IIT JEE Practice Question and Answer
8Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 1166 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
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Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.
Q: GST Council has decided to keep a total of ________ items in the 28% slab, which was earlier 227. 1166 05b5cc6bfe4d2b4197774d9f6
5b5cc6bfe4d2b4197774d9f6- 1125false
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Answer : 4. "50"
Explanation :
Answer: D) 50 Explanation: The GST Council on Nov 10th 2017 cut tax rates of over 175 products that were in the highest tax slab of 28% under the Goods and Services Tax (GST) regime. Currently only 50 items have been left in the 28% category out of a total of 227 items that were present earlier.
Q: What is the capital of the country Turkmenistan ? 1165 05b5cc6cbe4d2b4197774e0d1
5b5cc6cbe4d2b4197774e0d1- 1Dushanbefalse
- 2Ashgabattrue
- 3Bishkekfalse
- 4Astanafalse
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Answer : 2. "Ashgabat"
Explanation :
Answer: B) Ashgabat Explanation:
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 ? 1164 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
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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.
Q: O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ? 1162 05b5cc701e4d2b4197774f1a8
5b5cc701e4d2b4197774f1a8- 110false
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Answer : 4. "45/4"
Explanation :
Answer: D) 45/4 Explanation: As clear from the figure itself, triangle OQX and triangle O'PX are similar. So, OQ/O'P = OX/O'X => OX = (7/9)xO'X And since, OX + O'X = 20 => (7/9)xO'X + O'X = 20 => O'X = 45/4
Q: How can we get 24 as an answer by using 6, 11, 3 and 9? 1161 05b5cc6a9e4d2b4197774cf1e
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Answer :
Explanation :
This can be solved in two ways using only 6, 11, 9 and 3 we must get 24. 1. {[(11–6) x 3] + 9} By solving this we get 5 x 3 + 9 = 15 + 9 = 24. 2. [(9–6) x (11–3)] = 3 x 8 = 24.
Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1160 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.
Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1159 05b5cc745e4d2b4197774fa13
5b5cc745e4d2b4197774fa13- 113.33 %false
- 214.25 %false
- 316.98 %false
- 418.75 %true
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Answer : 4. "18.75 %"
Explanation :
Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%