AIEEE Questions

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856 B) 3969
C) 480 D) None of these
 
Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = 26-1  

 

Similarly we can select atleast one item from other set of 6 different items in 26-1 ways. 

 

Required number of ways = (26-1)26-1 = 26-12 = 3969

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Filed Under: Permutations and Combinations
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1 7642
Q:

Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ?

A) 9850 B) 9500
C) 9620 D) 9760
 
Answer & Explanation Answer: C) 9620

Explanation:

As the interest rate increases by 2%
=> (7000x3x2)/100 = 420
                                   9200
                                  --------
                                   9620

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Filed Under: Simple Interest
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13 7640
Q:

Assertion(A) : The steam engine was invented by James Watt.
Reason(R) : There was a problem of taking out water from flooded mines.

A) R correctly explains A B) R is true but A is fale
C) A is true but R is false D) Both A and R are false
 
Answer & Explanation Answer: A) R correctly explains A

Explanation:

The problem of pumping out water from the flooded mines provided the need of self-working engine, which led James Watt to invent the same.
Thus, both A and R are true & R correctly explains A.

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Filed Under: Assertion and Reason
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8 7636
Q:

Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?

A) A is eldest & C is youngest B) D is eldest & C is youngest
C) C is eldest & A is youngest D) A is eldest & B is youngest
 
Answer & Explanation Answer: B) D is eldest & C is youngest

Explanation:

Given sum of present ages of A, B, C & D

A + B + C + D = 176

and also given that,

(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14

Let the ratio = x

=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x

=> (A + B + C + D ) - 16 = 40x

=> 176 - 16 = 40x

=> x = 4

=> A = 44 + 4 = 48

=> B = 40

=> C = 28

=> D = 60

Therefore, from the above conclusions

D is eldest with 60 years and C is youngest with 28 years of ages.

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Filed Under: Problems on Ages
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16 7633
Q:

Wood : Ghacoad :: Coal : ?

A) Fire B) Smoke
C) Coke D) Ash
 
Answer & Explanation Answer: C) Coke

Explanation:

Second is obtained from the first.

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Filed Under: Analogy
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17 7629
Q:

Lightning heats the surrounding air to

A) 300 deg Cent B) 3000 deg Cent
C) 30000 deg Cent D) 300000 deg Cent
 
Answer & Explanation Answer: C) 30000 deg Cent

Explanation:

Lightning is extremely hot — a flash can heat the air around it to temperatures five times hotter than the sun’s surface. This heat causes surrounding air to rapidly expand and vibrate, which creates the pealing thunder we hear a short time after seeing a lightning flash.

Lightning heats the surrounding air to about 30,000 degrees Centigrades.

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Filed Under: Physics
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5 7626
Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123 B) 253
C) 321 D) 231
 
Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions =n+r-1 Cr-1 = C223 = 253 

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Filed Under: Permutations and Combinations
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4 7623
Q:

Which of the following is an abnormal constituent of urine?

A) Creatinine B) Uric acid
C) Glucose D) Urea
 
Answer & Explanation Answer: C) Glucose

Explanation:

Normally, urine contains water and wastes, such as urea, uric acid, creatinine, and some ions. However, some of these substances may be abnormally elevated, which usually indicates that something is wrong with the body.

 

The following are some of the abnormal constituents of urine::

Albumin

Bilirubin

Glucose

Ketone bodies

Blood

Microbes

White blood cells

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Filed Under: Biology
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15 7621