Simplification Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
51). It is required to get 40% marks to qualify an exam. A candidate scored 200 marks and failed by 8 marks. What were the maximum marks of that exam?
A). 520
B). 540
C). 502
D). Couldn't be determined
52). Bus fare between Raipur and Mirpur for one adult is six times the fare for one child. If an adult's bus fare is Rs.114, how much amount will be paid by 4 adults and 5 children together for travelling the same distance?
A). Rs.505
B). Rs.551
C). Rs.572
D). Rs.560
53). The total cost of 12 pens and 5 pencils is equal to Rs.111. Also, the cost of 1 pencil is Rs.5 less than the cost of 1 pen. What will be the cost of 8 pens and 9 pencils?
A). Rs.89
B). Rs.97
C). Rs.91
D). Rs.78
54). Solve \( \Large \frac{ \left(999+588\right)^{2} - \left(999-588\right)^{2} }{999 \times 588} \)
A). 8
B). 3
C). 2
D). 4
55). Solve \( \Large \frac{ \left(238+131\right)^{2} + \left(238-131\right)^{2} }{238 \times 238+131 \times 131} \)
A). 4
B). 2
C). 8
D). 9


56). \( \Large \frac{\frac{1}{5}+999 \times \frac{494}{495} \times 99}{4} \)
A). 25000
B). 24225
C). 24800
D). 24750
57). Simplify \( \Large 6-\left[ 9-\{18- \left(15-\overline{12-9}\right) \} \right] \)
A). 1
B). 4
C). 5
D). 3
58). \( \Large \frac{5-\left[ \frac{3}{4}+\{ 2\frac{1}{2}- \left(\frac{1}{2}+ \overline{ \frac{1}{6}-\frac{1}{7}}\right)\} \right]}{2}=? \)
A). \( \Large 1\frac{23}{168} \)
B). \( \Large 2\frac{23}{168} \)
C). \( \Large 3\frac{23}{168} \)
D). \( \Large 4\frac{23}{168} \)
59). \( \Large \frac{\left[ 3\frac{1}{4} \div \{ 1\frac{1}{4}-0.5 \left(2\frac{1}{2}-\overline{\frac{1}{4}-\frac{1}{6}}\right) \} \right]}{4 \times \frac{1}{2}} \)
A). 245
B). 233
C). 234
D). 299
60). \( \Large \frac{\left(2.247\right)^{3} + \left(1.730\right)^{3} + \left(1.023\right)^{3} -3 \times 2.247 \times 1.730 \times 1.023}{ \left(2.247\right)^{2}+ \left(1.730\right)^{2}+ \left(1.023\right)^{2}-2.247 \times 1.730 - 1.730 \times 1.023 - 2.247 \times 1.023 }=? \)
A). 1.73
B). 4
C). 5
D). 5.247
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