IIT JEE Practice Question and Answer
8Q: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 3940 05b5cc6bee4d2b4197774d992
5b5cc6bee4d2b4197774d992- 16548false
- 25667false
- 37556true
- 48457false
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Answer : 3. "7556"
Explanation :
Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556
Q: Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially? 3938 05b5cc6a6e4d2b4197774cd8c
5b5cc6a6e4d2b4197774cd8c- 1153145 kgsfalse
- 2147890 kgsfalse
- 3152400 kgsfalse
- 4149600 kgstrue
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Answer : 4. "149600 kgs"
Explanation :
Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5 = 149600 kgs. Therefore, the initial gold quantity that king has = p = 149600 kgs.
Q: Which of the following is not an allotrope of carbon? 3934 05b5cc683e4d2b4197774c292
5b5cc683e4d2b4197774c292- 1Diamondfalse
- 2Graphenefalse
- 3Ethylenetrue
- 4Buckminsterfullerenefalse
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Answer : 3. "Ethylene"
Explanation :
Answer: C) Ethylene Explanation: Allotropes are different structural modifications of an element, that is, each of two or more different physical forms in which an element can exist. Carbon is capable of forming many allotropes due to its valency. Well-known forms of carbon include charcoal, diamond, graphite, buckminsterfullerene and graphene. Hence, Ethylene is not an allotrope of Carbon.
Q: Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is ? 3926 05b5cc6e0e4d2b4197774eb57
5b5cc6e0e4d2b4197774eb57- 13 : 4false
- 24 : 3true
- 32 : 3false
- 43 : 2false
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Answer : 2. "4 : 3"
Explanation :
Answer: B) 4 : 3 Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4:3
Q: In a row of boys, Haran is eleventh from the left and manoj is seventeenth form the right. When they exchange their places than Haran will be thirteenth from the left. Which of the following will be the new position of Manoj from the right ? 3914 05b5cc6c6e4d2b4197774de4f
5b5cc6c6e4d2b4197774de4f- 111false
- 219true
- 313false
- 417false
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Answer : 2. "19"
Explanation :
Answer: B) 19 Explanation: Here total number of boys in the row = 11 + 19 = 13 + 17 = 30 Here after exchanging the places of Haran & Manoj => Manoj replaces Harans place of 11th from left But in the question he asked Manoj's place from right = 30 - 11 = 19th place.
Q: A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ? 3906 05b5cc73de4d2b4197774f972
5b5cc73de4d2b4197774f972- 1Rs. 1800false
- 2Rs. 2000false
- 3Rs. 1400false
- 4Rs. 1250true
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Answer : 4. "Rs. 1250"
Explanation :
Answer: D) Rs. 1250 Explanation: 2500 in 5th year and 3000 in 7th year So in between 2 years Rs. 500 is increased => for a year 500/2 = 250So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250Hence, the initial amount must be 2500 - 1250 = Rs. 1250
Q: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ? 3892 05b5cc6eee4d2b4197774ef11
5b5cc6eee4d2b4197774ef11- 12 9/7 kmfalse
- 23 7/5 kmfalse
- 31 3/4 kmfalse
- 44 3/8 kmtrue
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Answer : 4. "4 3/8 km"
Explanation :
Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ¾ - 4 ½ = 1 ¼ Time = 3 ½ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.
Q: In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ? 3883 05b5cc6ebe4d2b4197774ee9b
5b5cc6ebe4d2b4197774ee9b- 1910false
- 21000false
- 3970false
- 4None of the abovetrue
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Answer : 4. "None of the above"
Explanation :
Answer: D) None of the above Explanation: 504/M = 384/800 (504 x 800) / 384 = M M = 1050