AIEEE Questions

Q:

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ?

A) 36 yrs B) 38 yrs
C) 40 yrs D) 42 yrs
 
Answer & Explanation Answer: C) 40 yrs

Explanation:

Let the mother's present age be x years.

Then, the person's present age = 2/5 x years.

(2x/5 + 8) = 1/2 (x + 8)

2(2x + 40) = 5(x + 8) => x = 40.

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Filed Under: Problems on Ages
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26 19962
Q:

A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?

A) He Gained Rs. 200 B) He lost Rs. 200
C) He neither gained nor lost D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

The CP of profitable cow  = 9900/1.1 = 9000

 

and profit = Rs. 900

 

The  CP of loss yielding cow = 9900/0.8 = 12375

 

and loss = Rs. 2475

 

so, the net loss = 2475 - 900 = 1575

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Filed Under: Profit and Loss
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26 19961
Q:

The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)

A) 19 years B) 16 years
C) 18 years D) 20 years
 
Answer & Explanation Answer: D) 20 years

Explanation:

Present total age of the members = 26(5) = 130 years.

 

Present age of the youngest member = 10 years

 

Present total age of the remaining four members = 130 -10 = 120 years

 

Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.

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Filed Under: Problems on Ages
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19 19921
Q:

A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?

A) 1/3 kmph B) 2/3 kmph
C) 1/4 kmph D) 1/2 kmph
 
Answer & Explanation Answer: D) 1/2 kmph

Explanation:

Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr.

Speed in downstream = 3 x 60/18 = 10 km/hr

Rate of current = (10-9)/2 = 1/2 km/hr.

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Filed Under: Boats and Streams
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32 19902
Q:

A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?

A) 80 kms B) 60 kms
C) 45 kms D) 32 kms
 
Answer & Explanation Answer: B) 60 kms

Explanation:

Let 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms.

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Filed Under: Problems on Trains
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19 19876
Q:

Which motherboard form factor uses one 20 pin connector?

A) Baby AT B) AT
C) ATX D) All the above
 
Answer & Explanation Answer: C) ATX

Explanation:

ATX (Advanced Technology extended) is a motherboard form factor uses one 20 pin connector.

 

ATX is developed by Intel in 1995 to improve on previous de facto standards like the AT form factor. It was the first major change in desktop computer enclosure, motherboard, and power supply design in many years, improving standardization and interchangeability of parts.

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40 19826
Q:

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?

a. Total amount invested in the business in Rs. 22,000.

b. Profit earned at the end of 3 years is 3/8 of the total investment.

c. The average amount of profit earned per year is Rs. 2750.

A) Only c is sufficient B) Both a & b are sufficient
C) Both A & B gives result D) None
 
Answer & Explanation Answer: C) Both A & B gives result

Explanation:

a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250.

From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

∴ P's share = Rs.(8250 x 5/11) = Rs. 3750.

Thus, (either C is redundant) or (a and b are redundant).

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Filed Under: Partnership
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5 19790
Q:

What is the IUPAC name of [Co(NH3)4Cl2]?

A) Tetra-ammine dichloro cobalt (III) chloride B) Tetra-ammine trichloro cobalt (III)
C) Tri-ammine dichloro cobalt (III) chloride D) Tetra-ammine dichloro cobalt
 
Answer & Explanation Answer: A) Tetra-ammine dichloro cobalt (III) chloride

Explanation:

The IUPAC nomenclature in organic chemistry is a systematic method that is used to name organic chemical compounds as recommended by the International Union of Pure and Applied Chemistry (IUPAC).

 

The IUPAC name of the given complex [Co (NH₃)₄Cl₂ ]Cl is - Tetra-ammine dichloro cobalt (III) chloride.

 

The complex [Co (NH₃)₄ Cl₂ ] Cl ionizes an aqueous solution to furnish the chloride ion Cl⁻ and [Co (NH₃)₄ Cl₂ ] ⁺.

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Filed Under: Chemistry
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18 19714