IIT JEE Practice Question and Answer
8Q: What is the right most integer of the expression 65776759 + 54697467 ? 9965 05b5cc731e4d2b4197774f81e
5b5cc731e4d2b4197774f81e- 14false
- 26false
- 39true
- 40false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: Last digit for the power of 6 is 6 (always) Power cycle of 7 is 7, 9, 3, 1. Now 467/4 gives a remainder of 3 Then the last digit is 73 = 3 Last digit is 6 + 3 = 9.
Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 2984 05b5cc731e4d2b4197774f814
5b5cc731e4d2b4197774f814- 1120true
- 2240false
- 3360false
- 4180false
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Answer : 1. "120"
Explanation :
Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.
Q: Statement: The Chairman stressed the need for making education system more flexible and regretted that the curriculum has not been revised in keeping with the pace of the changes taking place.Course of action:a. Curriculum should be reviewed and revised periodically.b. System of education should be made more flexible. 1787 05b5cc731e4d2b4197774f80f
5b5cc731e4d2b4197774f80f- 1Only a followsfalse
- 2Only b followsfalse
- 3Both a & b followstrue
- 4Neither a nor b followsfalse
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Answer : 3. "Both a & b follows"
Explanation :
Answer: C) Both a & b follows Explanation: Clearly, the situation demands making the education system more flexible and changing it periodically according to the needs of the time. So, both the courses follow.
Q: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ? 1279 05b5cc731e4d2b4197774f805
5b5cc731e4d2b4197774f805- 15040true
- 22525false
- 32052false
- 44521false
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Answer : 1. "5040"
Explanation :
Answer: A) 5040 Explanation: The Word LOGARITHMS contains 10 letters. To find how many 4 letter words we can form from that = P410 =10x9x8x7 = 5040.
Q: What is the next letter of the following sequence. N , O , M , P , L , Q , K , R , ? 4560 05b5cc731e4d2b4197774f80a
5b5cc731e4d2b4197774f80a- 1Sfalse
- 2Ifalse
- 3Jtrue
- 4Tfalse
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Answer : 3. "J"
Explanation :
Answer: C) J Explanation: Here the series has mixed two series.n m l k...! reverse alphabeto p q r ...! forward alphabetSo the letter before k is j and after that letter after r is s and so on...
Q: Which digits will come in the place of '?' in the following series ? 372, 823, 644, 582, 46?, 8?7 1327 05b5cc731e4d2b4197774f800
5b5cc731e4d2b4197774f800- 14, 4false
- 26, 2true
- 33, 2false
- 42, 5false
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Answer : 2. "6, 2"
Explanation :
Answer: B) 6, 2 Explanation: Given series is 372, 823, 644, 582, 46?, 8?7 Here the series follow the rule that :372 = 3+7+2 = 12823 = 8+2+3 = 13644 = 6+4+4 = 14582 = 5+8+2 = 1546? = 4+6+? = 16 => ? = 68?7 = 8+?+7 = 17 => ? = 2 So the missing numbers are 6 and 2
Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 1325 05b5cc731e4d2b4197774f7fb
5b5cc731e4d2b4197774f7fb- 16false
- 28false
- 34true
- 49false
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Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
Q: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 4212 05b5cc731e4d2b4197774f7f6
5b5cc731e4d2b4197774f7f6- 1suppressing, conflicttrue
- 2expressing, hostilityfalse
- 3stifling, temperancefalse
- 4rousing, wrathfalse
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Answer : 1. "suppressing, conflict"
Explanation :
Answer: A) suppressing, conflict Explanation: