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Study the following information carefully and answer the given questions. In a school 4 students A, B, C and D appeared in an English examination which is consist of 15 short and 4 long questions are asked. Each of short question carry 5 marks and each of long questions carry 10 mark and for a spelling error 0.5 mark is deducted. For not attempting a question, zero marks is awarded. In the English exam, A answered (x + 6) short questions, x long questions and did (2x + 10) spelling errors. Ratio of number of spelling errors made by A and B is 8 : 3. Total marks scored by D is 86. Ratio of short and long questions answered by B In the English exam is 5 : 1 and he scored total 102 marks. C scored 35 marks more in short questions than long questions except spelling errors and the number of spelling errors made by C is equal to the difference of the number of spelling errors made by A and B. Number of short questions answered by D is average of that answered by A and B. Percentage of number of long questions answered among all the question answered by D is 20% . Average of the number of spelling errors made by all four students A, B, C and D is 10. Each student attempts integral number of short as well as long questions. Average number of short questions answered by A, B, C and D is 11.75, then the total marks scored by C in the English exam is

A sphere of mass m and radius R is kept on a rough horizontal floor. Constant force Facts at the top point of sphere along tangent. If there is sufficient friction on the floor to support pure rolling then calculate acceleration of sphere.

A dry cell has an e.m.f. of 1.5 V and an internal resistance of 0.05 Omega . The maximum current obtainable from this cell for a very short time interval is

A cell of emf 6 V and resistance 0.5 ohm is short circuited. The current in the cell is

The magnetic induction due to a short magnet at a distance of 20 cm on the axial line of a short bar magnet is 1.5xx10^(-6)" Wb/m"^(2) . What is the magnetic induction at a point on its axis at a distance of 5 cm from the centre of the magnet?

The main benefit to the economy from an active stock market is the ready availability of risk capital for investment in equities through the primary market. For that risk capital to be readily available, investors need to have an easy exit route. Aliquid secondary market provides an easy exit route through the active involvement of buyers and sellers. It does not matter whether these buyers and sellers have short or long-term investment horizons. Liquidity in the market is enhanced by leveraged players who either borrow to play the market or achieve a similar result through futures contracts whose economic value includes financing costs. Short-sellers confer a similar benefit by borrowing stock or achieving the same result through futures contracts. Inference : Passive stock market enhances availability of capital. 1) If the inference is definitely true' i.e. it properly follows from the statement of facts given. 2) if the inference is probably true though not definitely true' in the light of the facts given. 3) If the data are inadequate, le from the facts given you cannot say whether the inference is likely to be true or false 4) If the inference is probably false", though not definitely false' in the light of the facts given.

What is the magnetic induction due to a short bar magnet of magnetic moment 0.5 Am^(2) at a point along the equator at a distance of 20 cm from the centre of the magnet?

"Makeup Pacing Fancy Oatmeal" is written as "N6Q6G5Q7" If the code for the words ' fact facings ____________' is coded as 'U4 G7 T5' in the coded language then what will be the missing word ?