IIT JEE Practice Question and Answer
8Q: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 1800 05b5cc73ae4d2b4197774f8a1
5b5cc73ae4d2b4197774f8a1- 131/25false
- 215/17true
- 314/25false
- 411/16false
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Answer : 2. "15/17"
Explanation :
Answer: B) 15/17 Explanation: The original fraction is 2551 × 350+100150+100 = 15/17.
Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 1767 05b5cc73ae4d2b4197774f89c
5b5cc73ae4d2b4197774f89c- 16.5%false
- 26%false
- 35%true
- 44.5%false
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Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .
Q: Statements : All keys are locks. All locks are bangles. All bangles are cars. Conclusion : a. Some cars are locks. b. Some bangles are keys. c. Some cars are keys. 1986 05b5cc736e4d2b4197774f897
5b5cc736e4d2b4197774f897- 1Only a followsfalse
- 2Only c followsfalse
- 3Only a & b followsfalse
- 4a, b & c followstrue
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Answer : 4. "a, b & c follows"
Explanation :
Answer: D) a, b & c follows Explanation: All locks are bangles + All bangles are cars = A + A = A= All locks are cars => Some cars are locks.Hence conclusion (a) follows.All keys are locks + All locks are bangles = A + A = A= All keys are bangles => some bangles are keys.Hence conclusion (b) follows.All keys are bangles + All bangles are cars = A + A = A= All keys are cars => Some cars are keys.Hence conclusion (C) follows. Thus all a, b and c follows.
Q: There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ? 1120 05b5cc736e4d2b4197774f892
5b5cc736e4d2b4197774f892- 132true
- 224false
- 326false
- 438false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Let the first number be K and second number be LThen, 2K + 3L = 100.....(1)3K + 2L = 120.......(2)solving (1)&(2), we getK = 32 and L = 12 Hence the largest number is 32.
Q: Each consonant in the word TIRADES is replaced by the previous letter in the English alphabet and each vowel is replaced by the next letter in the English alphabet and the new letters are arranged alphabetically. Which of the following will be the fourth from the right end ? 3184 05b5cc736e4d2b4197774f888
5b5cc736e4d2b4197774f888- 1Sfalse
- 2Qfalse
- 3Jtrue
- 4Ufalse
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Answer : 3. "J"
Explanation :
Answer: C) J Explanation: Given word is TIRADESNow the consonants T, R, D, S are replaced by S, Q, C, RAnd Vowels are I, A, E are replaced by J, B and FThey are arranged alphabeticallyNew word is BCFJQRS The fourth letter from the right end is J.
Q: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ? 1139 05b5cc736e4d2b4197774f88d
5b5cc736e4d2b4197774f88d- 122false
- 236true
- 332false
- 426false
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Answer : 2. "36"
Explanation :
Answer: B) 36 Explanation: Total number of students = 54 x 30When arranged in rows of 45, number of rows formed are, 54x3045 = 36.
Q: The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ? 1254 05b5cc736e4d2b4197774f883
5b5cc736e4d2b4197774f883- 112.24 yrsfalse
- 213.25 yrsfalse
- 316 yrsfalse
- 415.25 yrstrue
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Answer : 4. "15.25 yrs"
Explanation :
Answer: D) 15.25 yrs Explanation: Total ages of 80 boys = 15 x 80 = 1200 yrs.Total age of 16 boys = 15 x 16 = 240 yrsTotal age of 25 boys = 14 x 25 = 350 yrs.Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.
Q: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ? 2336 05b5cc736e4d2b4197774f87e
5b5cc736e4d2b4197774f87e- 155 kmstrue
- 235 kmsfalse
- 325 kmsfalse
- 465 kmsfalse
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Answer : 1. "55 kms"
Explanation :
Answer: A) 55 kms Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 90 => x = 90 - yBut according to the question,7x + 6y = 5957(90-y) + 6y = 595=> 630 - 7y + 6y = 595=> y = 630 - 595 = 35=> x = 90 - 35 = 55Therefore, the distance travelled by taxi is 55 kms.