The price of sugar having gone down by 10%, a consumer can buy 5 kg more sugar for ₹ 270. The difference between the original and reduced price per kg is

• 62 paise

• 60 paise

• 75 paise

• 53 paise

A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is 

• 10.5 m

• 3.5 m

• 5.5 m

• 7.5 m

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then, AP : BP is

• 3 : 5

• 1 : 4

• 4 : 1

• 2 : 3

A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work may finish in time?

• 40

• 50

• 48

• 56

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of  its inscribed circle is 6 cm. Find the sides of the triangle.

• 30, 24, 25

• 24, 36, 30

• 30, 40, 41

• 18, 24, 30

If a sin θ + b cos θ = c, then the value of a cos θ - b sin sin θ is

137.

The marked price of a watch was ₹ 720. A man bought the same for ₹ 550.80 after getting 2 successive discounts, the 1st being 10%. What was the 2nd discount?

• 18%

• 12%

• 14%

• 15%

A person bought two bicycles for ₹ 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get ₹ 5 more. The difference in the cost price of the two bicycles was

• ₹ 25

• ₹ 75

• ₹ 50

• ₹ 40

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for

• 

• 12 days

• 

• 14 days

Each of the two circles same radius a passes through the centre of the other. If the circles cut each other at the points A, B and O, O' be their centres, area of the quadrilateral AOBO' is

• 

• 

• 

• a²