AIEEE Questions and Answers with Explanation

Q:

The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?

A) 2759 cub. cm	B) 2247 cub. cm
C) 2614 cub. cm	D) 2311 cub. cm

Answer & Explanation Answer: D) 2311 cub. cm

Explanation:

Given Circumference of a circular base of a cylinder = 44 cm

We know that Circumference of a circle = $2 πr = 44 \Rightarrow r = \frac{22}{π}$

Now given the height of a cylinder h = 15 cm

Volume of a cylinder $V = {πr}^{2} h = π {(\frac{22}{π})}^{2} 15 = \frac{22 x 22 x 15}{3.14} = 2311 {cm}^{3} .$

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Filed Under: Volume and Surface Area
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23 6026

Q:

If CGKQW is one sequence following a logic, and another five-letter sequence following similar type of logic is BFJPV, then one more variation of this type can be ?

A) VPCFT	B) DHLRX
C) CFKNT	D) None

Answer & Explanation Answer: B) DHLRX

Explanation:

The logic behind the sequence given in the question is +4, +4, +6, +6
Therefore, the sequence which follows the same logic in the given options is DHLRX.

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Filed Under: Alphabet Test
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5 6022

Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

1366338589-11484717605.jpg image

1366338589-121484717623.jpg image

(1) (2) (3) (4)

A) 1	B) 4
C) 3	D) 2

Answer & Explanation Answer: D) 2

Explanation:

One line is increasing in each subsequent figue.

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Filed Under: Figure Matrix
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14 6017

Q:

Dilatory : Expeditious :: Direct : ?

A) Straight	B) Curved
C) Circumlocutory	D) Tortuous

Answer & Explanation Answer: C) Circumlocutory

Explanation:

The words in each pair are opposites of each other.

Hence, Dilatory : Expeditious :: Direct : Circumlocutory.

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Filed Under: Analogy
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9 6015

Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422	B) Rs. 10,500
C) Rs. 12,800	D) Rs. 15,000

Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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Filed Under: Ratios and Proportions
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6 6013

Q:

A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A) 49 kmph	B) 50 kmph
C) 51 kmph	D) 52 kmph

Answer & Explanation Answer: A) 49 kmph

Explanation:

Speed of the train relative to man

= (125/10) m/sec = (25/2) m/sec.

[(25/2) x (18/5)] km/hr = 45 km/hr.

Let the speed of the train be 'x' km/hr.

Then, relative speed = (x - 4) km/hr.

x - 4 = 45 => x = 49 km/hr.

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Filed Under: Problems on Trains
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7 6010

Q:

There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?

A) 1112	B) 2304
C) 1224	D) 2426

Answer & Explanation Answer: B) 2304

Explanation:

Number of questions = 5
Possibilities of choices for each question 1 to 5 respectively = 4, 4, 4, 6, 6

Reuired total number of sequences

= 4 x 4 x 4 x 6 x 6

= 2304.

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Filed Under: Permutations and Combinations
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20 6006

Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A) Rs. 1100	B) Rs. 5500
C) Rs. 1400	D) Rs. 4120

Answer & Explanation Answer: A) Rs. 1100

Explanation:

Let the sum be Rs.x. Then,

$[x {(1 + \frac{10}{100})}^{2} - x] = 1155$

$\Rightarrow x [{(\frac{11}{10})}^{2} - 1] = 1155$

=> x =5500

sum = Rs. 5500.

So, S.I = Rs. $(\frac{5500 \times 5 \times 4}{100})$ = 1100

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Filed Under: Compound Interest
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2 6005

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