a) M is dependent on only n and d
b) M is dependent on only d and a
c) M is dependent on only a and n
d) M is dependent on a, d and n
2. The figure below shows four circles with centres P, Q, R and S.
If the radius of each circle is equal to 26 cm, and TU = 10 cm, CD = 2 cm, AB = 6 cm and VW = 8 cm, find the perimeter of PQRS (in cm).
a) 104
b) 182
c) 156
d) 78
3. A, B, C, D and E are five students who took SSC2017. The following are the averages of their overall scores, taken three at a time: 119, 121, 124, 125, 123, 126, 127, 128, 129 and 132. What is the highest score among the scores of A, B, C, D and E?
a) 136
b) 138
c) 140
d) 134
4. Fourteen boys went to collect berries and returned with a total of 80 berries among themselves. If every boy collected at least one berry each, then what is the minimum number of pairs of boys that must have collected the same number of berries?
a) 0
b) 1
c) 2
d) 3
5. A string is cut into two parts. The ratio of the length of the whole string to that of the smaller part is the square of the ratio of the lengths of the larger and smaller parts. Approximately, what fraction of the length of the bigger part is the length of the smaller part?
a) 0.32
b) 0.42
c) 0.62
d) 0.72
6.
a) 651/26
b) 675/26
c) 695/26
d) 635/26
7. Pavan is twice as old as his son and three times as old as his daughter. Find the ratio of Pavan’s age to his son’s age when Pavan’s age becomes twice that of his daughter age.
a) 6/5
b) 7/5
c) 8/5
d) 9/5
8. In the above figure, there are two equal circles (with centres E and F respectively), each passing through the centre of the other. B and C are their points of intersection. Find the measure of angle CBH if GH is the tangent to the circle with centre E, at B.
a) 60°
b) 45°
c) 50°
d) 55°
9. What is the remainder when 3^1000 is divided by 91?
a) 51
b) 61
c) 71
d) 81
10. The side of an equilateral triangle is equal to the perimeter of a square which is equal to the perimeter of a nonagon. The perimeter of the equilateral
triangle is equal to the perimeter of a hexagon, which is equal to the perimeter of on octagon. If the sides of the equilateral triangle, square, nonagon, hexagon and the octagon are all integers (when expressed in cm) denoted by a, b, c, d and e respectively, which of the following is false?
a) d/b is an integer.
b) c/e is an integer.
c) ad/e is an integer.
d) ae/d is an integer.
