A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

If sec² θ + tan² θ = 5/3, then what is the value of tan 2θ?

A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite side of Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

The table given below represents the cost, revenue and tax rate for XYZ Limited for a period of 8 years.Cost and revenue are given in RS 000 crores,

profit for any year=revenue-cost
profit after tax for any year=profit of that year - tax of that year
Tax on any year=tax rate of that year * profit of the year
How much tax (in Rs 000 crores) was paid by XYZ limited in Y7?

The table given below represents the cost, revenue and tax rate for XYZ Limited for a period of 8 years.Cost and revenue are given in RS 000 crores,

profit for any year=revenue-cost
profit after tax for any year=profit of that year - tax of that year
Tax on any year=tax rate of that year * profit of the year
Which of the following is correct about profit after tax for year Y2, Y6 and Y8?

The table given below represents the cost, revenue and tax rate for XYZ Limited for a period of 8 years.Cost and revenue are given in RS 000 crores,

profit for any year=revenue-cost
profit after tax for any year=profit of that year - tax of that year
Tax on any year=tax rate of that year * profit of the year
How many distinct values of yearly profit are there?
Correct Answer: 5

The table given below represents the cost, revenue and tax rate for XYZ Limited for a period of 8 years.Cost and revenue are given in RS 000 crores,

profit for any year=revenue-cost
profit after tax for any year=profit of that year - tax of that year
Tax on any year=tax rate of that year * profit of the year
What is the total sum (in 000 crores) of profit after tax for Y1 to Y8?

English Comprehension

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.
My elder son deals with (1)/ spare parts and manages (2)/ his bread and butter. (3)/ No Error (4)

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.
Sneha was accused for murder of her husband (1)/ but the court found her (2)/ not guilty and acquitted her. (3)/ No Error (4)