Mathematical Series Questions for Competitive Exams
If the differernce between the reciprocal of a positive proper fraction and fraction itself be$$17\over42$$, then the fraction is:
(A) $$9\over8$$
(B) $$8\over9$$
(C) $$5\over8$$
(D) $$7\over9$$
Correct Answer : B
What is the value of a when $$ {x^{2(3a+1)}}={x^{3}}$$ ?
(A) $$ {1\over 6}$$
(B) $$ {2\over 3}$$
(C) $$ {1\over 12}$$
(D) $$ {2\over 5}$$
Correct Answer : A
If $$ 5^{5x+1}=1 $$, then x equals
(A) 0
(B) -1
(C) 1
(D) $$ -{4\over5}$$
Correct Answer : B
Simplify $$ {^3\sqrt {{4} {12\over {125}}}}$$.
(A) 2
(B) 1
(C) $$ {1}{3\over5}$$
(D) $$ {2}{3\over5}$$
Correct Answer : C
Two numbers are in the ratio x : y . If 2 is added to both numerator and denominator , the fraction becomes $$ 1\over2$$. Find the value of x + y .
(A) 2
(B) 3
(C) 4
(D) 5
Correct Answer : D
Which of the following is largest fraction amongst $$ {5\over8}$$, $$ {3\over7}$$, $$ {2\over9}$$, $$ {4\over5}$$?
(A) $$ {3\over7}$$
(B) $$ {5\over8}$$
(C) $$ {4\over5}$$
(D) None of these
Correct Answer : C
Sum of 5 times of a fraction and 4 times its reciprocal is 9. What is fraction?
(A) $$ {2\over7}$$
(B) $$ {5\over4}$$
(C) $$ {4\over5}$$
(D) $$ {7\over2}$$
Correct Answer : C
Find the value of $$ {^3\sqrt{\sqrt{.000064}}}$$.
(A) 0.002
(B) 0.0002
(C) 0.2
(D) 0.02
Correct Answer : C
(A) 42 yrs
(B) 45 yrs
(C) 36 yrs
(D) 38 yrs
Correct Answer : B
Explanation :
Answer: B) 45 yrs Explanation: Let father's age be x year and son's age be y year. According to question, 2(x+y) = 8y _______(I) and (x+y)/2 = 30 => x+y = 60 years__________(II) From equation (I) and (II) 8 y = 120 y = 15 years, Hence x = 45 years.
(A) 30
(B) 32
(C) 34
(D) 35
Correct Answer : C