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21.
A school group charters three identical buses and occupies $4 over 5$ of the seats. After $1 fourth$ of the passengers leave, the remaining passengers use only two of the buses. The fraction of the seats on the two buses that are now occupied is

$8 over 9$
$7 over 10$
$7 over 9$
$7 over 9$

7 over 9

Let the number of seats in each bus be 10.
According to the question,
Total seats in three buses = 10 x 3 = 30
Total passengers $equals space fraction numerator 30 space cross times 4 over denominator 5 end fraction space equals space 24$
(1/4) of the passengers leave the bus.
Remaining passengers = $24 space cross times space 3 over 4 space equals space 18$
∴ Required solution $equals space 18 over 20 space equals space 9 over 10$

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22.

Find the value of:
$square root of 30 plus square root of 30 plus square root of 30 plus....... end root end root end root$

5
$3 square root of 10$
6
6

116 Views

23.

The value of $fraction numerator left parenthesis 8.3 right parenthesis to the power of 3.6 end exponent cross times space left parenthesis 9 right parenthesis to the power of 2.7 end exponent over denominator left parenthesis 81 right parenthesis to the power of 4.2 end exponent space cross times space left parenthesis 3 right parenthesis end fraction$ is

126 Views

24.

square root of 6 plus square root of 6 plus 6 plus.... end root end root

is equal to

116 Views

25.

open square brackets fraction numerator 1 over denominator 1 space cross times space 2 end fraction space plus space fraction numerator 1 over denominator 2 space cross times 3 end fraction space plus space fraction numerator 1 over denominator 3 space cross times space 4 end fraction space plus.... space plus space fraction numerator 1 over denominator 99 space cross times space 100 end fraction close square brackets

is equal to

$1 over 9900$
$99 over 100$
$100 over 99$
$100 over 99$

146 Views

26.

fraction numerator 0.1 space cross times space 0.1 space cross times space 0.1 space plus space 0.02 space cross times space 0.02 space cross times space 0.02 over denominator 0.2 space cross times space 0.2 space cross times space 0.2 space plus space 0.04 space cross times space 0.04 space cross times space 0.04 end fraction

is equal to

0.125
0.250
0.500
0.500

153 Views

27.

fraction numerator left parenthesis 0.87 right parenthesis cubed space plus space left parenthesis 0.13 right parenthesis cubed over denominator left parenthesis 0.87 right parenthesis squared space plus space left parenthesis 0.13 right parenthesis squared space minus space left parenthesis 0.87 right parenthesis space cross times space left parenthesis 0.13 right parenthesis space end fraction

$1 half$
2
1
1

102 Views

28.

3 over 4 open parentheses 1 plus 1 third close parentheses space open parentheses 1 plus 2 over 3 close parentheses space open parentheses 1 minus 2 over 5 close parentheses space open parentheses 1 plus 6 over 7 close parentheses space open parentheses 1 minus 12 over 13 close parentheses

is equal to

$2 over 13$
$1 over 7$
$1 over 6$
$1 over 6$

95 Views

29.

The value of:
$fraction numerator left parenthesis 0.67 space cross times space 0.67 space cross times space 0.67 right parenthesis space minus space left parenthesis 0.33 space cross times space 0.33 space cross times space 0.33 right parenthesis over denominator left parenthesis 0.67 space cross times space 0.67 right parenthesis space plus space left parenthesis 0.67 space cross times space 0.33 right parenthesis space plus space left parenthesis 0.33 space cross times space 0.33 right parenthesis end fraction$ is

128 Views

30.

The value of :
$4 minus fraction numerator 1 over denominator 1 plus begin display style fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator begin display style fraction numerator 8 plus 1 over denominator 4 end fraction end style end fraction end style end fraction end style end fraction$ is