Q3. The ratio of the length and the breadth of a rectangular plot is 6 : 5 and the ratio of numerical value of perimeter and the area of this plot is 2 : 15. Find the perimeter of a square whose numerical value of its area is equal to numerical value of the perimeter of the rectangle?
(a) 40 cm
(b) 36 cm
(c) 44 cm
(d) 48 cm
(e) 52 cm
Q4. A sphere and a cube have equal surface areas. Find the ratio of radius of sphere to side of cube.
(a) √21 : 2 √11
(b) 21 : 44
(c) 14 : 42
(d) 17 : 46
(e) None of these
Q6. How many five digits number can be formed using the digits 1, 3, 4, 5, 6, 7 without repetition of digits?
(a) 120
(b) 144
(c) 720
(d) 840
(e) 420
Q7. In how many ways can a group of 5 men and 2 women be made out of total of 7 men and 3 women?
(a) 63
(b) 45
(c) 126
(d) 90
(e) 84
Q8. In a class there are 10 boys and 3 girls. A game was organized, find the probability of coming at least one girl in first three positions when all students participated in that game.
3/10
83/143
157/286
167/289
157/289
Q9. From numbers 1 to 15 two no. are selected what is the probability that both the selected no. are even numbers.
(a) 0.20
(b) 0.30
(c) 0.25
(d) 0.35
(e) 0.40
Q10. Ayush has 5 milky bar chocolates, 2 Silk Oreo chocolates & 8 Bournville chocolates. If he selected two chocolates randomly to eat, then find the probability of getting at most 1 Silk Oreo chocolate.
(a) 33/35
(b) 104/105
(c) 6/7
(d) 19/21
(e) 14/15
Solutions