Q. In a circle with the center, O. AD is the diameter and AC is a chord. Point B is on AC such that OB = 7 cm and ∠OBA = 60°. If ∠DOC = 60°, then what is the length of BC (in cm)?
1) 5
2) 7
3) 9
4) 3.5
Q. ABCD is a cyclic quadrilateral Diagonals BD and AC intersect each other at E. If ∠BEC = 138° and∠ECD = 35°, then what is the measure of ∠BAC ?
1) 133°
2) 123°
3) 113°
4) 103°
Q. In a class of 90 students, 60% are girls and the remaining are boys. The average marks for boys are 63 and that of girls is 70. What are the average marks of the whole class?
1) 65.3
2) 66.7
3) 67.2
4) 58.9
Q. The age of a mother today is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter, the present age of the daughter is -
1) 12 years
2) 14 years
3) 16 years
4) 18 years
Q. If one star equals to four circles and three circles equal to four diamonds, then what is the ratio of the star to diamonds?
1) 1 : 3
2) 3 : 4
3) 3 : 16
4) 16 : 3
Q. 18 people can do a work in 45 days. To complete the work in 30 days, how many people would be required?
1) 27
2) 21
3) 30
4) 45
Q. The average age of 14 students is 14 years. If the age of the teacher is added the average increases by 1. What is the age of the teacher?
1) 32 years
2) 30 years
3) 28 years
4) 29 years
Q. A man takes 50 minutes to cover a certain distance at a speed of 6 km/hr. If he walks at a speed of 10 km/hr, he covers the same distance in -
1) 10 minutes
2) 20 minutes
3) 30 minutes
4) 40 minutes
Q. If the sum of three consecutive numbers is 15, what is the square of the middle number?
1) 16
2) 25
3) 36
4) 42
Q. A man facing West goes 10 m and turns left and covers 20 m, then turns right and covers 20 m, then turns right and covers 20 m. At what distance is the man from starting point?
1) 30 m
2) 20 m
3) 40 m
4) 50 m
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