AIEEE Questions

Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Filed Under: Arithmetical Reasoning
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Q:

The total number of prime factors in the expansion

Answer

 


2211 x 75 x 112=> 222 x 75 x 112


 Total number of prime factors is (22+5+2) = 29

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
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4 5389
Q:

Who has become First Hindu to be a Pakistan Cabinet Minister in 20 years ?

A) Parash Kumar B) Raghav Verma
C) Darshan Lal D) Manik Patel
 
Answer & Explanation Answer: C) Darshan Lal

Explanation:

After a span of 20 years, a Hindu politician, Darshan Lal, is set to take the role of a cabinet minister in Pakistan.  The new Prime Minister Shahaid Khaqan Abbasi formulated his cabinet and has appointed 65-year old Lal to lead coordination between four Pakistan provinces.

Lal reportedly used to practice as a doctor in Mirpur Mathelo town in Ghotki district of Sindh province.

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Filed Under: General Awareness
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Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100 B) 70
C) 120 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Q:

Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?

A) 76.8 B) 86.8
C) 78.8 D) 84.8
 
Answer & Explanation Answer: D) 84.8

Explanation:

Let 'M' be the maximum marks in the examination.

Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.

Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.

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Filed Under: Percentage
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Q:

Directions:

A string of words is fed into a computing machine. It processes the input and gives an output in the following manner:

Input: Honesty is the best policy.

Step 1: is Honesty the best policy

Step 2: is the Honesty best policy

Step 3: is the best Honesty policy

Step 4: is the best policy Honesty

Output: is the best policy Honesty

Now,

If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps?

A) Moss B) No
C) Stone D) A
 
Answer & Explanation Answer: D) A

Explanation:

For the input "A rolling stone gathers no moss", the steps followed are:

Step 1: rolling A stone gathers no moss

Step 2: rolling stone A gathers no moss

Step 3: rolling stone gathers A no moss

Step 4: rolling stone gathers no A moss

 

After 4 steps the fifth word is "A".

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Filed Under: Logic
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Q:

Which city is located on the banks of the river Mula-Mutha?

A) Pune B) Nagpur
C) Ahmedabad D) Surat
 
Answer & Explanation Answer: A) Pune

Explanation:

The Mula-Mutha is a river in India, formed by the confluence of the Mula and Mutha rivers in the city of Pune, which later meets the Bhima River, which itself later meets the Krishna River and finally emptying to the Bay of Bengal.

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Filed Under: Indian Geography
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Q:

World Suicide Prevention Day (WSPD) is observed every year on _______ 

A) 1 September B) 7 September
C) 9 September D) 10 September
 
Answer & Explanation Answer: D) 10 September

Explanation:

World Suicide Prevention Day (WSPD) is an awareness day celebrated on 10 September every year, keeping in mind the end goal to give overall commitment and action to anticipate suicides, with various activities around the world since 2003.

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Filed Under: Important Days and Years
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