List of Mathematical Series Questions for Practice
From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.
(A) $$ {1\over3}π{r^{2}}h$$
(B) $$ {1\over24}π{r^{2}}h$$
(C) $$ {7\over24}π{r^{2}}h$$
(D) $$ {1\over8}π{r^{2}}h$$
Correct Answer : C
From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is
(A) 2πa
(B) $$ {π\over 5}{a}$$
(C) $$ {7π\over 5}{a}$$
(D) $$ {9π\over 5}{a}$$
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
The average age of 30 students of a class is 15 years. A 20-year-old student left the class and replaced by two new students, whose age difference is 5 years. If the average age of all students is 15 years, then what will be ratio of young student to elder students.
(A) 4 :5
(B) 3:5
(C) 3:4
(D) 4:3
Correct Answer : C