4
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:

What approximate value will come in place of the question mark(?) in the below question?

(47% of 1442  - 36% of 1412) + 63 = ?

A) 4 B) 5
C) 3 D) 6
 
Answer & Explanation Answer: C) 3

Explanation:
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22 29329
Q:

In the following question a number series is given which has only one wrong number. You have to find out the wrong number?

7.5  47.5  87.5  157.5  247.5  357.5  487.5 

A) 47.5 B) 87.5
C) 247.5 D) 357.5
 
Answer & Explanation Answer: A) 47.5

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

14 5806
Q:

 40 % of 250 = 50% ?

A) 200 B) 100
C) 150 D) 400
 
Answer & Explanation Answer: A) 200

Explanation:

As per given 

 

 40100×250 =50100×x

 

x=200

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

6 6905
Q:

The difference between two numbers is 1365. When larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is ?

Answer

Let the numbers be x and 1365+x


Then 1365+x = 6x+15 


=> x = 270

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35 17506
Q:

If sum of three consecutive numbers is 42 . What will the sum of the digits of middle number .

Answer

Let the numbers be x, x+1, x+2 


Then x + x+1 + x+2 = 42


           =>  3x + 3 = 42


           => 3x = 39 


          =>  x = 13


 


The numbers would be 13, 14, 15 


Therefore, Sum of the digits of middle number = 1+4 = 5

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8 6124
Q:

A fraction becomes 2/3 when 1 is added to both, its numerator and denominator .And , it becomes 1/2 when 1 is subtracted from both the numerator and denominator. What is the fraction?

Answer

Let required fraction be  then 


           ............. (i)


and          ............ (ii)


Solving (i) and (ii) we get x=3, y=5


\inline \therefore Required fraction = 

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16 7785
Q:

The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A) 0.2 B) 0.3
C) 0.4 D) 0.5
 
Answer & Explanation Answer: C) 0.4

Explanation:

Let the weight of the empty tin = w

(2 - w) = weight of the cookies; and one quarter of the cookies weigh (2 - w)/4

One quarter of the cookies + tin = 0.8 = w + (2 - w)/4

Multiply through by 4; 3.2 = 4w + 2 - w

1.2 = 3w; w = 0.4

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Filed Under: Problems on Numbers
Exam Prep: GRE

1 8151
Q:

x and y are integers

x + y < 11 , and x > 6

What is the smallest possible value of x - y ?

A) 1 B) 24
C) 4 D) -2
 
Answer & Explanation Answer: C) 4

Explanation:

The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.

The difference, x - y will be 4.

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Exam Prep: GRE

4 29424