33
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:

3 divided by 1/3?

A) 1 B) 0
C) 9 D) None
 
Answer & Explanation Answer: C) 9

Explanation:

3 divided by 1/3

=> 313

= 3 x 3/1 

= 9

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2 28
Q:

How much does a gallon of water weigh?

A) 2.741 kgs B) 2.956 kgs
C) 3.418 kgs D) 3.785 kgs
 
Answer & Explanation Answer: D) 3.785 kgs

Explanation:

1 Gallon = 3.785 kgs

Gallon is a unit of measurement of liquid.

We know that 1 gallon = 3.785 liters

But we know that,

1 cubic meter = 1000 lit or 1000 kgs

=> 1 lit = 1 kg

Hence,  1 gallon = 3.785 lit = 3.785 kgs.

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3 25
Q:

0 divided by 0

A) 0 B) 1
C) Undefined D) Indeterminate
 
Answer & Explanation Answer: D) Indeterminate

Explanation:

Indeterminate are those,which mathematics can’t determine.

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.

Explanation::

      • Let us think by this analogy that,

0 / 1 = 0

0 / 2 = 0

…………

………..

we can say 0 / n = 0 from this we can write, 0/0 = 0

      • Again, another analogy,(from limiting concept of 1/0 = infinity)

1 / 0 = + or -

2 /0 = + or -

………

.…….

we can say 0 / 0 = 

      • Again, another analogy,

1 / 1 = 1

2/2 = 1

.……..

………..

we can say, 0/0 = 1

Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact.

So, 0/0 is indeterminate.

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6 54
Q:

How Many Hours Is 100 Miles?

Answer

It depends on the speed with what you are travelling.


 



  • For example, if you have travelled 100 miles and it took 2.5 hours to do it, then that is 100 miles = 2.5 hrs for you.


And the Average Speed is given by 100/2.5 = 40 miles per 1hour.

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6 83
Q:

What are the Multiples of 18?

A) 144 B) 72
C) 306 D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....

 

  • Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.

 

  • An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.
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4 95
Q:

7 is to 34 as 5 is to

A) 33 B) 24
C) 54 D) 41
 
Answer & Explanation Answer: D) 41

Explanation:

We can get this by any of two explanations.

 

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

 

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

 

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6 79
Q:

How many feet are in a meter?

A) 3.214 B) 3.28084
C) 3.2516 D) 3.21456
 
Answer & Explanation Answer: B) 3.28084

Explanation:

We know that, 

1 meter = 100 cms. 

=> 1 meter = 3.28084 feet.

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13 325
Q:

If the LCM and HCF of two numbers are equal, then the numbers must be 

A) Prime Numbers B) Composite Numbers
C) Equal D) Co- prime Numbers
 
Answer & Explanation Answer: C) Equal

Explanation:

If LCM = HCF then, the two numbers are equal.

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7 416