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(A) 0
(B) 1
(C) 3
(D) 2
Q.2. ABCD is a cyclic quadrilateral. Diagonal AC and BD meets at P. If
ABCD рдПрдХ рдЪрдХреНрд░реАрдп рдЪрддреБрд░реНрднреБрдЬ рд╣реИ рд╡рд┐рдХрд░реНрдг AC рдФрд░ BD, P рдкрд░ рдорд┐рд▓рддреЗ рд╣реИ .рдпрджрд┐
(A) 30o
(B) 55o
(C) 70o
(D) 80o
Q.3. AB is a diameter of a circle having center at O. PQ is chord which does not intersect AB. Join AP and BQ. If
O рдХреЗрдВрджреНрд░ рд╡рд╛рд▓реЗ рд╡реГрддреНрдд рдХрд╛ AB рд╡реНрдпрд╛рд╕ рд╣реИ PQ рдЬреАрд╡рд╛ рд╣реИ рдЬреЛ AB рдХреЛ рдирд╣реАрдВ рдХрд╛рдЯрддреА AP рдФрд░ BQ рдХреЛ рдорд┐рд▓рд╛рдпреЗ рдпрджрд┐
(A) Cyclic square/ рдЪрдХреНрд░реАрдп рд╡рд░реНрдЧ
(B) Cyclic rectangle/ рдЪрдХреНрд░реАрдп рдЖрдпрдд
(C) Cyclic rhombus/ рдЪрдХреНрд░реАрдп рд╕рдордЪрддреБрд░реНрднреБрдЬ
(D) Cyclic trapezium/ рдЪрдХреНрд░реАрдп рд╕рдорд▓рдореНрдм рдЪрддреБрд░реНрднреБрдЬ
Q.4. If
рдпрджрд┐
(A)
(B)
(C)
(D)
Q.5. If
рдпрджрд┐
(A) 0
(B)
(C)
(D)
Q.6.
(A)
(B)
(C)
(D)
Q.7. If
рдпрджрд┐
(A) 17.5
(B) 10.5
(C) 20.5
(D) 15.5
Q.8. If
рдпрджрд┐
(A) 99
(B) 324
(C) 910
(D) 315
Q.9. The sum of all interior angles of a regular polygon is twice of the sum of exterior angle. Then find the sum of the number of sides of the polygon is?
рдпрджрд┐ рдХрд┐рд╕реА рдмрд╣реБрднреБрдЬ рдХреЗ рдЕрдВрдд рдХреЛрдгреЛрдВ рдХрд╛ рдпреЛрдЧ рдмрд╛рд╣реНрдп рдХреЛрдгреЛрдВ рдХреЗ рдпреЛрдЧ рдХрд╛ рджреБрдЧрдирд╛ рд╣реИ рддреЛ рдмрд╣реБрднреБрдЬ рдХреЗ рднреБрдЬрд╛рдУ рдХреА рд╕рдВрдЦреНрдпрд╛ рдмрддрд╛рдпреЗрдВ?
(A) 10
(B) 8
(C) 12
(D) 6
Q.10. A runs twice as fast as B and B runs thrice as fast as C. the distance covered by C in 72 minutes, will be covered by A in:
A, B рд╕реЗ рджреБрдЧрдиреА рдЪрд╛рд▓ рд╕реЗ рднрд╛рдЧрддрд╛ рд╣реИ рдФрд░ B, C рд╕реЗ рддрд┐рдЧреБрдиреА рдЪрд╛рд▓ рд╕реЗ рднрд╛рдЧрддрд╛ рд╣реИ рдпрджрд┐ C рджреВрд░реА 72 рдорд┐рдирдЯ рдореЗрдВ рддрдп рдХрд░рддрд╛ рд╣реИ рддреЛ A рдХрд┐рддрдиреЗ рдорд┐рдирдЯ рдореЗрдВ рддрдп рдХрд░реЗрдЧрд╛?
(A) 18 minutes/ рдорд┐рдирдЯ
(B) 24 minutes/ рдорд┐рдирдЯ
(C) 12 minutes/ рдорд┐рдирдЯ
(D) 15 minutes/ рдорд┐рдирдЯ
ANSWER KEY:
1. Sol. (B)
2. Sol. (D)
3. Sol. (D)
ABQP is a cyclic trapezium/ABQP рдПрдХ рдЪрдХреНрд░реАрдп рд╕рдорд▓рдореНрдм рдЪрддреБрд░реНрднреБрдЬ рд╣реИ ред
4. Sol. (C)
5. Sol. (B)
6. Sol. (B)
7. Sol. (A)
8. Sol. (A)
9. Sol. (D)
10. Sol. (C) Ratio of the speed of A, B and C/A, B рдФрд░ C рдХреА рдЪрд╛рд▓ рдореЗрдВ рдЕрдиреБрдкрд╛рдд = 6 : 3 : 1
Ratio of the time of A, B and C/A, B рдФрд░ C рдХреЗ рд╕рдордп рдореЗрдВ рдЕрдиреБрдкрд╛рдд =
= 1: 2: 6
Time taken by A/A рджреНрд╡рд╛рд░рд╛ рд▓рд┐рдпрд╛ рдЧрдпрд╛ рд╕рдордп =