IIT JEE Practice Question and Answer
8Q: The number of ways in which 8 distinct toys can be distributed among 5 children? 4110 05b5cc699e4d2b4197774c700
5b5cc699e4d2b4197774c700- 15P8false
- 25^8true
- 38P5false
- 48^5false
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Answer : 2. "5^8"
Explanation :
Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are┬а58 ways to distribute the toys. ┬а Hence, it is 58 and not 85.
Q: An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ? 4109 05b5cc74fe4d2b4197774faea
5b5cc74fe4d2b4197774faea- 11124false
- 21420false
- 31345false
- 41250true
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Answer : 4. "1250"
Explanation :
Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.
Q: Symbolic logic was discovered by ___________ 4102 15b5cc6bfe4d2b4197774da9c
5b5cc6bfe4d2b4197774da9c- 1Herman Hollerithfalse
- 2Vonn Neumannfalse
- 3George Booletrue
- 4Sun Microsystemfalse
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Answer : 3. "George Boole"
Explanation :
Answer: C) George Boole Explanation:
Q: Artist is to painting as senator is to 4101 05b5cc636e4d2b4197774b9fa
5b5cc636e4d2b4197774b9fa- 1politicianfalse
- 2constituentsfalse
- 3attorneyfalse
- 4lawtrue
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Answer : 4. "law"
Explanation :
Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws. ┬а Hence,┬аArtist : Painting :: Senator : Law.
Q: 194, 194, 191, 183, 168, ? Find the next number in the above series? 4094 05b5cc6bce4d2b4197774d872
5b5cc6bce4d2b4197774d872- 1154false
- 2156false
- 3144true
- 4143false
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Answer : 3. "144"
Explanation :
Answer: C) 144 Explanation: Here the series follows, 194 194 - (1x1 - 1) = 194 194 - (2x2 - 1) = 191 191 - (3x3 - 1) = 183 183 - (4x4 - 1) = 168 168 - (5x5 - 1) = 144
Q: One Word substitute : Extreme old age when a man behaves like a fool 4072 05b5cc6d8e4d2b4197774e787
5b5cc6d8e4d2b4197774e787- 1Superannuationfalse
- 2Imbecilityfalse
- 3Senilityfalse
- 4Dotagetrue
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Answer : 4. "Dotage"
Explanation :
Answer: D) Dotage Explanation:
Q: Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ? 4063 05b5cc73ae4d2b4197774f8ce
5b5cc73ae4d2b4197774f8ce- 1E = 15 & Y = 3false
- 2E = 14 & Y = 12false
- 3E = 40 & Y = 22false
- 4E = 4 & Y = 2true
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Answer : 4. "E = 4 & Y = 2"
Explanation :
Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E ┬а Let the the age of the younger boy = Y ┬а Given that Y = cube root of EY ┬а => Y3┬а= EY => E =┬аY2┬а.....(1)By the condition of number replacement the age of the father is YE ┬а The Mother's age = EY/2 ┬а But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2) ┬а Then now from the given options we can identify which satisfies the all the conditions. ┬а Here Y =2 and E = 4 satisfies all the conditions.
Q: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes ┬а? 4050 05b5cc6e2e4d2b4197774ec34
5b5cc6e2e4d2b4197774ec34- 1446false
- 2415false
- 3404false
- 4430true
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Answer : 4. "430"
Explanation :
Answer: D) 430 Explanation: Let the total number of valid votes be 'V'. 70% of V = 70/100 x V = 7V/10 Number of votes secured by the other candidate = V - 7V/100 = 3V/10 Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172 => 4V = 1720 => V = 430.