GATE Practice Question and Answer
8Q: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1881 05b5cc764e4d2b4197774fd76
5b5cc764e4d2b4197774fd76- 14/3false
- 22/3false
- 33/2false
- 43/4true
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Answer : 4. "3/4"
Explanation :
Answer: D) 3/4 Explanation: Let S be the sample space.Here n(S)= 23 = 8Let E be the event of getting atmost two heads. Then,n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}Required probability = n(E)/n(S) = 6/8 = 3/4.
Q: Find the wrong number in the given series :26, 20, 16, 11, 8, 6, 5 1880 05b5cc6cee4d2b4197774e22d
5b5cc6cee4d2b4197774e22d- 15false
- 226false
- 311false
- 416true
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Answer : 4. "16"
Explanation :
Answer: D) 16 Explanation: 26 - 6 = 20 20 - 5 = 15 15 - 4 = 11 11 - 3 = 8 8 - 2 = 6 6 - 1 = 5 Therefore, 16 is wrong number.
Q: Choose what replaces '?' in the following figure ? 1880 05b5cc758e4d2b4197774fc19
5b5cc758e4d2b4197774fc19- 1Qfalse
- 2Ofalse
- 3Mfalse
- 4Ntrue
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Answer : 4. "N"
Explanation :
Answer: D) N Explanation: The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So, M = Reverse of M = N.
Q: What did the Bhore committee deal with ? 1880 15b5cc77ae4d2b419777500f2
5b5cc77ae4d2b419777500f2- 1Economic development in Indiafalse
- 2Health development in Indiatrue
- 3Development of airports in Indiafalse
- 4Rural development in Indiafalse
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Answer : 2. "Health development in India"
Explanation :
Answer: B) Health development in India Explanation:
Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1879 05b5cc72ce4d2b4197774f7ab
5b5cc72ce4d2b4197774f7ab- 1Rs. 4false
- 2Rs. 3true
- 3Rs. 5false
- 4Rs. 1false
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Answer : 2. "Rs. 3"
Explanation :
Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 = Rs.3
Q: The purest form of iron is 1879 05b5cc7efe4d2b41977751d76
5b5cc7efe4d2b41977751d76- 1wrought irontrue
- 2steelfalse
- 3pig ironfalse
- 4nickel steelfalse
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Answer : 1. "wrought iron"
Explanation :
Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.
Q: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? 519 328 746 495 837 1879 05b5cc73ae4d2b4197774f8a6
5b5cc73ae4d2b4197774f8a6- 1146true
- 2203false
- 3345false
- 496false
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Answer : 1. "146"
Explanation :
Answer: A) 146 Explanation: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? Now arranging the given numbers in descending order.837 746 519 495 328 519 - 746/2 = 519 - 373 = 146.
Q: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? 1876 15b5cc6f4e4d2b4197774f013
5b5cc6f4e4d2b4197774f013- 114 cmfalse
- 213.5 cmfalse
- 312.5 cmtrue
- 411.4 cmfalse
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Answer : 3. "12.5 cm"
Explanation :
Answer: C) 12.5 cm Explanation: Let the required height of the building be x meter More shadow length, More height(direct proportion) Hence we can write as (shadow length) 40.25 : 28.75 :: 17.5 : x⇒ 40.25 × x = 28.75 × 17.5⇒ x = 28.75 × 17.5/40.25= 2875 × 175/40250= 2875 × 7/1610= 2875/230= 575/46= 12.5 cm

