GATE Practice Question and Answer
8Q: If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___? 2961 05b5cc6bee4d2b4197774d997
5b5cc6bee4d2b4197774d997- 114 × 13 × 13!false
- 215 × 14 × 14!false
- 314 × 12 × 12!false
- 415 × 13 × 13!true
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Answer : 4. "15 × 13 × 13!"
Explanation :
Answer: D) 15 × 13 × 13! Explanation: 15! - 14! - 13! = (15 × 14 × 13!) - (14 × 13!) - (13!) = 13! (15 × 14 - 14 - 1) = 13! (15 × 14 - 15) = 13! x 15 (14 - 1) = 15 × 13 × 13!
Q: Word length of a personal computer is 2960 05b5cc642e4d2b4197774bb7c
5b5cc642e4d2b4197774bb7c- 132 bitfalse
- 216 bitfalse
- 38 bittrue
- 44 bitfalse
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Answer : 3. "8 bit"
Explanation :
Answer: C) 8 bit Explanation: Word length refers to the number of bits processed by a computer's CPU in one go. These days, typically 32 bits or 64 bits are used. Data bus size, instruction size, address size are usually multiples of the word size.
Q: Which acid is produced when milk gets sour? 2960 05b5cc69de4d2b4197774c8c6
5b5cc69de4d2b4197774c8c6- 1Lactic acidtrue
- 2Acetic acidfalse
- 3Tartaric acidfalse
- 4Butyric acidfalse
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Answer : 1. "Lactic acid"
Explanation :
Answer: A) Lactic acid Explanation:
Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2960 15b5cc761e4d2b4197774fd67
5b5cc761e4d2b4197774fd67- 11false
- 22true
- 34false
- 48false
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Answer : 2. "2"
Explanation :
Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2
Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2953 05b5cc6cde4d2b4197774e1cc
5b5cc6cde4d2b4197774e1cc- 15%true
- 26%false
- 34%false
- 43%false
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Answer : 1. "5%"
Explanation :
Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2 and simple interest for 5 years = Rs. 2400 Now, we know that C.I = P1+R100n - 1 => 1513.2 = P1+R1003 - 1 ...........(A) And S.I = PTR/100 => 2400 = P5R/100 ..................(B) By solving (A) & (B), we get R = 5%.
Q: Choose the Antonym of the given word from the following options 'Jettison' 2952 05b5cc761e4d2b4197774fd02
5b5cc761e4d2b4197774fd02- 1Salvagetrue
- 2Submergefalse
- 3Repentfalse
- 4Descendfalse
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Answer : 1. "Salvage"
Explanation :
Answer: A) Salvage Explanation: 'Jettison' means to discard and 'salvage' means to rescue something discarded. Hence, 'salvage' is the word which is farthest in meaning to the given word 'Jettison'.
Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ? 2950 05b5cc6d8e4d2b4197774e782
5b5cc6d8e4d2b4197774e782- 12/3 hrsfalse
- 23/4 hrstrue
- 31/3 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "3/4 hrs"
Explanation :
Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Q: 11 letter Indian city is I am Hints :: 2,4,10 is a Unit of Length . Last 6 letters is a Fruit Name. 9,5,3 is a Soap Name. 1,8,3 is used by a Student 7,8,3 letters is a Bird Name. 6,7,5,3 is an organ in the Face. From the above given Hints Find that Indian City Name? 2948 05b5cc6b6e4d2b4197774d59d
5b5cc6b6e4d2b4197774d59d- Show AnswerHide Answer
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Answer :
Explanation :
PONDICHERRY is the Indian City with 11 Letters. Fruit Name : CHERRY Soap Name : RIN Bird Name : HEN Organ : CHIN Used by Student : PEN