AIEEE Questions and Answers with Explanation

Q:

Meghana alone would take 32 hours more to complete a job than both Meghana and Ganesh together. If Ganesh worked alone, he took 12 1/2 hours more to complete it than both Meghana and Ganesh worked together. What time would they take if both Meghana and Ganesh worked together?

A) 20 hrs	B) 18 hrs
C) 22 hrs	D) 20.5 hrs

Answer & Explanation Answer: A) 20 hrs

Explanation:

Time taken by both Meghana and Ganesh to work together is given by =

$\sqrt{t_{1} x t_{2}}$

Where

$t_{1} = 32 h r s t_{2} = 12 \frac{1}{2} h r s = \frac{25}{2} h r s$

Therefore, time took by both to work together =

$\sqrt{32 x \frac{25}{2}} = \sqrt{16 x 25} = 4 x 5 = 20 h r s$

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Filed Under: Time and Work
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Q:

Karthik walks at 5 km/hr and reaches his destination 8 min late. If he walks at 6 km/hr, he reaches his destination on time. What distance he will cover in given time ?

A) 10 kms	B) 8 kms
C) 6 kms	D) 4 kms

Answer & Explanation Answer: D) 4 kms

Explanation:

Let the actual distance be t kms

Now, According to the data,

$5 (t + \frac{8}{60}) = 6 t = > 5 (\frac{60 t + 8}{60}) = 6 t = > 60 t + 8 = 72 t = > 8 = 12 t = > t = 8 / 12 = 2 / 3 hrs$

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.

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Filed Under: Time and Distance
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Q:

A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C?

A) Rs. 3600	B) Rs. 3200
C) Rs. 4400	D) Rs. 3000

Answer & Explanation Answer: D) Rs. 3000

Explanation:

Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
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Q:

How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

A) 29 sec	B) 58 sec
C) 36 sec	D) 44 sec

Answer & Explanation Answer: C) 36 sec

Explanation:

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Filed Under: Problems on Trains
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Q:

_______has conferred the 'Best Performance Award' for 2015-16 and 2016-17 to Karnataka VIKAS GRAMEEN Bank (KVGB) for its work in the field of credit-linking joint liability groups (JLGs).

A) RBI	B) RRB
C) NABARD	D) SBI

Answer & Explanation Answer: C) NABARD

Explanation:

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Filed Under: General Awareness
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Q:

Find the area of the square whose side is equal to the diagonal of a rectangle of length 3 cm and breadth 4 cm.

A) 25 sq.cm	B) 16 sq.cm
C) 9 sq.cm	D) 4 sq.cm

Answer & Explanation Answer: A) 25 sq.cm

Explanation:

Given length of the rectangle = 3 cm

Breadth of the rectangle = 4 cm

Then, the diagonal of the rectangle $D = \sqrt{3^{2} + 4^{2}} = \sqrt{25} = 5$

Then, it implies side of square = 5 cm

We know that Area of square = S x S = 5 x 5 = 25 sq.cm.

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Filed Under: Area
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Q:

Who was the Indian politician five times chief minister of Tamilnadu recently passed away?

A) Annadhurai	B) M. Karunanidhi
C) Stalin	D) Kanimozhi

Answer & Explanation Answer: B) M. Karunanidhi

Explanation:

Muthuvel Karunanidhi was an Indian writer and politician who served as Chief Minister of Tamil Nadu for five terms and twenty years between 1969 and 2011. He passed away on 7th August in Kauvery Hospital due to prolonged illness.

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Filed Under: Indian Politics
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3 6166

Q:

There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?

A) 29	B) 27
C) 31	D) 33

Answer & Explanation Answer: A) 29

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$\Rightarrow {(x + 3)}^{2} - {(x - 3)}^{2} = 396 \Rightarrow x^{2} + 9 + 6 x - x^{2} + 6 x - 9 = 396 \Rightarrow 12 x = 396 \Rightarrow x = 33$

Hence, the smallest odd number is 33 - 4 = 29.

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Filed Under: Problems on Numbers
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