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.)

  • (A) 6.18
  • (B) 7.28
  • (C) 6.28
  • (D) 7.18

Total Quizz:- 2541

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