3
Q:

 (3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?

A) 5 B) 8
C) 9 D) 10

Answer:   A) 5



Explanation:

This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10

To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.

Thus a - n = 16

To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11

16 - 11 = 5

Subject: Problems on Numbers
Exam Prep: GRE
Q:

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.

A) 262 B) 131
C) 65.5 D) 393
 
Answer & Explanation Answer: B) 131

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0 543
Q:

Mohan starts to calculate sum of all odd natural number less than 83. What result does he get?

A) 1456 B) 1681
C) 1437 D) 1671
 
Answer & Explanation Answer: B) 1681

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1 526
Q:

Find the sum of first 8 odd prime numbers.

A) 77 B) 98
C) 75 D) 100
 
Answer & Explanation Answer: B) 98

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0 427
Q:

Find the number which is a prime number.

 

A) 39   B) 87  
C) 79   D) 93
 
Answer & Explanation Answer: C) 79  

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0 2402
Q:

Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their descending order of magnitude.

 

A) 3/4 > 3/8 > 13/16 > 16/29 > 5/12 B) 3/8 > 5/12 > 16/29 > 3/4 > 13/16
C) 13/16> 3/4 >16/29 > 5/12 > 3/8 D) 13/16 > 16/29 > 3/4 > 5/12 > 3/8
 
Answer & Explanation Answer: C) 13/16> 3/4 >16/29 > 5/12 > 3/8

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0 2254
Q:

Which of the following numbers is irrational?

 

A) 643 B) √64
C) 646 D) 644
 
Answer & Explanation Answer: D) 644

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3 1788
Q:

Slit 69 into three parts such that they are in A.P. and the product of their smaller parts is 483.

A) 19,23,27 B) 17,23,29
C) 15,23,31 D) 21,23,25
 
Answer & Explanation Answer: D) 21,23,25

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0 597
Q:

Which is the correct ascending order of the given numbers?

A) 1/3,1/5,2/5 B) 1/3,2/5,1/5
C) 1/5,1/3,2/5 D) 1/5,2/5,1/3
 
Answer & Explanation Answer: C) 1/5,1/3,2/5

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