Decimal Fraction - Study Mode
[#106] Solve $$frac{3}{5}$$ of $$frac{4}{7}$$ of $$frac{5}{12}$$ of 1015 = ?
Correct Answer
(D) 145
Explanation
Solution: Given $$frac{3}{5}$$ of $$frac{4}{7}$$ of $$frac{5}{12}$$ of 1015 ⇒ x = $$frac{3}{5}$$ × $$frac{4}{7}$$ × $$frac{5}{12}$$ × 1015 ⇒ x = 145
[#107] The value of $$frac{241.6 × 0.3814 × 6.842}{0.4618 × 38.25 × 73.65}$$ xa0 xa0 is close to :
Correct Answer
(B) 0.4
Explanation
Solution: $$frac{241.6 × 0.3814 × 6.842}{0.4618 × 38.25 × 73.65}$$ ≈ $$frac{240 × 0.38 × 6.9}{0.46 × 38 × 75}$$ = $$frac{240 × 38 × 69}{46 × 38 × 75}$$ xa0 × $$frac{1}{10}$$ = $$frac{24}{5}$$ × $$frac{1}{10}$$ = $$frac{4.8}{10}$$ = 0.48 So, the value is close to 0.4
[#108] $${ ext{Evalute}}:frac{{{{left( {2.39}
ight)}^2} - {{left( {1.61}
ight)}^2}}}{{2.39 - 1.61}}$$
Correct Answer
(B) 4
Explanation
Solution: $$eqalign{
& ext{Let } a = 2.39 ext{ and } b = 1.61 cr
& { ext{Given Expression}} cr
& = frac{{{a^2} - {b^2}}}{{a - b}} cr
& = frac{{left( {a + b}
ight)left( {a - b}
ight)}}{{ {a - b} }} cr
& = {a + b} cr
& = {2.39 + 1.61} cr
& = 4 cr} $$
[#109] What decimal of an hour is a second ?
Correct Answer
(C) .00027
Explanation
Solution: $$eqalign{
& { ext{Required decimal}} cr
& = frac{1}{{60 imes 60}} cr
& = frac{1}{{3600}} cr
& = .00027 cr} $$
[#110] $${ ext{The}},{ ext{value}},{ ext{of}},frac{{{{left( {0.96}
ight)}^3} - {{left( {0.1}
ight)}^3}}}{{{{left( {0.96}
ight)}^2} + 0.096 + {{left( {0.1}
ight)}^2}}},{ ext{is}}:$$
Correct Answer
(A) 0.86
Explanation
Solution: $$eqalign{
& { ext{Given}},{ ext{expression}} cr
& = frac{{{{left( {0.96}
ight)}^3} - {{left( {0.1}
ight)}^3}}}{{{{left( {0.96}
ight)}^2} + left( {0.96 imes 0.1}
ight) + {{left( {0.1}
ight)}^2}}} cr
& = {frac{{{a^3} - {b^3}}}{{{a^2} + ab + {b^2}}}} cr
& = frac{left(a-b
ight) left(a^2 + ab + b^2
ight)}{left(a^2 + ab + b^2
ight)} cr
& = {a - b} cr
& = {0.96 - 0.1} cr
& = 0.86 cr} $$