GATE Practice Question and Answer
8Q: When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ? 1322 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
- 26false
- 33true
- 41false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: Number = quotient x divisor + remainder;so, herenumber = 138 k + 26=> (23 x 6k) + (23+3)=> 23(6k+1)+3so, remainder is 3.
Q: Which of the following is a false statement? 1321 05b5cc6a6e4d2b4197774cd1d
5b5cc6a6e4d2b4197774cd1d- 1As bond order increases the strength of the bond increasesfalse
- 2Bond order is proportional to the bond lengthtrue
- 3Molecules with negative bond order are highly unstablefalse
- 4Bond order is inversely proportional to the bond lengthfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Bond order is proportional to the bond length"
Explanation :
Answer: B) Bond order is proportional to the bond length Explanation: Bond order is proportional to the bond length is a False statement since Bond order is inversely proportional to the bond length.
Q: What tastes better than it smells? 1318 05b5cc67ee4d2b4197774c24a
5b5cc67ee4d2b4197774c24a- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer :
Explanation :
Tongue. Yes tongue tastes better than it smells as it can't smell.
Q: Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year. 1316 05b5cc6cfe4d2b4197774e332
5b5cc6cfe4d2b4197774e332- 1Rs. 101false
- 2Rs. 98.5false
- 3Rs. 124.3false
- 4Rs. 112.5true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Rs. 112.5"
Explanation :
Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest She also lends it at 6 1⁄4% p.a for 2 years => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.
Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1316 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.
Q: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1315 05b5cc6a8e4d2b4197774ce71
5b5cc6a8e4d2b4197774ce71- 110true
- 224false
- 336false
- 440false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "10"
Explanation :
Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10
Q: Find which of the two conclusions I and II given below is/are definitely true from the the given statements. Statements: I > W > T > N, I = F = G = C Conclusions: I. W > I II. C > N 1313 05b5cc6bde4d2b4197774d933
5b5cc6bde4d2b4197774d933- 1Only Conclusion I is truefalse
- 2Only Conclusion II is truetrue
- 3Both conclusions I & II are truefalse
- 4Neither conclusion I nor II is truefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Only Conclusion II is true"
Explanation :
Answer: B) Only Conclusion II is true Explanation: From the given Statements : 1. I > W > T > N 2. F = G = C Conclusions are : I. W > I (False) II. C > N (True)
Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 1309 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
- 27false
- 39false
- 411false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.