IIT JEE Practice Question and Answer

Q: One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is? 6334 0

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    Rs. 1600
    Correct
    Wrong
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    Rs. 1700
    Correct
    Wrong
  • 3
    Rs. 1800
    Correct
    Wrong
  • 4
    Rs. 1900
    Correct
    Wrong
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Answer : 1. "Rs. 1600"
Explanation :

Answer: A) Rs. 1600 Explanation: Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively. Then, from the given data, M1/S1 = 3/4  .....(1) M1/M2 = 4/5 .....(2) S1/S2 = 2/3  .....(3) and M2 + S2 = 4160  .....(4)   Solving all these eqtns, we get M2 = Rs. 1600.

Q: If A + B = 2C and C + D = 2A, then 6332 0

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    A + C = B + D
    Correct
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    A + C = 2D
    Correct
    Wrong
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    A + D = B + C
    Correct
    Wrong
  • 4
    A + C = 2B
    Correct
    Wrong
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Answer : 1. "A + C = B + D"
Explanation :

Answer: A) A + C = B + D Explanation: Given,   A + B = 2C ----(i)   C + D = 2A----(ii)   Adding (i) and (ii) we get : A + B + C + D = 2C + 2A   =>  B + D = A + C

Q: Find the odd number out of the following number series? 2 4 8 11.5 18.25 28.375 6328 0

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    18.25
    Correct
    Wrong
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    28.375
    Correct
    Wrong
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    11.5
    Correct
    Wrong
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    8
    Correct
    Wrong
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Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: Given number series follows a pattern that, 2 2 x 1.5 + 1 = 4 4 x 1.5 + 1 = 7 (not equal to 8) 7 x 1.5 + 1 = 11.5 11.5 x 1.5 + 1 = 18.25 18.25 x 1.5 + 1 = 28.375   Hence, the odd number in the given number series is 8.

Q: The process of collecting, organizing and analyzing data is called 6292 0

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    Statistics
    Correct
    Wrong
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    Data collection
    Correct
    Wrong
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    Probability
    Correct
    Wrong
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    Systematic evaluation
    Correct
    Wrong
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Answer : 1. "Statistics"
Explanation :

Answer: A) Statistics Explanation: The process of collecting, organizing and analyzing data is called Statistics.

Q: Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue? 6247 0

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    41
    Correct
    Wrong
  • 2
    40
    Correct
    Wrong
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    28
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 3. "28"
Explanation :

Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.   We may consider the two cases as under: Case I:  ←3C↔8B↔5A→21   Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40   Case II:  ←3C A↔5B   Number of persons between A and C                     = (8 - 6) = 2    ∵[C↔8B A→21B]   Clearly number of persons in the queue = (3+1+2+1+21) = 28   Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

Q: Vaunt : Flaunt :: Disparate : ? 6242 0

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    Similar
    Correct
    Wrong
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    Homogenous
    Correct
    Wrong
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    Contrast
    Correct
    Wrong
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    Alike
    Correct
    Wrong
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Answer : 3. "Contrast"
Explanation :

Answer: C) Contrast Explanation: Vaunt - Vaunt means to boast or to praise about something excessively. Flaunt - Flaunt also means to boast about something or to praise something.   Flaunt is the synonym of the word Vaunt.   Disparate - Disparate means essentially different in its kind or unlike or not able to be compared. Then the required word is the synonym of Disparate.   Here in the given options, Contrast is the only word which is similar in meaning of Disparate.   Hence, Vaunt : Flaunt :: Disparate : Contrast.

Q: What is the number of digits in 333? Given that log3 = 0.47712? 6237 0

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    12
    Correct
    Wrong
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    13
    Correct
    Wrong
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    14
    Correct
    Wrong
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    15
    Correct
    Wrong
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Answer : 2. "13"
Explanation :

Answer: B) 13 Explanation:  Let   Let x=333 = 333    Then, logx = 33 log3     = 27 x 0.47712 = 12.88224    Since the characteristic in the resultant value of log x is 12   ∴The number of digits in x is (12 + 1) = 13    Hence the required number of digits in 333is 13.

Q: Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ? 6227 0

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    4 days
    Correct
    Wrong
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    8 days
    Correct
    Wrong
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    3 days
    Correct
    Wrong
  • 4
    6 days
    Correct
    Wrong
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Answer : 4. "6 days"
Explanation :

Answer: D) 6 days Explanation: 4/10 + 9/x = 1     => x = 15    Then both can do in  1/10 + 1/15 = 1/6     => 6 days

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