1911.
The centres of two circles are 84 cm apart. If the radii of these two circles are 38 cm and 26 cm, respectively, then which of
the following options gives the length (in cm) of a direct common tangent of these two circles?
(A)
(B)
(C)
(D)
1912.
8 apples and 10 oranges weigh 5 kg. 12 apples and 20 oranges weigh 9 kg. What is the weight (in kg, rounded off to the
nearest integer) of 15 apples and 24 oranges?
(A)
13
(B)
10
(C)
16
(D)
11
1913.
Pradeep sells two fans at ₹480 each and by doing so he gains 20% on one fan and loses 20% on the other. His loss on the
whole (in ₹) is:
(A)
30
(B)
10
(C)
20
(D)
40
1914.
The perimeter of a square whose area is the same as the area of a semi-circle of radius 2√2 cm is:
(A)
(B)
(C)
(D)
1915.
X and Y are two points on the circumference of a circle having diameter 20 cm. The length of the line segment XY is 16 cm.
Find the distance (in cm) of the line segment XY from the centre of the circle.
(A)
6
(B)
3
(C)
5
(D)
4
1916.
The length of a common external tangent to two circles of an equal radius of 5 units is equal to the diameter of the circle.
Which of the following can be the distance between the centres of the circles in units?
(A)
10
(B)
12
(C)
9
(D)
8
1917.
A two-digit number is 12 more than five times the sum of its digits. The number formed by reversing the digits is 9 less than
the original number. The number is:
(A)
96
(B)
78
(C)
69
(D)
87
1918.
The ratio of the speeds of a boat while going upstream and going downstream is 2 : 3 and the sum of these two speeds is 15
km/h. What is the speed of the stream?
(A)
3.5 km/h
(B)
1.5 km/h
(C)
3 km/h
(D)
2.5 km/h
1919.
A’s income is equal to 125% of the income of B, while B’s savings are 120% of the savings of A. If the expenditure of B is
75% of the expenditure of A, then how much are B’s savings as a percentage of her expenditure?
(A)
(B)
(C)
(D)
1920.
Two numbers are in the ratio 2:3. Their sum is 135. Find the numbers.
