CDAC Paper - 2006 - Part 6
CDAC Paper - 2006 - Part 6
101. How many terms of the series -9 , -6 , -3 ,.........must be taken such that the sum may be 66?
102. The side of a rectangle are whole numbers. What must their lengths be for the perimeter for the rectangle to be numerically equal to its area?
3 and 6
4 and 5
4 and 6
5 and 5
103. A path 7 metres wide surrounds a circular lawn whose diameter is 252m.What is the area of path?
None of these
104. If the negative of the sum of two consecutive odd numbers is less than -35, which of the following may be one of the numbers?
105. What is the perimeter of a rectangle that is twice as long as it is wide and has the same area as a circle of diameter 8?
106. Towns A and C are connected by a straight highway which is 60 miles long. The straight line distance between town A and town B is 50 miles, and the straight line distance from town B to town C is 50 miles. How many miles is it from town B to the point on the highway connecting town A and C which is closest to town B?
108. A batsman played 17 innings during a season and he was not out. The score of 85 improves his average by 3 runs in the 17th innings. His average score after 16th innings is
109. If paper costs 1 paisa per sheet, and a buyer gets a 2% discount on all the paper he buys after the first 1000 sheets, how much will it costs to buy 5000 sheets of paper?
110. The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is 8%
111. There are 4 quarts in a gallon. A gallon of motor oil sells for Rs.12 and a quart of the same oil sells for Rs.5. The owner of a rental agency has 6 machines and each machine needs 5 quarts of oil. What is the minimum amount of money she must spend to purchase enough oil ?
112. A truck departed from Newton at 11:53a.m. and arrived in Far City,240 miles away, at 4:41 p.m. on the same day. What was the approximate average speed of the truck on this trip?
113. A girl rode her bicycle from home to school, a distance of 15 miles, at an average speed of 15 miles per hour. She returned home from school by walking at an average speed of 5 miles per hour. What was her average speed for the round trip if she took the same route in both directions?
7.5 miles per hour
10 miles per hour
12.5 miles per hour
13 miles per hour
114. A is thrice as good a workman as B. If the time taken by B to do piece of works exceeds that taken by A by 8 days. In how many days A does the work.
115. The population of a town was 54,000 in the last census. It has increased 2/3 since then. Its present population is
116. One hundred job applicants show up in response to a classified ad.If 60 percent of them are female and if 3/4 of the female applicants are willing to relocate if the job demands it, how many are not willing to relocate?
It cannot be determined from the information given
117. Mr. Smith drove at an average speed of 50mph for the first two hours of his trip. For the next three hours, he averaged 20 mph. What was Mr. Smith`s average speed for the five-hour trip ?
118. A postal truck leaves its station and heads for Chicago, averaging 40mph. An error in the mailing schedule is spotted and 24 minutes after the truck leaves, a car is sent to overtake the truck. If the car averages 50mph, how long will it take to catch the postal truck?
119. The length breadth and height of a cuboid are in the ratio 1 : 2 :3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then the increase in the volume of the cuboid is
120. An Automobile covers the distance between two cities at a speed of 60km. per hour and on the return journey it covers at a speed of 40 km. per hour. Find the average speed.
121. A man buys 200 shares (par value of Rs.10) of a company, which pays 12% per annum as dividend, at such a price he gets 15% on his money. Find the market value(app.) of a share.
122. An old picture has dimensions 33 inches by 24 inches. What one length must be cut from each dimension so that the ratio of the shorter side to the longer side is 2:3?
10 1/2 inches
123. Hiralal earned a profit of Rs. 300 by selling 100 kg of mixture of A and B types of rice at a total price of Rs. 1100. What was the proportion of A and B types of rice in the mixture if the cost prices of A and B types of rice are Rs. 10 and Rs. 5 per kg respectively ?
3 : 2
2 : 5
2 : 773
5 : 2
124. A fraction has a value of 2/5. If the numerator is decreased by 2 and the denominator increased by 1, then the resulting fraction is 1/4.What is the value of the numerator of the original fraction ?