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Q:

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

A) 625 B) 525
C) 425 D) 325
 
Answer & Explanation Answer: B) 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

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Filed Under: Percentage
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Q:

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A) 60 mts B) 120 mts
C) 240 mts D) 360 mts
 
Answer & Explanation Answer: D) 360 mts

Explanation:

Speed of the Train K is given by s = d/t = 240/20 = 12 m/s
Distance covered by Train K in 50 seconds = 12 x 50 = 600 mts.
But it crosses Train L in 50 seconds
Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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Filed Under: Problems on Trains
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Q:

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

A) 80 degrees B) 60 degrees
C) 120 degrees D) 40 degrees
 
Answer & Explanation Answer: B) 60 degrees

Explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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Filed Under: Numbers
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Q:

Statement : Let there be a signboard also indicating the directions and instructions.

Assumptions :
a) Signboard can be prepared without using any language.
b) Signboard is the only effective tool to indicate directions.

A) Both a and b are not sufficient B) Only a is sufficient
C) Only b is sufficient D) Both a and b are sufficient
 
Answer & Explanation Answer: A) Both a and b are not sufficient

Explanation:

The statement doesn't give any clue to the use of language. Hence a is not implicit.
b is also not implicit because in the sentence 'only' indicates false meaning.

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Filed Under: Statement and Assumptions
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Q:

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A) 14:9 B) 13:12
C) 16:5 D) 17:13
 
Answer & Explanation Answer: C) 16:5

Explanation:

Area of a square SxS = 1024 => S = 32 cm
Length of the rectangle = 32x2 cm = 64 cm
Breadth of the rectangle = 32 - 12 = 20 cm
Required ratio = 64 : 20 = 16 : 5

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Filed Under: Area
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Q:

Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ?

A) 32 years B) 48 years
C) 62 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:

Let Rajan's present age be 'x' years.
=> Then his daughter's present age is = x/3 years.
His mother's present age = 13x/9 years
Now, according to the question,
x + x/3 + 13x/9 = 125
=> x = 125x9/25 = 45
Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9
=> 10 x 45/9 = 50 years.

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Filed Under: Problems on Ages
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Q:

a) In a family of 6 persons, there are two couples. b) The lawyer is the head of the family and has only two sons- Suresh and Rajesh- both teachers. c) Mrs. Veena and her mother-in-law both are lawyers. d) Suresh's wife is a Doctor and they have a son, Ankith.

1) What is the profession of Rajesh's wife ?


2) What is Ankith's grandfather's occupation ?

Answer

Answer: 1) Rajesh's wife is Mrs. Veena and she is a lawyer.


Answer: 2) The family doesn't have Ankith's grandfather.


So, we can't determine.

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Subject: Logic Exam Prep: GRE , TOEFL
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Q:

'Nail' is related to 'Nail-cutter' in the same way as 'Hair' is related to ?

A) Oil B) Haircut
C) Scissors D) Comb
 
Answer & Explanation Answer: C) Scissors

Explanation:

The first is cut by the second.

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Filed Under: Analogy
Exam Prep: TOEFL
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