AIEEE Questions

Q:

If the price of diesel increases by 25% and Karthik intends to spend only an additional 15% on diesel, by how much % will he reduce the quantity of diesel purchased ?

A) 6.67 % B) 8 %
C) 7.41 % D) 9 %
 
Answer & Explanation Answer: B) 8 %

Explanation:

Let the price of 1 litre of diesel be Rs.x and let Karthik initially buy 'y' litres of diesel.
Therefore, he would have spent Rs. xy on diesel.

When the price of diesel increases by 25%, the new price per litre of diesel is 1.25x.

Karthik intends to increase the amount he spends on diesel by 15%.
i.e., he is willing to spend xy + 15% of xy = 1.15xy

Let the new quantity of diesel that he can get be 'q'.
Then, 1.25x x q = 1.15xy
Or q = (1.15/1.25)y = 0.92y.

As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier.

Or a reduction of 8%.

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Filed Under: Percentage
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5 6507
Q:

Which ionization process requires the most energy?

A) C3+ (g) → C4+ (g) + e- B) C (g) → C+ (g) + e-
C) C2+ (g) → C3+ (g) + e- D) C+ (g) → C2+ (g) + e-
 
Answer & Explanation Answer: A) C3+ (g) → C4+ (g) + e-

Explanation:

We know that each successive IE is greater than the previous one, because each ionization process removes one electron and hence increases the total attractive force on the remaining electrons from the nucleus. Hence, C3+ (g) → C4+ (g) + e- needs more energy.

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Filed Under: Chemistry
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1 6506
Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

A) 138 to 164 B) 125 to 147
C) 148 to 158 D) 152 to 164
 
Answer & Explanation Answer: D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

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Filed Under: Numbers
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8 6501
Q:

The depth of a complete binary tree is given by

A) Dn = log 2 (n+1) B) Dn = log 1/2 (n+1)
C) Dn = log (n+1) D) Dn = log 2 (n-1)
 
Answer & Explanation Answer: A) Dn = log 2 (n+1)

Explanation:

A complete binary tree is a binary tree where all the levels have maximum number of nodes except possibly the last level.

 

The depth of complete binary tree of n nodes will be Dn=log 2 (n+1) where Dn is the height or depth of the tree and n is the number of nodes.

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9 6499
Q:

The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ?

A) 11.11% decrease B) 21.11% increase
C) 11.11% increase D) 21.11% decrease
 
Answer & Explanation Answer: A) 11.11% decrease

Explanation:

If earlier he is getting Rs. 1  per hr and working for 1 hr, income = Rs. 1
Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs

Then income for 0.66667 hrs = Rs. 0.8889.

If payment per hr is increased by 33.33 %  and working hours dereased by 33.33%, then 11.11 % decrease in income.

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3 6497
Q:

What is another name for the governor of a state?

A) Chief Executive B) Attorney General
C) Secretary of the State D) Vice Pesident
 
Answer & Explanation Answer: A) Chief Executive

Explanation:

Another name for the governor of the state is Chief Executive of the state.

And we also know that, The attorney general is the head of the US Department of Justice, The vice president is just under the president of the US and The secretary of state is the head of the US Department of State.

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5 6493
Q:

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

A) 142 B) 175
C) 212 D) 253
 
Answer & Explanation Answer: D) 253

Explanation:

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

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Filed Under: Permutations and Combinations
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4 6491
Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs B) 47 yrs
C) 45 yrs D) 42 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

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Filed Under: Problems on Ages
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4 6491