Mathematics Multiple Choice Questions & Answers on “Comparing Very Small and Large Number”.
1. Mass of object A is 120000 and that of B is 0.240. Compare their masses.
a) Mass of Object B is approximately is 105 times larger than A
b) Mass of Object A is approximately is 105 times larger than B
c) Mass of Object A is approximately is 106 times larger than B
d) Mass of Object B is approximately is 106 times larger than A
Answer: c
Clarification: (frac{mass, of, object, A}{mass, of, object, B} = frac{1.2 × 10^5}{2.4 × 10^{-1}} = frac{1.2 × 10^6}{2.4})
⇒ Mass of Object A is approximately is 106 times larger than B.
2. Compare the radius of circle P (r1 = 10.2 × 10-6) with the radius of circle B (r1 = 0.2 × 10-5).
a) r1 = 6.1r2
b) r2 = 5r1
c) r1 = 5r2
d) r1 = 5.1r2
Answer: d
Clarification: (frac{r_1}{r_2} = frac{10.2 × 10^{-6}}{0.2 × 10^{-5}} = frac{10.2 × 10^{-1}}{0.2}) = (frac{1.02}{0.2}) = 5.1.
3. Mass of a neutron is 1.675 × 10-27 and mass of proton is 1.672 × 10-27. Find the total mass.
a) 3.347 × 10-27
b) 3.337 × 10-27
c) 3.447 × 10-27
d) 3.357 × 10-27
Answer: a
Clarification: Total mass = mass of neutron + mass of proton = 1.675 × 10-27 + 1.672 × 10-27 = (1.675 + 1.672) × 10-27 = 3.347 × 10-27.
4. Distance between A to C is 2.1 × 1011 and that of A to B is 3.12 × 109. Find the distance between B and C.
a) 2.1312 × 1011
b) 2.0412 × 1011
c) 2.1312 × 1011
d) 2.1312 × 1010
Answer: c
Clarification: Distance between B and C = AC – AB = 2.1 × 1011 – 3.12 × 109 = (2.1 + 0.0312) × 1011 = 2.1312 × 1011.
5. Compare volumes of cube A having side 2 × 102 m and cube B having side 1 × 101 m.
a) V1 = 800V2
b) V1 = 8000V2
c) V2 = 8000V1
d) V2 = 800V1
Answer: b
Clarification: volume of cube A = (2 × 102)3 = 8 × 106 m3.
⇒ Volume of cube B = (101)3 = 103
⇒ (frac{V_1}{V_2} = frac{8 × 10^6}{10^3}) = 8000.