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Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ? 

A) Rs. 6000 B) Rs. 3600
C) Rs. 2160 D) Rs. 415
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm B) 115.395 sq cm
C) 104.214 sq cm D) 111.241 sq cm
 
Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Filed Under: Area
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Q:

Rajeev works in the security section of a bank. Everybody in the company is either an IT person or a finance person or both. The assignment that rambo is currently working on has five people from finance and three people from IT,including him. Of the 26 finance people in his department, a total of 16 are in his section. Of the 18 IT people in his department, 10 are not in Rajeev section. There is nobody in Rajeev section who is both a finance person and an IT person. Fifteen people in his department do not belong to his section.

Questions :

1)How many IT people are there in Rajeev's department who are not a finance person and are not in Rajeev's section ?

A)1      B)3      C)5     D)8

2)what number finance people in Rajeev's department are not in his section?

A)26    B)10    C)21   D)16

Answer

Finance person in his department = 26
IT persons in his department = 18
Finance person in his section = 16
IT persons in his section = 8
Total in his section = 16+8 = 24
Total people in his depatment = 26+18 = 44
only 15 people in his dept are not in his sec
and 44-24 = 20
so 20-15 = 5 people belong to both finance and IT


Answer 1)  is 'C'.  


IT persons in his department = 18(total IT) - 8(section) - 5(both) = 5


Answer 2) is 'B'  


Finance persons not in his section = 26 - 16 = 10

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Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19 B) 23
C) 17 D) 15
 
Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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Filed Under: Numbers
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Q:

In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

A) 25 B) 6
C) 32 D) 7
 
Answer & Explanation Answer: A) 25

Explanation:

Let x be number of houses and y be colors.

on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25

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Filed Under: Arithmetical Reasoning
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Q:

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ? 

A) 21 B) 22
C) 23 D) 24
 
Answer & Explanation Answer: C) 23

Explanation:

Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.

Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3

Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12

Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5

Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20

Number of persons who can speak two languages = 2

Number of person who an speak all the languages = 1

Total number of persons = 23.

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Filed Under: Logical Venn Diagram
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Q:

The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ? 

A) 48 yrs B) 42 yrs
C) 40 yrs D) 36 yrs
 
Answer & Explanation Answer: D) 36 yrs

Explanation:

Let present ages of Sumit=w, Krishna=x, Rishabh=y and Rohit=z , then
w+x+y = 43x3 = 129 ---(i) and
w+y+z = 49x3 = 147 ---(ii)
Subtracting (i) from (ii), (w+y+z) - (w+x+y)=147 -129 , z- x =18 ---(iii)
Given Rohit's age => z = 54, so from (iii), x = 54-18 = 36

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Filed Under: Problems on Ages
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Q:

If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ?

A) South-East B) North-West
C) East D) West
 
Answer & Explanation Answer: A) South-East

Explanation:

P % Q + R - S
=> P is to the East of Q, who is to the North of R, who is to the West of S.
=> Q.....P
      R.....S
=> With respect to Q, S is to the South-East of Q.

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Filed Under: Direction Sense Test
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