IIT JEE Practice Question and Answer
8Q: If 5th March, 2005 is Monday, what was the day of the week on 5th March, 2004 ? 1412 05b5cc72ce4d2b4197774f74b
5b5cc72ce4d2b4197774f74b- 1Sundaytrue
- 2Mondayfalse
- 3Tuesdayfalse
- 4Wednesdayfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Sunday"
Explanation :
Answer: A) Sunday Explanation: The year 2004 is a leap year. So, it has 2 odd days. But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only. The day on 5th March, 2005 will be 1 day beyond the day on 5th March, 2004. Given that, 5th March, 2005 is Monday. 5th March, 2004 is Sunday (1 day before to 5th March, 2005).
Q: The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ? 4399 05b5cc72ce4d2b4197774f73c
5b5cc72ce4d2b4197774f73c- 17 ltsfalse
- 214 ltstrue
- 398 ltsfalse
- 442 ltsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "14 lts"
Explanation :
Answer: B) 14 lts Explanation: To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number. 98,182,266 all are divisible by 14 So 14 litres is the largest cylinder that can fill all the given cylinders. (or) The other method is take HCF of all given capacities i.e 98, 182 and 266.
Q: In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ? 4424 05b5cc728e4d2b4197774f737
5b5cc728e4d2b4197774f737- 138false
- 239false
- 340true
- 441false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "40"
Explanation :
Answer: C) 40 Explanation: Given M.P=45,S.P=42, Profit = 0.05 Let C.P=x , Then Profit = (42-x)/x = 0.05=> x = 40.
Q: One lady has 2 children, one of her child is boy, what is the probability of having both are boys ? 1297 05b5cc728e4d2b4197774f72d
5b5cc728e4d2b4197774f72d- 11/3true
- 21/2false
- 32/3false
- 42/5false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "1/3"
Explanation :
Answer: A) 1/3 Explanation: In a family with 2 children there are four possibilities:1) the first child is a boy and the second child is a boy (bb)2) the first child is a boy and the second child is a girl (bg)3) the first child is a girl and the second child is a boy (gb)4) the first child is a girl and the second child is a girl (gg) But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).n(E)= both are boys=BB=1n(S)= 3Required probability P = n(E)/n(S) = 1/3.
Q: An air conditioner can coo the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ? 11478 05b5cc728e4d2b4197774f723
5b5cc728e4d2b4197774f723- 118 minutesfalse
- 219 minutesfalse
- 322 minutestrue
- 424 minutesfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "22 minutes"
Explanation :
Answer: C) 22 minutes Explanation: Let the two conditioners be A and B 'A' cools at 40min 'B' at 45min Together =(axb)/(a+b) = (45x40)/85 = 21.1764 = (approx) 22 min.
Q: In how many different ways could couples be picked from 6 men and 9 women ? 934 05b5cc728e4d2b4197774f728
5b5cc728e4d2b4197774f728- 126false
- 254true
- 352false
- 428false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.
Q: There is a clock which shows false timing ie it shows 20 minutes less for each 1 hour. If the clock shows 12 noon now how many minutes will be lost when it shows 2 pm ? 1406 05b5cc728e4d2b4197774f71e
5b5cc728e4d2b4197774f71e- 136 minutesfalse
- 248 minutesfalse
- 335 minutesfalse
- 460 minutestrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "60 minutes"
Explanation :
Answer: D) 60 minutes Explanation: For 1 hour, 20 minutes is slower, then for 06 miuntes - 2 minutes is slower30 minutes - 10 minutesActual time | false time 12 12 01 PM 12:40 PM (20 minutes slower) 02 PM 01:20 PM 03 PM 02:00 PM So, when actual time is 3pm, the false time is 2 pm.So, it loses 60 minutes when it shows 2 pm.
Q: Arun is a cashew merchant in Telangana. He has cashews in sealed wooden boxes of 10kg each. The price of the cashew increases by Rs.20 per kg for every year, but at the same time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh cashew is Rs.120, what is the change in his profits if he sells a sealed box after one year of storage, rather than selling it fresh ? (In Rs.) 1762 05b5cc728e4d2b4197774f719
5b5cc728e4d2b4197774f719- 1Rs. 60true
- 2Rs. 54false
- 3Rs. 80false
- 4Rs. 75false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 60"
Explanation :
Answer: A) Rs. 60 Explanation: Price of 1kg fresh cashew = Rs.120Therefore, price of 10kg = Rs.120 x 10 = Rs.1200 10% of 10kg which eaten by rodents = 10 x 10/100 = 1kg. So, End of Year he had 10kg - 1kg = 9kg So, he sells that 9kg with Rs.20 per kg profit = 9 x 140 = 1260. He buy 10kg wooden box with cashew for Rs.1200 and sell that for Rs. 1260 So, profit = 1260 - 1200 = Rs.60 more money he get.