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QUESTION: 1

How many two-digit numbers satisfy this property : The last digit (units digit) of the square of the two-digit number is 8 ?

Solution:

A number ending in 8 can never be a perfect square.

1^{2} = 1

2^{2} = 4

3^{2} = 9

4^{2} = 16

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

9^{2} = 81

QUESTION: 2

if a = 0.2917, then the value of is :

Solution:

QUESTION: 3

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

Solution:

Money collected = (59.29 x 100) paise = 5929 paise.

∴ Number of members = √5929 = 77.

QUESTION: 4

if √7 = 2.645, then find the value of

Solution:

=

= 1.3225 - 3.78071 + 13.225

= 10.76679 ≈ 10.77

QUESTION: 5

What is smallest number with which 5400 may be multiplied so that the product is perfect cube?

Solution:

Find prime factors of 5400

5400=2×3×3×3×2×2×5×5

If we group them in the group of 3

5400=(2×2×2)×(3×3×3)×5×5

Here to make group of 3 for 5

We have to multiply 5400 by 5.

QUESTION: 6

The square root of (14 + 2√13)(14 - 2√13) is

Solution:

As we know that (a²-b²) = (a+b) (a-b)

Therefore 14² - 2²x13 = 144.

So √144 = 12.

QUESTION: 7

Solution:

= [√248+√64]

= √248+8

= √256

= 16

QUESTION: 8

Solution:

√1 9/16

= √25/16

= 5/4

= 1 1/4.

QUESTION: 9

Solution:

√41-√21+√19-√9

= √41-√21+√19-3

=√41-√21+√16

=√41-√21+4

=√41-√25

=√41-5

=√36

=6

QUESTION: 10

Solution:

Cube root of (512)/125

= 8/5

Convert it into mixed fraction, we get

= 1 3/5

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