IIT JEE Practice Question and Answer
8Q: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ? 1246 05b5cc75ee4d2b4197774fcb6
5b5cc75ee4d2b4197774fcb6- 181false
- 278false
- 380.5false
- 481.5true
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Answer : 4. "81.5"
Explanation :
Answer: D) 81.5 Explanation: Let the number of students in classes A, B and C be P, Q and R respectively.Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.Also given that,(83P + 76Q) / (P + Q) = 79=>4P = 3Q.(76Q + 85R)/(Q + R) = 81=>4R = 5Q,=>Q = 4P/3 and R = 5P/3Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5
Q: In a certain code language, 'how can you go' is written as 'ja da ka pa', 'can you come here' is written as 'na ka sa ja' and 'cone and go' is written as 'ra pa sa'. How is 'here' written in that code ? 3966 05b5cc75ee4d2b4197774fca7
5b5cc75ee4d2b4197774fca7- 1natrue
- 2jafalse
- 3safalse
- 4Nonefalse
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Answer : 1. "na"
Explanation :
Answer: A) na Explanation: From the given information : how can you go = ja da ka pa....(1)can you come here = na ka sa ja...(2)come and go = ra pa sa....(3)from (1)&(2), can you = ja ka...(4)from (2)&(3), come = sa...(5)Using (4)&(5) in (2), we get here = na.
Q: What should come next in the following letter series based on English alphabet ?CEA JLH QSO ? 1748 05b5cc75ee4d2b4197774fcac
5b5cc75ee4d2b4197774fcac- 1WYUfalse
- 2UXWfalse
- 3WXVfalse
- 4XZVtrue
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Answer : 4. "XZV"
Explanation :
Answer: D) XZV Explanation: In the given series, each letter moves seven letters forward to obtain the next.So, XZV replaces ? in the series.
Q: 'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it? 2001 05b5cc75ee4d2b4197774fca2
5b5cc75ee4d2b4197774fca2- 1Rs.196false
- 2Rs.210false
- 3Rs.200true
- 4Rs.235false
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Answer : 3. "Rs.200"
Explanation :
Answer: C) Rs.200 Explanation: Let the article costs 'X' to ACost price of B = 1.2XCost price of C = 0.75(1.2X) = 0.9XCost price of D = 1.4(0.9X) = 1.26X = 252Amount paid by A for the article = Rs. 200.
Q: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ? 1581 05b5cc75ee4d2b4197774fc9d
5b5cc75ee4d2b4197774fc9d- 1Rs.2010false
- 2Rs.2200false
- 3Rs.2000true
- 4Rs.2100false
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Answer : 3. "Rs.2000"
Explanation :
Answer: C) Rs.2000 Explanation: Let money invested by Raghu = Rs. xMoney invested by Trishul = 9/10 x = 0.9xMoney invested by Vishal = 9/10x * 110/100 = 0.99xAlso, x+0.9x+0.99x = 5780= x= 5780/2.89 = 2000 Therefore, amount invested by Raghu is Rs. 2000.
Q: In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ? 2581 05b5cc75ee4d2b4197774fc98
5b5cc75ee4d2b4197774fc98- 16@53false
- 2%@53true
- 353%#false
- 4%#35false
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Answer : 2. "%@53"
Explanation :
Answer: B) %@53 Explanation: From the given information : D O W N A M E == 5 @ 9 # 6 % 3 MODE = %@53
Q: A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ? 6091 05b5cc75ee4d2b4197774fc93
5b5cc75ee4d2b4197774fc93- 1Rs.37,500true
- 2Rs.36,400false
- 3Rs.37,415false
- 4Rs.36,500false
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Answer : 1. "Rs.37,500"
Explanation :
Answer: A) Rs.37,500 Explanation: Assume A be the cost price. Therefore,35×A×10100 - 25×A×5100 = 1500 => A = Rs 37,500.
Q: If watches bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425. What is the greatest possible profit that might be made in selling nine watches ? 1464 05b5cc75ce4d2b4197774fc89
5b5cc75ce4d2b4197774fc89- 1Rs. 1800false
- 2Rs. 2000false
- 3Rs. 2025true
- 4Rs. 1750false
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Answer : 3. "Rs. 2025"
Explanation :
Answer: C) Rs. 2025 Explanation: Profit would be maximum if watches are brought for Rs. 200 and sold for Rs. 425Profit = Rs. (425 - 200) = Rs. 225Profit of 9 watches = Rs. 225 x 9 = Rs.2,025.