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5/8 of a class are boys. What fraction are girls? 15. Add 3/8 + 4/7. 16. 7/8 of candidate who wrote an entrance exams passed and the rest fail. What fraction of candidates fail? 17. Multiply 484 by 12.

Mathematics

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Step-by-step solution

21 steps

Here are the solutions for questions 14-30 from the image, with special attention to questions 14 and 16.

14. 5/8 of a class are boys. What fraction are girls?

  1. The total fraction representing the class is 1.

  2. Subtract the fraction of boys from the total.

    Fraction of girls=1−58=88−58=38\text{Fraction of girls} = 1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}

    The final answer is a) 38\boxed{\text{a) } \frac{3}{8}}.

    15. Add 38+47\frac{3}{8} + \frac{4}{7}

  3. Find a common denominator for 8 and 7, which is 56.

    38=3×78×7=2156\frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56} 47=4×87×8=3256\frac{4}{7} = \frac{4 \times 8}{7 \times 8} = \frac{32}{56}
  4. Add the fractions.

    2156+3256=21+3256=5356\frac{21}{56} + \frac{32}{56} = \frac{21+32}{56} = \frac{53}{56}

    The calculated answer is 5356\frac{53}{56}. This result is not among the given options.
    The final answer is 5356\boxed{\frac{53}{56}}.

    16. 7/8 of candidate who wrote an entrance exams passed and the rest fail. What fraction of candidates fail?

  5. The total fraction of candidates is 1.

  6. Subtract the fraction of candidates who passed from the total.

    Fraction failed=1−78=88−78=18\text{Fraction failed} = 1 - \frac{7}{8} = \frac{8}{8} - \frac{7}{8} = \frac{1}{8}

    The calculated answer is 18\frac{1}{8}. This result is not among the given options.
    The final answer is 18\boxed{\frac{1}{8}}.

    17. Multiply 484 by 12

  7. Perform the multiplication.

    484×12=5808484 \times 12 = 5808

    The final answer is b) 5808\boxed{\text{b) } 5808}.

    18. Divide 63 by 3

  8. Perform the division.

    633=21\frac{63}{3} = 21

    The calculated answer is 21. This result is not among the given options.
    The final answer is 21\boxed{21}.

    19. 40 peoples are to be shared equally among 10 prison inmate. How many can each inmate get?

  9. Divide the total number of people by the number of inmates.

    4010=4\frac{40}{10} = 4

    The calculated answer is 4. This result is not among the given options.
    The final answer is 4\boxed{4}.

    20. Compare: 28+11_16+428 + 11 \_ 16 + 4

  10. Calculate both sides of the comparison.

    28+11=3928 + 11 = 39 16+4=2016 + 4 = 20
  11. Compare the results.

    39>2039 > 20

    The final answer is a) >\boxed{\text{a) } >}.

    21. Compare: 33+11_70+433 + 11 \_ 70 + 4

  12. Calculate both sides of the comparison.

    33+11=4433 + 11 = 44 70+4=7470 + 4 = 74
  13. Compare the results.

    44<7444 < 74

    The final answer is b) <\boxed{\text{b) } <}.

    22. Compare: 60+10_30+560 + 10 \_ 30 + 5

  14. Calculate both sides of the comparison.

    60+10=7060 + 10 = 70 30+5=3530 + 5 = 35
  15. Compare the results.

    70>3570 > 35

    The final answer is a) >\boxed{\text{a) } >}.

    23. Change 2100\frac{2}{100} to decimal fraction

  16. Divide the numerator by the denominator.

    2100=0.02\frac{2}{100} = 0.02

    The final answer is c) 0.02\boxed{\text{c) } 0.02}.

    24. Convert 35\frac{3}{5} to percentage

  17. Multiply the fraction by 100%.

    35×100%=3005%=60%\frac{3}{5} \times 100\% = \frac{300}{5}\% = 60\%

    The final answer is c) 60%\boxed{\text{c) } 60\%}.

    25. What is the value of 5 in 785002

  18. Identify the place value of the digit 5 in the number 785002.

    The digit 5 is in the thousands place.

  19. Calculate the value.

    5×1,000=5,0005 \times 1,000 = 5,000

    The final answer is c) 5000\boxed{\text{c) } 5000}.

    26. Add 2536 to 456

  20. Perform the addition.

    2536+456=29922536 + 456 = 2992

    The final answer is b) 2992\boxed{\text{b) } 2992}.

    27. Subtract 456 from 2536

  21. Perform the subtraction.

    2536−456=20802536 - 456 = 2080

    The final answer is b) 2080\boxed{\text{b) } 2080}.

    28. Triangle which has two side equal is called ....
    An isosceles triangle has at least two sides of equal length.
    The final answer is d) Isosceles triangle\boxed{\text{d) Isosceles triangle}}.

    29. An angle which measured 90∘90^\circ is called....
    An angle that measures exactly 90∘90^\circ is called a right angle.
    The final answer is c) Right angle\boxed{\text{c) Right angle}}.

    30. Square has all the side equal
    A square is a quadrilateral with four equal sides and four right angles. The statement is true.
    The final answer is a) True\boxed{\text{a) True}}.

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