3
Q:

# Two old friends, Jack and Bill, meet after a long time.Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids nowJack: That’s awesome. How old are they?Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.Jack: Cool … But I still don’t know.Bill : My eldest kid just started taking piano lessons.Jack: Oh now I get it.How old are Bill’s kids ?

 A) 3, 3, 8 B) 2, 6, 6 C) 1, 6, 12 D) 1, 8, 9

Explanation:

Let’s break it down. The product of their ages is 72. So what are the possible choices?

2, 2, 18 – sum(2, 2, 18) = 22
2, 4, 9 – sum(2, 4, 9) = 15
2, 6, 6 – sum(2, 6, 6) = 14
2, 3, 12 – sum(2, 3, 12) = 17
3, 4, 6 – sum(3, 4, 6) = 13
3, 3, 8 – sum(3, 3, 8 ) = 14
1, 8, 9 – sum(1,8,9) = 18
1, 3, 24 – sum(1, 3, 24) = 28
1, 4, 18 – sum(1, 4, 18) = 23
1, 2, 36 – sum(1, 2, 36) = 39
1, 6, 12 – sum(1, 6, 12) = 19

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

2, 6, 6 – sum(2, 6, 6) = 14
3, 3, 8 – sum(3, 3, 8 ) = 14

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Q:

"Compounding frequency" refers to

 A) What type of interest your account earns B) How often your interest is calculated and added back into your account C) What interest rate you can expect from your account D) How easily you can add money into your account

Explanation:

Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

0 34
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 68
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.

0 105
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.

0 122
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 99
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.

0 135
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.

0 178
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.