511.
If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = ______.
(A)
7
(B)
8
(C)
6
(D)
5
512.
The population of a town first decreased by 16% due to migration to a big city for better job opportunities. The next year, the
population of the town increased by 21% as there were better facilities for jobs. What is the net percentage change (correct
to 2 decimal places) in the population?
(A)
Decrease by 2.54%
(B)
Increase by 2.54%
(C)
Increase by 1.64%
(D)
Decrease by 1.64%
513.
Monthly salary of Jitvik in the month of December 2020 was ₹24,800. Every year his salary increases by 5% from the month
of January. What was his salary (in ₹) in the month of February 2022?
(A)
27342
(B)
26485
(C)
27486
(D)
27180
514.
The distance between the centres of two circles of radii 7 cm and 5 cm is 15 cm. Find the length of the transverse common
tangent to these circles.
(A)
7 cm
(B)
13 cm
(C)
11 cm
(D)
9 cm
515.
If tan A = a tan B and sin A = b sin B, then the value of cos2A is:
(A)
(B)
(C)
(D)
516.
3 solid spheres of diameters 6 cm, 8 cm and 10 cm are melted together to form a single solid sphere. Find its radius.
(A)
12 cm
(B)
9 cm
(C)
3 cm
(D)
6 cm
517.
What is the smallest number that must be added to 19487161 so that it is divisible by 11?
(A)
11
(B)
5
(C)
16
(D)
10
518.
If the income of Neha is 5% more than that of Monica, then the income of Monica is what percentage less than that of Neha?
(A)
(B)
(C)
(D)
519.
In a triangle ABC, AB = AC. BC is extended to D such that CD = AB and the angle ADC is 30°. What are the angles of triangle
ABC?
(A)
30°, 60°, 90°
(B)
50°, 60°, 70°
(C)
60°, 60°, 60°
(D)
45°, 60°, 75°
520.
Two parallel chords of length 5 units and 8 units are on opposite sides of the center of a circle of radius 7 units. What is the
distance between the chords? (round your answer to two decimal places)
