Tripura TET Mathematics Solution from Decimal Fractions
ত্রিপুরা টেট এর অংক বিষয়ের সম্ভাব্য কিছু প্রশ্নাবলী ও তার সমাধান
(1) 3 x 0.3 x 0.3 x 0.003 x 30 = ?
(2) 0.04 x 0.0162 = ?
(3) The mass of earth is 5983000000000000000000000 kg. In standard form, we express it as:
Ans:- Given number = 5983 x 1021 = 5.983 x 1021 = 5.983 x 1024
(4) When simplified (2.43 x 2.43 + 2.43 x 7.57 x 2 + 7.57 x 7.57) is equal to
Ans:- Given expression = (a2+ 2ab + b2), where a = 2.43 and b = 7.57
= (a + b)2 = (2.43 + 7.57)2 = (10)2 = 100.
(5) (6.5 x 6.5 – 45.5 + 3.5 x 3.5) = ?
Ans:- Given expression = (6.5)2 – 2 x 6.5 x 3.5 x + (3.5)2 = (6.5 – 3.5)2 = 32 = 9.
(7) (256)0.16 x (16)0.18 = ?
Ans:- (256)0.16 x (16)0.18 = (44)0.16 x (42)0.18 = 4(4 x 0.16) = 4(0.64 + 0.36) = 41 = 4.
(8) 0.9 ÷ 0.75 = ?
(9) 0.001 ÷ ? = 0.01
(12) The value of {(.98)3 + (.02)3 + 3 x .98 x .02 – 1} is
Ans:- Given Expression = [{a3 + b3 + 3ab (a + b)} – 1], where a = 0.98, b = 0.02
= {[a + b)3 – 1} = (.98 + .02)3 – 1 = (1)3 – 1 = (1 – 1) = 0
(13) HCF of 1.08, 0.36 and 0.9 is
Ans:- The given numbers are 1.08, 0.36 and 0.90.
H.C.F. of 108, 36, 90 is 18.
Required H.C.F. = 0.18
(14) The H.C.F. of 0.54, 1.8 and 7.2 is
Ans:- The given numbers are 0.54, 1.80 and 7.20.
H.C.F. of 54, 180, 720 is 18.
(15) (25.732)2 – (15.732)2 =?
Ans:- Given Expression = (25.732 + 15.732) (25.732 – 15.732) = 41.764 x 10 = 414.64.
