series

Fill in the missing numbers:           

2, 2, 4, 12, ......, 240 

Answer:              

                2                  2                4                 12               ....                    240        

                2               2 x 1          2 x 2              4 x3          12x 4                  48x5

                Answer:  12 x 4 = 48

series

Fill in the missing numbers:

    15, 16, 19,28,55, .......

Answer:

15                           16                           19                           28                           55

                                15+1                      16+3                      19+ 9                     28+27

                                15 + 3⁰                   16 + 3¹                   19 +3²                    28 + 3³

Therefore, answer is 55 + 3⁴  = 55 + 91 =151.                       

series

Fill in the missing numbers:

    2,3, 5, 7,11, .....

Answer:

                2              3              5              7              11

                All the numbers are prime.

                So, the next prime number is 13.

framing of equation

Rishu is as much younger to Nanu as he is older to Bhanu. The sum of ages of Nanu and Bhanu is 8.
How old is Rishu now?

Answer:
N- R = R - B 
where, N = nanu's age
R = rishu's age
B = Bhanu's age

Therefore, 2R = N + B 
or, 2R = 8, given N + B = 8
or, R = 4 years.

So, Rishu's age is 4 years.

framing of equation

Nanu was A years old P years ago.How old was she T years ago?

Answer:

Nanu's present age = A + P
Nanu's age T years ago = A + P - T

mean

The average age of 17 players is 14 years. If the age of the coach is included, the average of the group becomes 15 years. What is the age of the coach?

mean

The average of three numbers is 135. The largest number is 180 and the difference between the other two numbers is 45. What is the smallest number?

Mean

5 years ago the average age of a family of 3 members was 17 years. A baby girl was born during the same period such that the average age of the family remains unchanged? What is the age of the baby now?

mean

The average marks of 30 students in the class are increased by 1.2 when a student of mark 42 is replaced by another student. What was the mark obtained by this new student?

mean

The average marks obtained by 30 girls are 55 and the average marks obtained by 20 boys are 40. What is the average marks obtained by  the students in the class?

algebra -- IPM STD VI

The difference of two numbers is 9 and the sum of 2 numbers is 25. What is the product of the two numbers?

solution question paper 1 -- IPM STD V

solution to question paper 1 --- IPM STD V

The sum of 3 consecutive even number is 78. What is the middle number?

Answer:

In this type of questions, where they say of consecutive even numbers or odd numbers, please the following step:

First number:  a – 2

Second number: a

Third number: a + 2

So, sum of the numbers = a-2 + a + a + 2 = 3a

Now given 3a = 78

So, a = 26.

So, the middle number is 26.

solution to question paper 1 -- IPM STD V

If two fifth of one fourth of a number is 4, what is the sum of the digits of the number?

solution to question paper 1 -- IPM STD V

A number when divided by 5 diminishes by 40. What is  the number?

solution to question paper 1 -- IPM STD V

How many numbers between 281 and 651 are divisible by 2,3,4, and 5?

Answer:

The LCM of 2,3,4, and 5 is 60.

We will find the total number of integers that are completely divisible by 60, upto 281.

i.e. 281 / 60 = 4 ⁴¹/₆₀. So, only 4 integers.

We will find the total number of integers that are completely divisible by 60, upto 651.

i.e. 651 / 60 = 10 ⁵¹/₆₀. So, only 10 integers.

Therefore, between 651 and 281, we have 10 – 4 = 6 integers.