Q1. The difference of length & breadth of a rectangle is equal to 24cm and ratio of area of rectangle to area of square is 5 : 9. If the perimeter of rectangle is 72 cm. find the volume of cone given that height of cone is equal to breadth of rectangle and radius is equal to side of square (Length of rectangle is greater than its breadth).
(a) 624π cm³
(b) 726π cm³
(c) 824 π cm³
(d) 648π cm³
(e) None of these
Q2. The ratio of age of Amit and his father 5 years ago is 2 : 5. If age of his mother is 20% more than the present age of his father. Then find difference of age of his father and mother after 10 years given that age of Amit 3 year hence will be 32 years?
(a) 11 years
(b) 13 years
(c) 8 years
(d) 17 years
(e) 15 years
Q3. The number of girls in the college was 50 less than the number of boys in that college. Subsequently, a few number of girls joined that college and the ratio of boys and girls become 2 : 5. Find the minimum number of girls who joined college recently (Number of boys and girls are positive integer).
(a) 116
(b) 120
(c) 124
(d) 128
(e) 136
Q4. Average weight of group of some children increases by 1 when 2 children join them. If instead of these 2 children another 2 children join the group, then average decreased by 1 but total weight becomes more than initial weight. If difference between the sums of weight of 2 children of previous one to later one is 14 then find the initial number of children in group.
(a) 7
(b) 5
(c) 3
(d) 6
(e) None of these
Q5. A right-angled triangle, having area 42 cm², is rotated along its base, as an axis, formed a cone. Curved surfaced area of such cone is increased by 
when it rotates along its height. What is the volume of cone, that formed when triangle rotate along its Base?
(a) 1056 cm³
(b) 1024 cm³
(c) 616 cm³
(d) 918 cm³
(e) None of these
Solutions
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