IIT JEE Practice Question and Answer
8Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 861 05b5cc741e4d2b4197774f9d6
5b5cc741e4d2b4197774f9d6- 16/19false
- 23/10true
- 37/10false
- 46/17false
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Answer : 2. "3/10"
Explanation :
Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.
Q: Choose apropriate words which gives a complete meaning to the sentence from the given options. we were thinking ______ it _______ something like a requiem for our age. 1593 05b5cc741e4d2b4197774f9c7
5b5cc741e4d2b4197774f9c7- 1for, becausefalse
- 2for, asfalse
- 3of, astrue
- 4of, sincefalse
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Answer : 3. "of, as"
Explanation :
Answer: C) of, as Explanation:
Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 2764 05b5cc741e4d2b4197774f9cc
5b5cc741e4d2b4197774f9cc- 1Rs. 1595.14true
- 2Rs. 1793.4false
- 3Rs. 595.14false
- 4Rs. 1551.5false
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Answer : 1. "Rs. 1595.14"
Explanation :
Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.
Q: Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their trades. 1. Mr. A sits opposite to cook 2. Miss b sits right to the barber.3. The washer man is on the left of the tailor 4. Miss D sits opposite Mr. C What are the trades of A and B ? 2392 05b5cc741e4d2b4197774f9bd
5b5cc741e4d2b4197774f9bd- 1Tailor and Barberfalse
- 2Tailor and cooktrue
- 3Barber and cookfalse
- 4washer man and cookfalse
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Answer : 2. "Tailor and cook"
Explanation :
Answer: B) Tailor and cook Explanation: Clealry, C and D sit opposite to each other. So, if A sits opposite to cook, B shall be the cook.Now, B is to the right of barber. So, one of the rest, say C will be barber.Clealry, then D on the opposite side shall be washerman or tailor. But, washerman is left of tailor and D on the left of A.So, D is washerman and A is tailor. Thus, A and B are Tailor and Cook.
Q: What is the number that should come in the place of question mark ? 1050 420 168 67.2 ? 913 05b5cc741e4d2b4197774f9c2
5b5cc741e4d2b4197774f9c2- 119.11false
- 214.25false
- 310.752false
- 426.88true
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Answer : 4. "26.88"
Explanation :
Answer: D) 26.88 Explanation: Given series follows the rule of 1050/2.5 = 420420/2.5 = 168168/2.5 = 67.2so 67.2/2.5 = 26.88
Q: The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ? 2599 05b5cc741e4d2b4197774f9b8
5b5cc741e4d2b4197774f9b8- 127, 9, 21false
- 29, 21, 27false
- 321, 27, 9false
- 49, 27, 21true
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Answer : 4. "9, 27, 21"
Explanation :
Answer: D) 9, 27, 21 Explanation: Let Anushka age = XCharu latha 12 yrs older than Anushka so Charu latha age = x+12Kajal is thrice as old as Anushka so Kajal age = 3xThe ages of Anushka, Kajal and Charu latha together are 57 yearsi.e x + (x+12) + 3x = 57=> 5x = 45:- x = 9Anushka age = 9Kajal age = 3x = 27Charu latha age = x+12 = 21
Q: Pointing to a lady , a man said," The son of her only brother is the brother of my wife."How is the lady related to the man ? 1445 05b5cc741e4d2b4197774f9ae
5b5cc741e4d2b4197774f9ae- 1sister of father-in-lawtrue
- 2sisterfalse
- 3motherfalse
- 4mother-in-lawfalse
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Answer : 1. "sister of father-in-law"
Explanation :
Answer: A) sister of father-in-law Explanation: Brother of person's wife → brother-in-law of the person. Hence, the son of lady's brother is brother-in-law of the person. Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law.
Q: When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ? 947 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
- 26false
- 33true
- 41false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: Number = quotient x divisor + remainder;so, herenumber = 138 k + 26=> (23 x 6k) + (23+3)=> 23(6k+1)+3so, remainder is 3.