a) 4
b) 5
c) 6
d) 7
2. After three successive changes (two increases and one decrease, not necessarily in that particular order), the price of a watch became (154/125) of its initial price. If the percentage changes are P, 2P and 4P respectively, then what is the value of 4P?
Source: safalta
a) 20% or 40%
b) 40% or 200%
c) 200% or 8%
d) 8% or 20%
3. The average weight of 47 balls is 10 gm. If the weight of the bag is included, the calculated average weight per ball increases by 0.3 gm. What is the weight of the bag?
a) 16.1 gm
b) 15.1 gm
c) 14.1 gm
d) 13.1 gm
Sum of weight of 47 balls = 10 × 47 = 470 gm
Average weight per ball increases by 0.3 gm
Weight of the bag = 10.3 × 47 - 10 × 47 = 14.1 gm
4. Which of the following divides 34^3 + 25^3 + 30^3 + 21^3 ?I – 2
II – 5
III – 11
a) only I
b) only II
c) only III
d) I, II & III
5.The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?
a) 100/7
b) 200/7
c) 50/7
d) 150/7
6. In a five hour test, half way through, out of total Number of 300 questions Abhi answered 30% of the questions. What should be the percentage increase in average rate during the rest of the time so that Abhi can answer all the questions?
a) 33.33%
b) 166.67%
c) 133.33%
d) 66.67%
7. Two metallic right circular cones having their heights 7.6 cm and 9.2 cm and the radii of their bases are 4.2 cm both are melted together and recast into a sphere. What is the radius of the sphere?
a) 4.2 cm
b) 4.9 cm
c) 3.5 cm
d) 5.6 cm
a) 3087
b) 3187
c) 2987
d) 2887
9. Cone is cut out from a hemisphere in such a way that the radius and the height of the cone are equal to the radius of the hemisphere. Find the ratio of the volume of the cone and the remaining volume of the hemisphere.
a) 1 : 2
b) 2 : 1
c) 1 : 1
d) 3 : 1
10. Point P is the midpoint of segment AB. Co-ordinates of P are (3, 1) and B are (5, -4). What are the co-ordinates of point A?
a) (1, 6)
b) (1, -6)
c) (-1, 6)
d) (-1, -6)