Mathematics and Pedagogy MCQ Questions with Answer

Mathematics and Pedagogy MCQ Questions with Answer
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Q31. A bicycle originally cost Rs. 100 and was discounted 10%. After three months it was sold after being discounted 15%. How much was the bicycle sold for?

(a) Rs. 55.50

(b) Rs. 95.25

(d) None of these

Answer: (c) Rs. 76.50

Solution: Sold price of by-cycle = $100\times \frac{\left( 100-10 \right)}{100}\times \frac{\left( 100-15 \right)}{100}=76.50$

Trick: Sold price after

= $\mathrm{C}.\mathrm{P}\times \frac{\left( 100-\mathrm{x} \right)}{100}\times \frac{\left( 100-\mathrm{y} \right)}{100}\times \frac{\left( 100-\mathrm{z} \right)}{100}$

Q32. Which of the following fraction is the smallest?

$\frac{7}{6}, \frac{7}{9}, \frac{4}{5}, \frac{5}{7} \\ \left( \mathrm{a} \right) \,\,\frac{7}{6} \\ \left( \mathrm{b} \right) \,\,\frac{7}{9} \\ \left( \mathrm{c} \right) \,\,\frac{4}{5} \\ \left( \mathrm{d} \right) \,\,\frac{5}{7}$

Answer:

$\left( \mathrm{d} \right) \,\,\frac{5}{7}$

Solution: LCM of 6, 9, 5, 7 = 630;

Now $630\times \frac{7}{6}=735$ ;

$630\times \frac{7}{9}=490$ ;

$630\times \frac{4}{5}=504$ ;

$630\times \frac{5}{7}=450$ (Smallest)

Q33. Which of the following fraction represent the given figure?

(a) $2\frac{1}{3}$

(b) $2\frac{2}{3}$

(d) $3\frac{1}{3}$

Answer: (c)

$2\frac{1}{2}$

Solution: $1+1+\frac{1}{2}=\frac{5}{2}=1\frac{1}{2}$

Q34. LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:

(a) 5

(b) 25

(d) 225

Answer: (c) 45

Solution: X = $\frac{\mathrm{HCF}\times \mathrm{LCM}}{\mathrm{Given} \mathrm{Number}} \\ =\frac{5\times 225}{25}=45$

Q35. Simplify: $1+\frac{2}{1+\frac{3}{1+\frac{4}{5}}}$

(a) $\frac{7}{4}$

(b) $\frac{4}{7}$

(d) $\frac{3}{7}$

Answer: (a)

$\frac{7}{4}$

Solution: 1^st ⇒ $1+\frac{4}{5}=\frac{9}{4}$ ;

2^nd ⇒ $1+\frac{3\times 5}{9}=\frac{8}{3}$ ;

3^rd ⇒ $1+\frac{2\times 3}{8}=\frac{7}{7}$

Q36. If the average marks of three batches of 55, 60 and 45 students respectively are 50, 55 and 60, then the average marks of all the students are:

(a) 54.68

(2) 53.33

(b) 55

Answer: (a) 54.68

Solution: The required average mark

= $\frac{55\times 50+60\times 55+45\times 60}{55+60+45}=54.6875$

Q37. A milkman bought 70 litres of milk for Rs. 630 and added 5 litres of water. If he sells it at Rs. 9.00 per litre, his profit percentage is :

(a) 8%

(b) 7%

(d) $7\frac{1}{7}

Answer: (d) $7\frac{1}{7}

Solution:

CP of 75 liters of mixture of milk and water = 630

SP of 75 liters of mixture of milk and water = 9 × 75 = 675

Gain = 675 – 630 = 45 Gain per cent = $\frac{45}{630}\times 100=7\frac{1}{7}$

Q38. The nature of mathematics is

(a) Ornamental

(b) Logical

(d) Not for common

Answer: (b) Logical

Q39.Which point is not included in the professional skills of a teacher?

(a) Knowledge of self

(b) to experiment well

(d) Satisfactory knowledge of the social matter

Answer: (d) Satisfactory knowledge of social matter

Q40. The most possibility of guessing is

(a) In the matching terms

(b) In true false terms

(d) None of these

Answer: (b) In true false terms

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Mathematics and Pedagogy MCQ Questions with Answer

Mathematics and Pedagogy MCQ Questions with Answer

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