AILET entrance exam Question Bank Solutions

Opposite angles of any quadrilateral inscribed in a circle are

Angle subtended between any two chords of a circle, having common point on its circumference is called

A line that intersects two lines in different points is known as

A straight line which touches circumference of a circle at a single point only is known as

A line segment joining any 2 points on circumference of a circle is called

To display 500 Wax Statuettes in a Museum, it is required to construct a big rectangular hall, allowing 22.5 m3 space per statuette. The height of the hall is to be kept at 7.5 m, while the total inner surface area of the walls must be 1,200 sq.m. Then the length and breadth of the hall, respectively, are

The ratio between the length and the breadth of a rectangular Jogging Park is 3: 2. If Ashish cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is

The cost of setting up the type of magazine is ₹1000. the cost of running the printing machine is ₹120 per 100 copies, the cost of paper, ink and so on is 60 paise per copy. The magazines are sold at ₹2.75 each. 900 copies are printed, but only 784 copies are sold. What is the sum to be obtained from advertisements to give a profit of 10% on the cost?

A shopkeeper mixes two varieties of Tea, one costing ₹40/kg and another ₹50/kg in the ratio 3: 2. If he sells the mixed variety of Tea at ₹48/kg, his gain or loss percent is

Publisher sells books to a retailer at a marked price which is 20% above his outlay. If on cash payment, he allows a discount of 10% goes the marked price. The publisher thus gains

Devendra, a computer accessories vendor gave a discount of 20% on a pen-drive and his profit reduced from ₹200 to ₹100. What is Devendra’s cost price?

A shirt was sold at a profit of 15%, If its cost had been 5% less and it had been sold for ₹21 less, then the profit would have been 10%. Find the cost of the shirt.

Amrit wants to sell cars at 25% above the cost price. Due to a slump in the market, his cost reduces by 5%. He thus offers a discount of 8% due to which the sales go up by 25%. Compute the change in Amrit’s profit.

A shopkeeper sells one transistor for ₹ 840 at a gain of 20% and another for ₹ 960 at a loss of 4%. His total gain or loss percent is

100 oranges are bought at the rate of ₹ 350 and sold at the rate of ₹ 48 per dozen. The percentage of profit or loss is

When a plot is sold for ₹ 18700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

In a certain store, the profit is 320% of the cost. If the cost increases by 25%, but the selling price remains constant, approximately what percentage of the selling price is the profit?

If the selling price is doubled and the profit triples, find the profit percent.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is