IIT JEE Practice Question and Answer
8Q: Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ? 4437 05b5cc73ae4d2b4197774f8ce
5b5cc73ae4d2b4197774f8ce- 1E = 15 & Y = 3false
- 2E = 14 & Y = 12false
- 3E = 40 & Y = 22false
- 4E = 4 & Y = 2true
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Answer : 4. "E = 4 & Y = 2"
Explanation :
Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E Let the the age of the younger boy = Y Given that Y = cube root of EY => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE The Mother's age = EY/2 But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2) Then now from the given options we can identify which satisfies the all the conditions. Here Y =2 and E = 4 satisfies all the conditions.
Q: What word in the English language is always spelled incorrectly? 4432 05b5cc698e4d2b4197774c631
5b5cc698e4d2b4197774c631- 1Schezwanfalse
- 2Yorkerfalse
- 3Incorrectlytrue
- 4Psycologicallyfalse
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Answer : 3. "Incorrectly"
Explanation :
Answer: C) Incorrectly Explanation: INCORRECTLY is the only English word which is always spelled incorrectly.
Q: Who set up the world's first floating ATM ? 4430 05b5cc711e4d2b4197774f3f5
5b5cc711e4d2b4197774f3f5- 1Bank of Americafalse
- 2Barclays Bankfalse
- 3Axis Bankfalse
- 4State Bank of Indiatrue
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Answer : 4. "State Bank of India"
Explanation :
Answer: D) State Bank of India Explanation: India's banking behemoth -- the State Bank of India -- has set up the world's first-ever floating ATM on a boat in Kerala. The boat with the ATM on board will berth at jetties in Kerala's huge backwaters through which thousands of people travel daily.
Q: If a soldier fires 7 shots from a gun in 12 minutes then find the total number of shots fired by the man in 3/2 hrs. 4428 05b5cc6b4e4d2b4197774d49b
5b5cc6b4e4d2b4197774d49b- 145false
- 244false
- 346true
- 447false
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Answer : 3. "46"
Explanation :
Answer: C) 46 Explanation: Here given soldier shots 7 shots in 12 min => 1 shot doen't take any time in 12 min => Only 6 shots take 12 min 12 min ------ 6 shots 90 min ------ ? shots => 90 x (6/12) = 45 Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.
Q: In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for ? 4423 05b5cc745e4d2b4197774fa3b
5b5cc745e4d2b4197774fa3b- 1SHAFTfalse
- 2SHOOTtrue
- 3RAFTSfalse
- 4ROOTSfalse
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Answer : 2. "SHOOT"
Explanation :
Answer: B) SHOOT Explanation: AS HARD is coded as "1357" and SOFT is coded as "2468"So H is coded as 1, A as 3, R as 5, D as 7and S as 2, O as 4, F as 6, T as 8 Now in 21448, go number by number2 is the code for S1 is the code for H4 is the code for Oand 8 is the code for T hence, 21448 will stand for SHOOT
Q: Excel displays the current cell address in the 4421 05b5cc655e4d2b4197774bd44
5b5cc655e4d2b4197774bd44- 1Title Barfalse
- 2Name Boxtrue
- 3Status Barfalse
- 4Formula barfalse
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Answer : 2. "Name Box"
Explanation :
Answer: B) Name Box Explanation:
Q: A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ? 4417 05b5cc73ae4d2b4197774f8d8
5b5cc73ae4d2b4197774f8d8- 17 hrsfalse
- 27.5 hrstrue
- 38 hrsfalse
- 48.25 hrsfalse
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Answer : 2. "7.5 hrs"
Explanation :
Answer: B) 7.5 hrs Explanation: Let there are L men job requires LK man hours. job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.
Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4401 05b5cc6bde4d2b4197774d8de
5b5cc6bde4d2b4197774d8de- 1A gain of Rs. 27false
- 2A loss of Rs. 37true
- 3A loss of Rs. 27false
- 4A gain of Rs. 37false
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Answer : 2. "A loss of Rs. 37"
Explanation :
Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is: 64 − 27 = 37 A loss of Rs.37