Basic Numeracy/Quantitative Aptitude

Detailed Solution

305. b: Let the original price of the cycle be 100. After the first reduction the price will be 75.
This new price is then reduced by 20% = 0.8 x 75 = 60
60 represents a reduction of 40 percent on the original.

306. c: The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.
The difference, x - y will be 4.

307. d: The value of the expression must be negative. But squares and even powers are always positive, and so y and z could be either negative or positive. Therefore x5 must be negative, and x is negative. However, each of the choices given has either a y or a z in it, so e cannot be certain whether the product is negative or positive.

308. d: a value x is selected for angle ACB and one quarter of the value is taken for angle BAC, we could work out the value for the other angle of the triangle. Also angle ACD would be 180 - x. The problem is that we could choose a range of different values for x and still make them fit the given information. Therefore we cannot work out any one value for angle ACD.

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