IIT JEE Practice Question and Answer
8Q: 36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ? 1385 05b5cc6cfe4d2b4197774e2f4
5b5cc6cfe4d2b4197774e2f4- 15true
- 26false
- 37false
- 48false
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: The following arrangements satisfy all 3 conditions. Arrangement 1: 3 books in a row; 12 rows. Arrangement 2: 4 books in a row; 9 rows.Arrangement 3: 6 books in a row; 6 rows.Arrangement 4: 9 books in a row; 4 rows.Arrangement 5: 12 books in a row; 3 rows. Therefore, the possible arrangements are 5.
Q: You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ? 1385 05b5cc745e4d2b4197774fa4a
5b5cc745e4d2b4197774fa4a- 125 kmphfalse
- 224 kmphtrue
- 326 kmphfalse
- 422 kmphfalse
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Answer : 2. "24 kmph"
Explanation :
Answer: B) 24 kmph Explanation: Average speed=total distance/total timeLet distance to store be Kthen, total time =(K/20)+(K/30)=K/12and, total time =(2K)so average speed= 2K / (K/12) = 24kmph.
Q: 3 : 12 :: 5 : ? 1383 05b5cc6b9e4d2b4197774d702
5b5cc6b9e4d2b4197774d702- 117false
- 230true
- 326false
- 432false
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Answer : 2. "30"
Explanation :
Answer: B) 30 Explanation: 332 + 3 = 12552 + 5 = 30
Q: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1382 05b5cc6e2e4d2b4197774ec39
5b5cc6e2e4d2b4197774ec39- 1Rs. 5858false
- 2Rs. 8800false
- 3Rs. 7000true
- 4Rs. 6350false
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Answer : 3. "Rs. 7000"
Explanation :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.
Q: What part of the atom has a positive charge? 1382 05b5cc694e4d2b4197774c4c6
5b5cc694e4d2b4197774c4c6- 1Neutronfalse
- 2Protontrue
- 3Electronfalse
- 4All the abovefalse
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Answer : 2. "Proton"
Explanation :
Answer: B) Proton Explanation: Protons carry a positive electrical charge, electrons carry a negative electrical charge and neutrons carry no electrical charge at all. The protons and neutrons cluster together in the central part of the atom, called the nucleus, and the electrons 'orbit' the nucleus.
Q: One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red. 1381 05b5cc6c8e4d2b4197774df1e
5b5cc6c8e4d2b4197774df1e- 12/3false
- 21/2true
- 31/52false
- 413/51false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.
Q: Which compound contains ionic bonds? 1380 05b5cc639e4d2b4197774baac
5b5cc639e4d2b4197774baac- 1CaOtrue
- 2CO2false
- 3NO2false
- 4NOfalse
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Answer : 1. "CaO"
Explanation :
Answer: A) CaO Explanation: An ionic bond is a chemical bond between two atoms in which one atom seems to donate its electron to another atom. Here in the given compounds, the compound that contains ionic bond is CaO, Calcium oxide.
Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 1380 05b5cc72ce4d2b4197774f75f
5b5cc72ce4d2b4197774f75f- 160 mtsfalse
- 2120 mtsfalse
- 3240 mtsfalse
- 4360 mtstrue
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Answer : 4. "360 mts"
Explanation :
Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.

