Question : Two circles C₁ and C₂ touch each other internally at P. Two lines PCA and PDB meet the circles C₁ in C, D, and C₂ in A, B respectively. If $\angle$BDC=120°, then the value of $\angle$ABP is equal to

Option 1: 60°

Option 2: 80°

Option 3: 100°

Option 4: 120°

Question : A circle is circumscribing a triangle whose sides are 30 cm, 40 cm, and 50 cm. Find the circumference of the circle.

Option 1: $75 \pi$ cm

Option 2: $25 \pi$ cm

Option 3: $100 \pi$ cm

Option 4: $50 \pi$ cm

Question : If a sum of money at simple interest becomes 45 times in 110 years, then in how many years will that sum become 23 times?

Option 1: 48

Option 2: 60

Option 3: 55

Option 4: 50

Question : A sum of money is divided among A, B, and C in the ratio 3 : 2 : 5, respectively. If the share of C is INR 300 more than B, then how much more money will A get than B?

Option 1: INR 150

Option 2: INR 75

Option 3: INR 100

Option 4: INR 125

Question : The average mark obtained by 120 students in an examination is 50. If the average mark of passed students is 70 and the average mark of the failed students is 30, then what is the number of students who passed the examination?

Option 1: 100

Option 2: 60

Option 3: 80

Option 4: 40