SSCCPO05June2016MorningShift Related Question Answers

101. The slope of the given line is:





102. Two pipes can independently fill a bucket in 20 minutes and 25 minutes. Both are turned on together for 5 minutes after which the second pipe is turned off. What is the time taken by the first pipe alone to fill the remaining portion of the bucket ?





103. A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss ?





104. Direction: Study the following bar graph showing the percentage of children who can read at the first grade level, grouped by their grade level in  an  Indian state.For example, in 2008, 82% of the children from Standard 3 could read a text from Standard 1.Now answer the following question based on this graph.  In the year 2010, what is the approximate value of average of all Std 1, 2, 3, 4, 5 children who could read the Std 1 text ?
 





105. The diagonals of two squares are in the ratio of 3: 7. What is the ratio of their areas ?





106. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount ?





107. If a + b + c = 1, ab + bc + ca = -1 and abc = -1, then the value of a$$^{3} + b^{3}+c^{3}$$ is:





108. The average of the first 7 integers in a series of 13 consecutive odd integers is 37. What is the average of the entire series ?





109. A sum of Rs. 2800 is divided into two parts in such a way that the interest on both the parts is equal. If the first part is lent at 9% p.a for 5 years and second part is for 6 years at 10% p.a., find the two sums.





110. On a certain sum of money, the simple interest for 2 years is Rs. 350 at the rate of 4% per annum. It was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned ?





111. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class ?





112. In $$\triangle$$ABC, D is the mid-point of BC and G is the centroid. If GD = 5 cm, then the length of AD is:





113. What is the value of $$\frac{(cot\ \theta+cosec\ \theta-1)}{(cot\ \theta-cosec\ \theta+1)}$$?





114. If $$\ \sqrt{5}\ $$= 2.236, then what is the value of $$\ \frac{\sqrt{5}}{2}+\frac{5}{3\sqrt{5}}-\sqrt{45}$$?





115. If $$\ \frac{a}{b}=\frac{1}{2}$$, find the value of the expression $$\ \frac{(2a-5b)}{(5a+3b)}$$





116. A merchant marks an article 20% above cost price. He then sells it at a discount of 20%. The sale given him.





117. In the figure below, AB is a chord of a circle with center O. A tangent AT is drawn at point A so that $$\angle$$BAT= $$50^{0}$$. Then $$\angle$$ADB=?





118. Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his business with a capital of Rs. 30,000. At the end of the year, they have made a profit of Rs. 19,000. What will be Anil’s share in the profit ?





119. Find the value of $$\frac{(243)^\frac{n}{5}\times3^{2n+1}}{9^{n}\times3^{n-1}}$$





120. If for a non-zero x, 3$$x^{2}+5x + 3 = 0$$, then the value of $$\ x^{3}+\frac{1}{x^{3}}$$ is:





121. The ratio of the volume of a cube to that of a sphere which will fit inside the cube is





122. A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to:





123. The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by 10% in next one hour, remains constant in next one hour and again increases by 5% per hour in next two hours. If the original count of the red blood cells in the sample is 40000, find the approximate red blood cell count at the end of 6 hours.





124. The compound interest on a sum of Rs. 5000 at 8% per annum for 9 months when interest is compound quarterly is:





125. A man rows to a place 35 km in distant and back in 10 hours 30 minutes. He found that he could row 5 km with the flow of stream in the same time as he can row 4 km against the stream. Find the rate of flow of the stream.





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