IIT JEE Practice Question and Answer
8Q: Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ? 1615 05b5cc71be4d2b4197774f559
5b5cc71be4d2b4197774f559- 125 yearstrue
- 224 yearsfalse
- 323 yearsfalse
- 422 yearsfalse
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Answer : 1. "25 years"
Explanation :
Answer: A) 25 years Explanation: Let varun's age = x yrs. From the given conditions, x+1 = 2(x-12) x = 25 years.
Q: Swetha when get married to Sudeer her age was 3/4 th of her husband's age. After 12 years her age became 5/6 th of her husband's age. Then what's the age of Swetha when she got married ? 1245 05b5cc71be4d2b4197774f55e
5b5cc71be4d2b4197774f55e- 118 yearstrue
- 221 yearsfalse
- 323 yearsfalse
- 417 yearsfalse
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Answer : 1. "18 years"
Explanation :
Answer: A) 18 years Explanation: At the time of marriage, let Sudeer's age be 4x, then Swetha's age is 3x12 years after:Age of Sudeer = 4x+12Age of Swetha = 3x+12Now the equation is 3x+12=5/6(4x+12)Solving equation we get x=6Hence Swetha got married at the age of 18.
Q: Name the company that has recently created the world’s smallest magnet using a single atom which can store one bit of data on it. 1235 05b5cc71be4d2b4197774f553
5b5cc71be4d2b4197774f553- 1TCSfalse
- 2Microsoftfalse
- 3IBMtrue
- 4Infosysfalse
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Answer : 3. "IBM"
Explanation :
Answer: C) IBM Explanation: A team of researchers at IBM has created the world’s smallest magnet using a single atom which can store one bit of data on it.
Q: What is the four-digit number in which the first digit is 1/3 of the second,the third is the sum of the first and second, and the last is three times the second ? 918 05b5cc71be4d2b4197774f558
5b5cc71be4d2b4197774f558- Show AnswerHide Answer
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Answer :
Explanation :
It is given that the first digit is 1/3 of the second. There are 3 such possibilities 1)1 and 32)2 and 63)3 and 9 Now, the third digit is the sum of the first and second digits.1)1 + 3 = 4 2)2 + 6 = 83)3 + 9 = 12It is clear that option 3 is not possible. So we are left with only two options. Also, the last digit is three times the second, which rules out the second option. Hence, the answer is 1349.
Q: Find the next number in the given series ? 3, 7, 6, 5, 9, 3, 12, 1, 15, . . . 2171 05b5cc71be4d2b4197774f54e
5b5cc71be4d2b4197774f54e- 12false
- 20false
- 31false
- 4-1true
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Answer : 4. "-1"
Explanation :
Answer: D) -1 Explanation: 3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series 1) 3, 6, 9, 12, 15..... 2) 7, 5, 3, 1, ..... -1 is the next number.
Q: In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ? 9669 05b5cc71be4d2b4197774f549
5b5cc71be4d2b4197774f549- 120true
- 229false
- 328false
- 424false
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Answer : 1. "20"
Explanation :
Answer: A) 20 Explanation: Let the runs scored by P, Q, R, S and T be a, b, c, d and e From given data, a + b + c + d + e = 36 x 5 = 180b + c = 107Let a = xe = x-8d = x-3now 3x - 11 + 107 = 1803x = 84x = 28e's score = 28-8 = 20
Q: In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ? 2518 05b5cc71be4d2b4197774f544
5b5cc71be4d2b4197774f544- 176false
- 254true
- 364false
- 448false
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Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Let R, G and B represent the number of balls in red, green and blue boxes respectively. Then, . R + G + B = 108 ...(i), G + R = 2B ...(ii) B = 2R ...(iii) From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R. Putting G = 3R and B = 2R in (i), we get: R + 3R + 2R = 108 6R = 108 R = 18. Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.
Q: Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ? 1643 05b5cc71be4d2b4197774f53f
5b5cc71be4d2b4197774f53f- 1Both are equally goodfalse
- 29 3/4% stock at 117true
- 3Cannot be compared, as the total amount of investment is not givenfalse
- 411% stock at 143false
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Answer : 2. "9 3/4% stock at 117"
Explanation :
Answer: B) 9 3/4% stock at 117 Explanation: Let investment in each case be Rs. (143 x 117). Income in 1st case = Rs.11143 x 143 x 117 = Rs. 1287.Income in 2nd case = Rs.394×117 x 143 x 117= Rs. 1394.25 Clearly, 9 3/4% stock at 117 is better.