IIT JEE Practice Question and Answer
8Q: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order? 6214 05b5cc7f2e4d2b41977751e93
5b5cc7f2e4d2b41977751e93- 1Nonefalse
- 2Onefalse
- 3Twofalse
- 4Threetrue
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Answer : 4. "Three"
Explanation :
Answer: D) Three Explanation: Given Number: 4 2 1 5 7 9 3 6 8 Ascending order: 1 2 3 4 5 6 7 8 9 Hence the required pairs are 12, 49, 16
Q: If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number 93217648 and using each only once, which of the following is that two-digit odd number? 1374 05b5cc7f2e4d2b41977751e89
5b5cc7f2e4d2b41977751e89- 117false
- 219true
- 315false
- 421false
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Answer : 2. "19"
Explanation :
Answer: B) 19 Explanation: Second, fourth and the sixth digits of the number are 3, 1 and 6. Using these digits only once we can make 361, which is a perfect square number. Hence, our answer is 19 x 19 = 361
Q: If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement? 1312 05b5cc7f2e4d2b41977751e7a
5b5cc7f2e4d2b41977751e7a- 110true
- 29false
- 38false
- 46false
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Answer : 1. "10"
Explanation :
Answer: A) 10 Explanation: Given Number : 2 5 6 7 3 9 4 8 Ascending order : 2 3 4 5 6 7 8 9 Specified letters are 6 and 4 respectively. Hence, required sum = (4 + 6 = 10)
Q: The purest form of iron is 1311 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: The State which tops in the production of rubber is 1884 25b5cc7ece4d2b41977751bf5
5b5cc7ece4d2b41977751bf5- 1Tamil Nadufalse
- 2Karnatakafalse
- 3Keralatrue
- 4Orissafalse
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Answer : 3. "Kerala"
Explanation :
Answer: C) Kerala Explanation: A uniformly high temperature of 800F and the annual rainfall of 80 inches or more, required by rubber is available in Kerala.
Q: Which region in India is known as the "Rice Bowl of India"? 6499 25b5cc7dfe4d2b41977751659
5b5cc7dfe4d2b41977751659- 1Indo-Gangetic plainfalse
- 2Krishna-Godavari Delta regiontrue
- 3North-East regionfalse
- 4Kerala and Tamil Nadufalse
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Answer : 2. "Krishna-Godavari Delta region"
Explanation :
Answer: B) Krishna-Godavari Delta region Explanation: In India, the Krishna-Godavari Delta region is called as "Rice Bowl of India". Coming to the Indian State, Chhattisgarh is known as Rice Bowl of India.
Q: From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is 27582 25b5cc7d7e4d2b4197775151a
5b5cc7d7e4d2b4197775151a- 181.92Lfalse
- 296Lfalse
- 3118.08Ltrue
- 4None of thesefalse
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Answer : 3. "118.08L"
Explanation :
Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations = 200 × 1-402004 = 200 × 454 = 200 × 256625 = 81.92 litres Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres
Q: From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 13561 15b5cc7d7e4d2b41977751510
5b5cc7d7e4d2b41977751510- 175 litresfalse
- 2100 litresfalse
- 3150 litresfalse
- 4120 litrestrue
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Answer : 4. "120 litres"
Explanation :
Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169 It means wine(left)wine(initial amount) = 343512 (since 343 + 169 = 512) Thus, 343x = 512x1 - 15k3 343512 = 783 = 1 - 15k3 1-15k=78=1-18 Thus the initial amount of wine was 120 liters.