40
Q:

In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?

A) 20 B) 25
C) 30 D) Data inadequate

Answer:   C) 30



Explanation:

Let the number of boys and girls participating in sports be 3x and 2x respectively.

 

Then, 3x = 15 or x = 5.

 

So, number of girls participating in sports = 2x = 10.

 

Number of students not participating in sports = 60 - (15 + 10) = 35.

 

Let number of boys not participating in sports be y.

 

Then, number of girls not participating in sports = (35 -y).

 

Therefore (35 - y) = y + 5 <=> 2y<=>  30<=> y = 15.

 

So, number of girls not participating in sports = (35 - 15) = 20.

 

Hence, total number of girls in the class = (10 + 20) = 30.

Q:

How many inches is 5' 4"?

A) 66 B) 64
C) 62 D) 60
 
Answer & Explanation Answer: B) 64

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. 

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0 42
Q:

Multiplicative inverse of 0

A) 0 B) 1
C) infinity D) None of the above
 
Answer & Explanation Answer: 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.

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0 90
Q:

6 divided by 2(1 + 2) =

A) 1 B) 0
C) 9 D) Can't be determined
 
Answer & Explanation Answer: C) 9

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

Screenshot_(21)1528090844.jpg image 

 

Hence, 6 ÷ 2 (1 + 2) = 9.

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0 112
Q:

Multiplicative inverse of 7?

A) 1 B) -1/7
C) 0 D) 1/7
 
Answer & Explanation Answer: 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.

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2 90
Q:

What is the product of a number and its reciprocal?

A) 0 B) 1
C) -ve of the number D) the number itself
 
Answer & Explanation Answer: B) 1

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.

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0 127
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.

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0 165
Q:

Absolute value of 9?

A) 0 B) 9
C) 8 D) -9
 
Answer & Explanation Answer: B) 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.

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1 219
Q:

What is the value of 62 tens?

A) 6 B) 620
C) 62 D) 2
 
Answer & Explanation Answer: B) 620

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.

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3 220