19
Q:

# In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children?

 A) 5/18 B) 4/9 C) 11/18 D) 17/36

Explanation:

Let the total number of workers be x. Then,

Number of women = x/3 and number of men = x - x/3  = 2x/3

Number of women having children = x/18

Number of men having children = x/3

Number of workers having children = (x/18) + (x/3) = 7x/18

Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

Q:

How many inches is 5' 4"?

 A) 66 B) 64 C) 62 D) 60

Explanation:

We know 1 feet = 12 inches.

According to the question,

5' 4''  =  5 feet 4 inches = 12 x 5 + 4 = 64 inches.

Hence,  5' 4''  =  5 feet 4 inches = 64 inches.

0 51
Q:

Multiplicative inverse of 0

 A) 0 B) 1 C) infinity D) None of the above

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

Hence, 0 doesn't have any multiplicative inverse.

0 96
Q:

6 divided by 2(1 + 2) =

 A) 1 B) 0 C) 9 D) Can't be determined

Explanation:

The given expression can be simplified as

$÷$ 2 (1 + 2)

The expression can be simplified further by the order of operations, using BODMAS rule.

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

Now, the expression becomes $÷$ 2 (3)

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

6 ÷ 2 × 3

= 3 × 3

= 9

But not  6÷2×3 = 6 ÷ 6 = 1

Hence, 6 ÷ 2 (1 + 2) = 9.

0 117
Q:

Multiplicative inverse of 7?

 A) 1 B) -1/7 C) 0 D) 1/7

Explanation:

Multiplicative inverse is nothing but a reciprocal of a number.

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is

7 x n = 1

=> n = 1/7.

Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

2 98
Q:

What is the product of a number and its reciprocal?

 A) 0 B) 1 C) -ve of the number D) the number itself

Explanation:

The product of a number and its reciprocal is always equals to 1.

For Example : Let the number be 4.

Now, its reciprocal is 1/4

Hence, required product = 4 x 1/4 = 1.

Now, take the number as -15.

Then its reciprocal is -1/15

Required product = -15 x -1/15 = 1.

Hence, the product of a number and its reciprocal is 1.

0 131
Q:

A plane is an undefined term because it

 A) is a flat surface that extends indefinitely in all directions B) is where other geometric shapes can be constructed C) is described generally, not using a formal definition D) can be named using three noncollinear points

Answer & Explanation Answer: C) is described generally, not using a formal definition

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

0 176
Q:

Absolute value of 9?

 A) 0 B) 9 C) 8 D) -9

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line.

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

Hence, the absolute value of 9 is 9.

1 225
Q:

What is the value of 62 tens?

 A) 6 B) 620 C) 62 D) 2

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

Hence, the value of 62 tens = 620.