## Mathematics and Pedagogy MCQ Question with Answer

Q1. The smallest number by which 3087 may be multiplied so that the product is a perfect cube is

(a) 6

(b) 5

(c) 4

(d) 3

Answer: (d) 33087 = 3 × 3 × 7 × 7 × 7 So, to make perfect cube it must be multiplied by 3 |

Q2. Surendra borrows Rs. 400 from his friend. He agrees to return the money after 4 yr at the rate of 5% per annum. How much amount will he pay?

(a) Rs. 500

(b) Rs. 580

(c) Rs. 480

(d) Rs. 400

Answer: (c) 480He pay = 400 + $ \frac{400\times 4\times 5}{100} $ = 480 |

Q3. A soap-cake measures 7 cm in length, 5 cm in breadth and 2.5 cm in height. How many soap-cakes can be placed in a cardboard box whose length, breadth and height are, respectively 56 cm, 40 cm and 25 cm?

(a) 64

(b) 640

(c) 6400

(d) 6440

Answer: (b) 640Volume of one soap-cake = 7 × 5 × 2.5 = 87.5 cc Volume of cardboard box = 56 × 40 × 25 = 5600 cc soap-cakes can be placed in a cardboard box= 5600/87.5 = 640 |

Q4. $ 17\frac{1}{16}$ decimal equivalent as

(a) 17.625

(b) 17.6025

(c) 17.0625

(d) 17.0525

Answer: (c) 17.0625$ 17\frac{1}{16}=17+\frac{1}{16}=17+0.0625=17.0625$ |

Q5. Two numbers are in the ratio 2:3. If 9 is added to each, they will be in the ratio 3:4, the numbers are

(a) 12, 28

(b) 8, 12

(c) 18, 27

(d) 10, 15

Answer: (c) 18, 27Let Numbers are 2x and 3x $ \frac{2x+9}{3x+9}=\frac{3}{4} $ or 9x + 27 = 8x + 36 or x = 9 Numbers are 18 and 27 |

Q6. The average of 4 numbers is 7. If the sum of first three numbers is 20, find the fourth number.

(a) 7

(b) 10

(c) 9

(d) 8

Answer: (d) 8Sum of 4 numbers = 28 sum of first three numbers = 20 fourth number = 28 – 20 = 8 |

Q7. Rajesh purchased a watch for Rs. 300. He sold it for Rs. 330. Find the profit percent.

(a) 5%

(b) 13%

(c) 14%

(d) 10%

Answer: (d) 10%Profit percent = $ \frac{profit}{CP}\times 100=\frac{30}{300}\times 100=10\%$ |

Q8. ∠POR and ∠QOR form a linear pair. If a – b =80°, then the value of a and b is respectively

(a) 108°, 72°

(b) 105°, 75°

(c) 95°, 85°

(d) 130°, 50°

Answer: (d) 130°, 50°a – b =80° from linear pair property a + b = 180° $ a=\frac{80+180}{2}=130\,\,and\,\,b\,\,=\frac{180-80}{2}=50$ |

Q9. Simplify : $ \frac{\left( 48 \right) ^{-2}\times \left( 64 \right) ^{\frac{1}{2}}}{\left( 24 \right) ^{-1}}$

(a) 24

(b) 12

(c) 12^{-1}

(d) None of these

Answer: (c) 12^{-1}$ \frac{\left( 48 \right) ^{-2}\times \left( 64 \right) ^{\frac{1}{2}}}{\left( 24 \right) ^{-1}}\,\,=\,\,\frac{24\times 8}{48\times 48}=\frac{1}{12}=12^{-1} $ |

Q10. A water tank is 3 m long, 2.5 m broad and 4 m high. What is the capacity of the tank in liters, if 1000 cu cm=1L?

(a) 20000

(b) 5000

(c) 30000

(d) 4000

Answer: (c) 30000capacity of the tank = 300 × 250 × 400 = 30000000 cc = 30000 liter |