(3x + 2) (2x - 5) = ax² + kx + n . Wha | Problems on Numbers Questions & Answers

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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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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14 5758

Q:

40 % of 250 = 50% ?

A) 200	B) 100
C) 150	D) 400

Answer & Explanation Answer: A) 200

Explanation:

As per given

$\frac{40}{100} \times 250 = \frac{50}{100} \times x$

$\Rightarrow x = 200$

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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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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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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 $\frac{x}{y}$ then

$\frac{x+1}{y+1}=\frac{2}{3}\Rightarrow 3x-2y=-1$ ............. (i)

and $\frac{x-1}{y-1}=\frac{1}{2}\Rightarrow 2x-y=1$ ............ (ii)

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

$\inline \therefore$ Required fraction = $\frac{3}{5}$

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Subject: Problems on Numbers

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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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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.

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

(3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?

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(3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ?

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(3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?