1531.
How much time (in years) will it take for an amount of ₹4,50,000 to yield ₹45,000 as simple interest at a 5% per annum rate of
interest?
(A)
5
(B)
4
(C)
2
(D)
3
1532.
The measures of the three angles of a triangle are such that the smallest angle measures 42° less than the greatest angle,
while the measure of the remaining angle is 24° more than the measure of the smallest angle. Find the measure of the
smallest angle of the triangle.
(A)
42°
(B)
40°
(C)
38°
(D)
36°
1533.
In right triangle ABC with right angle at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D,
such that DM = CM. Point D is joined to B. If CD = 10 cm, and BD = 6 cm, find the value of CM.
(A)
8 cm
(B)
5 cm
(C)
9.5 cm
(D)
11.4 cm
1534.
The centers of two circles of radii 25 cm and 35 cm are 80 cm apart. What is the ratio of the lengths of the transverse
common tangent to the direct common tangent to these circles?
(A)
(B)
(C)
(D)
1535.
Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.
(A)
43 cm2
(B)
41 cm2
(C)
40 cm2
(D)
42 cm2
1536.
10 years ago, a man’s age was 5 times of his son’s age. 2 years hence, twice his age will be equal to 4 times the age of his
son. What is the present age (in years) of the son?
(A)
20
(B)
16
(C)
18
(D)
14
1537.
Last year, Ranjan’s monthly salary was ₹34,500 and this year his monthly salary is ₹38,640. What is the percentage increase
in Ranjan’s monthly salary this year over his monthly salary last year?
(A)
15%
(B)
12%
(C)
20%
(D)
13%
1538.
If two numbers are each divided by the same divisor, then the remainders are 6 and 7, respectively. If the sum of the two
numbers be divided by the same divisor, then the remainder is 5. The divisor is:
(A)
6
(B)
8
(C)
13
(D)
4
1539.
Rahul spends 70% of his income. His income increased by 15% and his expenditure increased by 7.5%. What is the
percentage increase in his savings?
(A)
(B)
(C)
(D)
1540.
In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR:
RQ = 1:5. If PR= 6 cm, then BC = ____.
