851.
What is the maximum value of 7 cosA + 24 sinA + 32?
(A)
57
(B)
32
(C)
25
(D)
39
852.
In a circle with center O, the diameter AB extended to the point C, outside the circle. CD is a tangent at the point D on the
circle. If the radius of circle is 6 cm and ∠DBC = 120°, then the length of CD is equal to:
(A)
(B)
(C)
(D)
853.
A can finish a piece of work by working alone in 4 days. B, while working alone, can finish the same work in 12 days. If both
of them work together, then in how many days will the work be completed?
(A)
8
(B)
6
(C)
3
(D)
4
854.
The following bar graph represents the percentage marks obtained in grade 9, 10, 11 and 12 students in Economics, English
and History. Study the given bar graph carefully and answer the question that follows.
If the full marks in Economics is 100, English is 80 and History is 50, then find the total marks obtained by grade 10
students.
(A)
190
(B)
220
(C)
200
(D)
245
855.
If 20% of 35% of a number is 240.8, then 18% of that number (rounded off to 1 decimal place) is:
(A)
619.2
(B)
618.2
(C)
621.2
(D)
623.2
856.
Find the number of paper balls, each 2 cm in diameter, that can be made from a sphere of diameter 18 cm.
(A)
1020
(B)
625
(C)
729
(D)
484
857.
In a right angle triangle with sides 12 cm and 16 cm and hypotenuse 20 cm, the length of altitude drawn on the hypotenuse
from the opposite vertex is K. Find the value of K.
(A)
6.9 cm
(B)
9.6 cm
(C)
6.8 cm
(D)
8.6cm
858.
In an election there were only two candidates. One of the candidates secured 35% of votes and is defeated by the other
candidate by 381 votes. The total number of votes polled is:
(A)
635
(B)
1028
(C)
1270
(D)
514
859.
If the radius of the base and slant height of the cone is 6 cm and 10 cm, respectively, then the volume of the cone is equal
to:
(A)
98 π cm3
(B)
106 π cm3
(C)
96π cm3
(D)
108 π cm3
860.
The area of three adjacent faces of a cuboidal box is 120 cm2, 72 cm2 and 60 cm2, respectively. Find the volume (in cm3) of
the box.
