581.
PQ is parallel to SR in a trapezium PQRS. It is given that PQ > SR and the diagonals PR and QS intersect at O. If PO = 3 x −
15, OQ = x + 9, OR = x − 5 and OS = 5 and x has two values x1 and x2, then the value of (x1
2 - x2
2) is:
(A)
15
(B)
11
(C)
19
(D)
13
582.
AB and AC are two tangents to a circle having centres at the point X. What will be the measure of ∠BAC, if ∠BXC = 125°?
(A)
50°
(B)
48°
(C)
55°
(D)
52°
583.
12.75% is equivalent to _________.
(A)
(B)
(C)
(D)
584.
If the perimeter of a square is 64 cm, what would be its area?
(A)
(B)
(C)
(D)
585.
An amount of ₹50,000 becomes ₹72,000 in 4 years on a simple rate of interest. The rate of interest is _____ per annum.
(A)
9%
(B)
10%
(C)
11%
(D)
12%
586.
If 6,18, x are sides of a triangle and x is an integer, then the number of possible values of x is:
(A)
11
(B)
15
(C)
13
(D)
14
587.
By selling 30 metres of cloth a shopkeeper makes a profit equivalent to the selling price of 10 metres of cloth. Find the
selling price of 1 metre of cloth when the cost price of 1 metre of cloth is ₹480.
(A)
₹520
(B)
₹720
(C)
₹960
(D)
₹820
588.
A seven-digit number 489y5z6 is divisible by 72. Which of the options gives the highest possible product of y and z?
(A)
21
(B)
30
(C)
42
(D)
3
589.
In an election between two candidates, 10% of the registered voters did not cast their vote. The winning candidate got 60%
of the total votes cast and defeated the other candidate by 1242 votes. Find the total number of registered voters.
(A)
9600
(B)
6200
(C)
8640
(D)
6900
590.
For a given circle of radius 4 cm, the angle of its sector is 45°. Find the area (in cm2) of the sector.
(Use π = 3.14.)
