AIEEE Questions

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500 B) Rs.36,400
C) Rs.37,415 D) Rs.36,500
 
Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

 

Therefore,
35×A×10100 - 25×A×5100 = 1500

 

=>  A = Rs 37,500.

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Filed Under: Profit and Loss
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30 20662
Q:

If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?

A) 72 years B) 54 years
C) 60 years D) 47 years
 
Answer & Explanation Answer: C) 60 years

Explanation:

Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years

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Filed Under: Problems on Ages
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22 20636
Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg B) 160 deg
C) 140 deg D) 135 deg
 
Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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Filed Under: Clocks
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34 20542
Q:

A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?

A) Rs. 6000 B) Rs. 4500
C) Rs. 5000 D) Rs. 6500
 
Answer & Explanation Answer: C) Rs. 5000

Explanation:

Income = Rs. 100

Expenditure = Rs. 80

Savings = Rs. 20

Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92

Present Savings = 100 – 92 = Rs. 8

100 ------ 8
? --------- 400 => 5000

His salary = Rs. 5000

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24 20516
Q:

What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?

A) 165 degrees B) 172.5 degrees
C) 112.5 degrees D) 125.5 degrees
 
Answer & Explanation Answer: B) 172.5 degrees

Explanation:

The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand.
Here 15 minutes corresponds to 15 x 6 = 90 degrees

Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.
Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.

Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

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Filed Under: Clocks
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38 20503
Q:

Pulitzer prize is awarded for outstanding work in the field of 

A) Science and Technology B) Literature and Journalism
C) International Understanding D) Environmental Studies
 
Answer & Explanation Answer: B) Literature and Journalism

Explanation:

The Pulitzer Prize is an award for achievements in newspaper, magazine and online journalism, literature, and musical composition in the United States.

Pulitzer Prize Winners List Year By Year 

Pulitzer_prize_is_awarded_for_outstanding_work_in_the_field_of1534229932.jpg image

 

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136 20418
Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52% B) 64%
C) 84% D) 77%
 
Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

 

Then, according to the given data,

 52x-25x52xx100

 

2125x100

 

= 84%

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Filed Under: Percentage
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14 20379
Q:

Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840 D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
 
Answer & Explanation Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840

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Filed Under: Partnership
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