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questions
List of practice Questions
An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is
MAT - 2006
MAT
Mathematics
Mensuration
At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is
\(\frac{5}{12}\)
. On walking 192 metres towards the tower, the tangent of the angle of elevation is
\(\frac{3}{4}\)
. The height of the tower is
MAT - 2006
MAT
Mathematics
Geometry
A school has 4 sections of Chemistry in Class X having 40, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
MAT - 2006
MAT
Mathematics
Average
The average score of boys in an examination of a school is 71 and that of girls is 73. The average score of the school in that examination is 71.8. Find the ratio of the number of boys to the number of girls that appeared in the examination.
MAT - 2006
MAT
Mathematics
Average
Company C sells a line of 25 products with an average retail price of Rs 1,200. If none of these products sells for less than Rs 420 and exactly 10 of the products sell for less than Rs 1,000, then what is the greatest possible selling price of the most expensive product?
MAT - 2006
MAT
Mathematics
Profit and Loss
A sink contains exactly 12 litres of water. If water is drained from the sink until it holds exactly 6 litres of water less than the quantity drained away, then how many litres of water were drained away?
MAT - 2006
MAT
Mathematics
Time and Work
A chemist has 10 litres of a solution that is 10 per cent nitric acid by volume. He wants to dilute the solution to 4 per cent strength by adding water. How many litres of water must he add?
MAT - 2006
MAT
Mathematics
Mixtures and Allegations
A company received two shipments of ball bearings. In the first shipment, 1 per cent of the ball bearings were defective. In the second shipment, which was twice as large as the first, 4.5 percent of the ball bearings were defective. If the company received a total of 100 defective ball bearings, then how many ball bearings were there in the first shipment?
MAT - 2006
MAT
Mathematics
Commercial Maths
In a certain laboratory, chemicals are identified by a colourcoding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique twocolour pair. If the order of colours in the pair doesn't matter, then what is the minimum number of differentcolours needed to code all the 20 chemicals with either a single colour or a unique pair of colours?
MAT - 2006
MAT
Mathematics
Probability
Population of a district is 2,96,000 of which 1,66,000 are males.
\(50\%\)
of the population is literate. If
\(70\%\)
males are literate, then the number of women who are literate, is
MAT - 2006
MAT
Mathematics
Percentage
Speed of a speedboat when moving in the direction perpendicular to the direction of the current is 16 km/hr. Speed of the current is 3 km per hour. So the speed of the boat against the current will be (in km/hr)
MAT - 2006
MAT
Mathematics
Boat and Stream
R and S start walking each other at 10 AM at the speeds of 3 km per hour and 4 km per hour respectively. They were initially 17.5 km apart. At what time do they meet?
MAT - 2006
MAT
Mathematics
Time, Speed and Distance
A shopkeeper marks up his goods to gain
\(35\%\)
. But he allows
\(10\%\)
discount for cash payment. His profit on the cash transaction therefore, in percentage, is
MAT - 2006
MAT
Mathematics
Percentage
A can do
\(50\%\)
more work as B can do in the same time. B alone can do a piece of work in 20 hours. A, with help of B, can finish the same work in how many hours?
MAT - 2006
MAT
Mathematics
Time, Speed and Distance
Profits of a business are distributed among three partners A, B and C in such a way that 4 times the amount received by A is equal to 6 times the amount received by B and 11 times the amount received by C. The ratio in which the three received the amount is
MAT - 2006
MAT
Mathematics
Profit and Loss
Students of a class are made to stand in rows. If 4 students are extra in each row, then there would be 2 rows less. If 4 students are less in each row, then there would be 4 more rows. The number of students in the class is
MAT - 2006
MAT
Mathematics
Elementary Mathematics
A part of monthly expenses of a family is constant and the remaining varies with the price of wheat. When the rate of wheat is Rs 250 a quintal, the total monthly expenses of the family are Rs 1000 and when it is Rs 240 a quintal, the total monthly expenses are Rs 980. Find the total monthly expenses of the family when the cost of wheat is Rs 350 a quintal.
MAT - 2006
MAT
Mathematics
Linear Programming
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
MAT - 2006
MAT
Mathematics
Time, Speed and Distance
A metallic sheet is of rectangular shape with dimensions 48 cm
\(\times\)
36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. Find the volume of the box.
MAT - 2006
MAT
Mathematics
Mensuration
Which bank projects itself as "Indian International Bank"?
MAT - 2006
MAT
General Awareness
International Organizations
The tagline "Everyday Solutions" is associated with which company?
MAT - 2006
MAT
General Awareness
Corporate News
"Servo" lubricant is a product from which oil company?
MAT - 2006
MAT
General Awareness
Corporate News
Which of the following companies is the world's largest maker of computer chips?
MAT - 2006
MAT
General Awareness
Science Technology and Inventions
Which airline is India's largest private sector passenger carrier?
MAT - 2006
MAT
General Awareness
Corporate News
The term CRM stands for
MAT - 2006
MAT
General Awareness
Corporate News
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