AIEEE Questions

Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23 B) 432
C) 22 D) 431
 
Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

 

C19+C18+C16 = 23 will be answer.

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Filed Under: Permutations and Combinations
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2 4718
Q:

If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

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Filed Under: Numbers
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5 2961
Q:

Rearrange the following five sentences in proper sequence so as to for a meaningful paragraph, then answer the questions given below them.


1. After Examining him, the doctor smiled at him mischievously and took out a syringe.
2. Thinking that he was really sick, his father summoned the family doctor.
3. That day, Mintu wanted to take a day off from school
4. Immediately, Mintu jumped up from his bed and swore that he was fine
5. Therefore, he pretended to be sick and remained in bed.

A) 34215 B) 35241
C) 35214 D) 34251
 
Answer & Explanation Answer: C) 35214

Explanation:
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Filed Under: Deriving Conclusions From Passages
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4 4331
Q:

There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?

A) 49450 B) 50540
C) 46587 D) 52487
 
Answer & Explanation Answer: B) 50540

Explanation:

Given G + B= 41 and B = G-1
Hence, G = 21 and B = 20
Now we have 2 options,
1G and 3M
(or)
3G and 1M
(2G and 2M or 0G and 4M or 4G and oM are not allowed),

 

Total : C121×C320+C321×C120= 50540 ways.

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Filed Under: Permutations and Combinations
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2 3608
Q:

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

A) 63 and 49 B) 64 and 48
C) 62 and 46 D) 64 and 49
 
Answer & Explanation Answer: A) 63 and 49

Explanation:

Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

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Filed Under: HCF and LCM
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25 22542
Q:

Which bank has the tagline - Your Trusted Family Bank?

A) Indian Overseas Bank B) Dena Bank
C) Indian Bank D) Yes Bank
 
Answer & Explanation Answer: B) Dena Bank

Explanation:

Which_bank_has_the_tagline_Your_Trusted_Family_Bank1558506342.jpg image

Dena Bank Ltd was an Indian public sector bank with the tagline " Your Trusted Family Bank ". It was headquartered in Mumbai. The bank was founded in 1938 and the Indian government nationalized it in 1969.

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Filed Under: General Awareness
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16 8612
Q:

The primary purpose of an operating system is ?

A) To allow people to use the computer B) To make computers easier to use
C) To keep systems programmers employed D) To make the most efficient use of the computer hardware
 
Answer & Explanation Answer: D) To make the most efficient use of the computer hardware

Explanation:

The primary purpose of an operating system is to make the most efficient use of the computer hardware.

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Filed Under: Computer
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29 12868
Q:

The unit MIPS is used to measure the speed of a___.

A) Disk drive B) Tape drive
C) Printer D) Processor
 
Answer & Explanation Answer: D) Processor

Explanation:

MIPS refers millions instruction per sec and is used to measure the speed of Processor.

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Filed Under: Computer
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37 13351