IIT JEE Practice Question and Answer

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2836 1

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    1
    Correct
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    2
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    4
    Correct
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    8
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 2835 0

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    Quarter months
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    Half year
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    2 years
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    1 year
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Answer : 2. "Half year"
Explanation :

Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.

Q: 18 H on GC?


 $$6 {4\over 9}$$ % ..???kkk

2835 0

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    ss
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    Wrong
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Answer : 1. "ss"
Explanation :

The given letters equation states that 18 H on a GC means 18 Holes on a Golf Course.

Q: Choose the antonym of the word given from the following options ? MUNDANE 2835 0

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    Extraordinary
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    Regular
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    Visionary
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    Routine
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Answer : 1. "Extraordinary"
Explanation :

Answer: A) Extraordinary Explanation:

Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2828 0

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    5%
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    6%
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    4%
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    3%
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Answer : 1. "5%"
Explanation :

Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2   and simple interest for 5 years = Rs. 2400   Now, we know that  C.I = P1+R100n - 1   => 1513.2 = P1+R1003 - 1 ...........(A)   And S.I = PTR/100   => 2400 = P5R/100 ..................(B)   By solving (A) & (B), we get   R = 5%.

Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 2826 0

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    100
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    1
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    4
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    0
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Answer : 1. "100"
Explanation :

Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28   It is in the form of  a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c   Here a = 37, b = 35 & c = 28    => a + b + c = 37 + 35 + 28 = 100       Therefore,   = 100

Q: A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ? 2824 0

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    Rs. 1100
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    Rs. 1793.4
    Correct
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    Rs. 1440
    Correct
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    Rs. 1232
    Correct
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Answer : 4. "Rs. 1232"
Explanation :

Answer: D) Rs. 1232 Explanation: Let Cost Price(C.P) = Pgain% = {(S.P-C.P)/C.P} x 10025 = {(1540-P)/P} x 10025/100 = (1540-P)/P=> P = 4(1540)-4P=> 5P = 4(1540)=> P = 1232So, Cost Price = Rs. 1232

Q: Word length of a personal computer is 2822 0

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    32 bit
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    16 bit
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    8 bit
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    4 bit
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Answer : 3. "8 bit"
Explanation :

Answer: C) 8 bit Explanation: Word length refers to the number of bits processed by a computer's CPU in one go. These days, typically 32 bits or 64 bits are used. Data bus size, instruction size, address size are usually multiples of the word size.

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