IIT JEE Practice Question and Answer
8Q: A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 2142 05b5cc7d0e4d2b41977751213
5b5cc7d0e4d2b41977751213- 135/96false
- 219/90true
- 319/96false
- 4None of thesefalse
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Answer : 2. "19/90"
Explanation :
Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore Probability of choosing A = 2C19C1×1C110C1 = 1/45 Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability = 145+145+110+115= 1990
Q: Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position? 2142 05b5cc7b9e4d2b41977750941
5b5cc7b9e4d2b41977750941- 1South-Eastfalse
- 2North-Easttrue
- 3South-Westfalse
- 4North-Westfalse
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Answer : 2. "North-East"
Explanation :
Answer: B) North-East Explanation: Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet) N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900 Thus, the direction from his original position is North-East.
Q: In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ? 2142 05b5cc7a5e4d2b41977750665
5b5cc7a5e4d2b41977750665- 14true
- 26false
- 38false
- 410false
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Answer : 1. "4"
Explanation :
Answer: A) 4 Explanation: Let 1310 = x => 3x = 10 Given that 125=3 Therefore, 52x = 10 => x = 10/3 = 4.
Q: If CGKQW is one sequence following a logic, and another five-letter sequence following similar type of logic is BFJPV, then one more variation of this type can be ? 2142 05b5cc72ce4d2b4197774f77e
5b5cc72ce4d2b4197774f77e- 1VPCFTfalse
- 2DHLRXtrue
- 3CFKNTfalse
- 4Nonefalse
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Answer : 2. "DHLRX"
Explanation :
Answer: B) DHLRX Explanation: The logic behind the sequence given in the question is +4, +4, +6, +6Therefore, the sequence which follows the same logic in the given options is DHLRX.
Q: Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ? 2142 05b5cc70be4d2b4197774f2f6
5b5cc70be4d2b4197774f2f6- 160%false
- 240%true
- 350%false
- 430%false
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Answer : 2. "40%"
Explanation :
Answer: B) 40% Explanation: Lets say shyam sells at 100, Since Ram sells 25% cheaper than Shyam, Therefor Ram sells at less than 25% of100 or 75 rs. Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or 125% of x (say x price of bram )=75rs.or 100% of x =60rs.hence price of bram is 60rs. now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%. Hence Brams Good is 40% cheaper than that of Shyam's good.
Q: Which value is equal to 5% of 1,500? 2141 05b5cc666e4d2b4197774bee9
5b5cc666e4d2b4197774bee9- 135false
- 255false
- 375true
- 445false
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Answer : 3. "75"
Explanation :
Answer: C) 75 Explanation: In the question it is asked for 5% of 1500 5 x 1500/100 = 15 x 5 = 75. Hence, 5% of 1,500 is equal to 75.
Q: Which letter indicates systolic pressure? 2141 05b5cc675e4d2b4197774c0dd
5b5cc675e4d2b4197774c0dd- 1ifalse
- 2bfalse
- 3cfalse
- 4atrue
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Answer : 4. "a"
Explanation :
Answer: D) a Explanation: a - at the peak of changes in blood pressure indicates the systiolic pressure.
Q: Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book? 2141 05b5cc60de4d2b4197774b61d
5b5cc60de4d2b4197774b61d- 158false
- 260true
- 355false
- 445false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: -5-----------------------5-------------------20 5-(-5) = 10 20-5= 15 Ratio of cost price of book1 and book2 = 3:2 Then cost price of book 1 is given by (3/5) x 100 = Rs. 60.