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Q:

Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

A) 11/3	B) 2/13
C) 3/11	D) 13/4

Answer & Explanation Answer: C) 3/11

Explanation:

Let Veena paid x,
so Akshitha paid 2x/3 , and Lasya paid 2x,
So total bill paid is given by
x+(2x/3) +2x = 1, we get
i.e. x = 3/11

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Filed Under: Partnership
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Q:

One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today.

This paragraph best supports the statement that
A. Shakespeare's characters are more interesting than fictional characters today.
B. people even today are interested in Shakespeare's work because of the characters.
C. academic scholars are putting together an anthology of Shakespeare's work.
D. New Yorkers have a renewed interested in the work of Shakespeare.
E. Shakespeare was a psychiatrist as well as a playwright.

A) A	B) B
C) C	D) D

Answer & Explanation Answer: B) B

Explanation:

The last sentence in the paragraph clearly gives support for the idea that the interest in Shakespeare is due to the development of his characters. Choice a is incorrect because the writer never makes this type of comparison. Choice c is wrong because even though scholars are mentioned in the paragraph, there is no indication that the scholars are compiling the anthology. Choice d is wrong because there is no support to show that most New Yorkers are interested in this work. There is no support for choice e either.

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Filed Under: Statement and Arguments
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Q:

Evaluate : $\frac{3 . 39^{2} - 2 . 61^{2}}{3.39 - 2.69}$ ?

A) 3	B) 4
C) 6	D) 1

Answer & Explanation Answer: C) 6

Explanation:

It is in the form of $\frac{a^{2} - b^{2}}{a - b} = \frac{(a + b) (a - b)}{a - b} = a + b$

Here a = 3.39 b = 2.61

= 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
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Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25	B) 15/17
C) 14/25	D) 11/16

Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is $\frac{25}{51} \times (\frac{350 + 100}{150 + 100})$ = 15/17.

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Filed Under: Percentage
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Q:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

519 328 746 495 837

A) 146	B) 203
C) 345	D) 96

Answer & Explanation Answer: A) 146

Explanation:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

Now arranging the given numbers in descending order.
837 746 519 495 328

519 - 746/2 = 519 - 373 = 146.

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Filed Under: Numbers
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Q:

The market was full of people ……….. attractive clothes of different styles.

A) showing	B) watching
C) Having	D) wearing

Answer & Explanation Answer: D) wearing

Explanation:

The market was full of people wearing attractive clothes of different styles.

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Filed Under: Analogy
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Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Filed Under: Square Roots and Cube Roots
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Q:

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ?

A) 39 days	B) 37 days
C) 35 days	D) 33 days

Answer & Explanation Answer: C) 35 days

Explanation:

Distance d = 1200km
let S be the speed

he walks 15 hours a day(i.e 24 - 9)
so totally he walks for 70 x 15 = 1050hrs.

S = 1200/1050 => 120/105 = 24/21 => 8/7kmph

given 1 1/2 of previous speed
so 3/2 * 8/7= 24/14 = 12/7

New speed = 12/7kmph

Now he rests 10 hrs a day that means he walks 14 hrs a day.

time = 840 x 7 /12 => 490 hrs
=> 490/14 = 35 days

So he will take 35 days to cover 840 km.

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Filed Under: Time and Distance
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