**IIT JEE **Practice Question and Answer

8## Q:What was the day of the week on 17th June, 1998 ? 2868 65b5cc761e4d2b4197774fd16

5b5cc761e4d2b4197774fd16- 1Mondayfalse
- 2Tuesdayfalse
- 3Wednesdaytrue
- 4Fridayfalse

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## Answer : 3. "Wednesday"

Explanation :

Answer: C) Wednesday Explanation: 17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)Odd days in 1600 years = 0Odd days in 300 years = 197 years has 24 leap years + 73 ordinary years.Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.Jan. Feb. March. April. May. June.(31 + 28 + 31 + 30 + 31 + 17) = 168 days168 days = 24 weeks = 0 odd day.Total number of odd days = (0 + 1 + 2 + 0) = 3.Given day is Wednesday.

## Q:If the true discount on sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ? 3355 45b5cc723e4d2b4197774f6a4

5b5cc723e4d2b4197774f6a4- 1Rs.948false
- 2Rs.876false
- 3Rs.768true
- 4Rs.658false

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## Answer : 3. "Rs.768"

Explanation :

Answer: C) Rs.768 Explanation: P.W. = 100×T.DR×T = 100×16814×2 = 600. Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

## Q:In a class of 180, where girls are twice the number of boys, Rupesh[a boy] ranked 34th from the top. If there are 18 girls ahead of Rupesh, how many boys are after him in rank? 1095 05b5cc7f3e4d2b41977751ec0

5b5cc7f3e4d2b41977751ec0- 145false
- 244true
- 360false
- 4can't be determinedfalse

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## Answer : 2. "44"

Explanation :

Answer: B) 44 Explanation: No. of boys up to the 34th rank = 34-18 = 16 Total no of boys = 180x1/2+1 = 60 number of boys after the rank of Rupesh = 60 - 16 = 44

## Q:In a class of 50 students M is eighth from top. H is 20th from bottom. How many students are there between M and H? 900 05b5cc7f3e4d2b41977751ebb

5b5cc7f3e4d2b41977751ebb- 122true
- 223false
- 324false
- 4can't be determinedfalse

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## Answer : 1. "22"

Explanation :

Answer: A) 22 Explanation: M is 8th from the top. H is (50 - 20 + 1 =) 31 st from the top. Number of students between M and H = (31 - 8- 1=)22

## Q:In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W? 882 05b5cc7f3e4d2b41977751eb6

5b5cc7f3e4d2b41977751eb6- 115false
- 216true
- 317false
- 4can't be determinedfalse

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## Answer : 2. "16"

Explanation :

Answer: B) 16 Explanation: W = 10th from the left R = 4th from the right = (30 - 4 + 1= ) 27th from left No of boys between R and W = (27 - 10) - 1 = 16

## Q:Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue? 1001 05b5cc7f2e4d2b41977751eac

5b5cc7f2e4d2b41977751eac- 141false
- 240false
- 328true
- 427false

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## Answer : 3. "28"

Explanation :

Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB. We may consider the two cases as under: Case I: ←3C↔8B↔5A→21 Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40 Case II: ←3C A↔5B Number of persons between A and C = (8 - 6) = 2 ∵[C↔8B A→21B] Clearly number of persons in the queue = (3+1+2+1+21) = 28 Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

## Q:What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 766 05b5cc7f2e4d2b41977751ea7

5b5cc7f2e4d2b41977751ea7- 19false
- 28false
- 37false
- 46true

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## Answer : 4. "6"

Explanation :

Answer: D) 6 Explanation: Here the series is: 987654321, 87654321, 7654321, 65...

## Q:How many even numbers are there in the following sequence of numbers which are immediately followed by an odd number as well as immediately preceded by an even number? 8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1 532 05b5cc7f2e4d2b41977751ea2

5b5cc7f2e4d2b41977751ea2- 12false
- 23false
- 34true
- 45false

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## Answer : 3. "4"

Explanation :

Answer: C) 4 Explanation: We have to find out even number - even number - odd number sequence. 8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1 There are four such such even numbers: 6,8,2 and 8.