = 3/5 of Man------ step I Now given that the food was consumed by 150 children From step I we get 150 children =90 Men ( 1 child = 3/5 Man ie , 150 X 3/5 = 90)So the food is for (120-90) men = 30 Men
प्र: What Room can Nobody Enter? 1843 05b5cc6abe4d2b4197774cfea
5b5cc6abe4d2b4197774cfea- 1War roomfalse
- 2Spare roomfalse
- 3Escape roomfalse
- 4Mushroomtrue
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उत्तर : 4. "Mushroom"
व्याख्या :
Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.
प्र: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1843 15b5cc6afe4d2b4197774d259
5b5cc6afe4d2b4197774d259- 13924false
- 21962true
- 31684false
- 41452false
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उत्तर : 2. "1962"
व्याख्या :
Answer: B) 1962 Explanation: Arithmetic Series :: An Arithmetic Series is a series of numbers in which each term increases by a constant amount. How to find the sum of the Arithmetic Sequence or Series for the given Series :: When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence. That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term Here Last term is given by an = a1 + n-1d where d = common difference Now given Arithmetic Series is 2, 5, 8, 11,... Here a1 = 2, d = 3, n = 36 Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 Now, Sum to 36 terms is given by S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962 Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.
प्र: Water is an excellent solvent because 1842 05b5cc69be4d2b4197774c7f8
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उत्तर :
व्याख्या :
Water is capable of dissolving a variety of different substances, which is why it is such a good solvent. And, water is called the "universal solvent" because it dissolves more substances than any other liquid It means that wherever water goes, either through the ground or through our bodies, it takes along valuable chemicals, minerals, and nutrients

