A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch ma

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Question
A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Options
A. 76
B. 35
C. 49
D. 38.5

Correct Answer

38.5

Explanation

Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5

The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5

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1. A dice is numbered from 1 to 6 in different ways. If 1 is opposite to 5 and 2 is opposite to 3, then
Options
A. 4 is adjacent to 3 and 6
B. 2 is adjacent to 4 and 6
C. 4 is adjacent to 5 and 6
D. 6 is adjacent to 3 and 4

2. A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.
Options
A. 56
B. 48
C. 32
D. 64

3. A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?
Options
A. 4 is adjacent to 6
B. 2 is adjacent to 5
C. 1 is adjacent to 6
D. 1 is adjacent to 4

4. Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?
Options
A. 12
B. 13
C. 15
D. Cannot be determined

5. A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?
Options
A. 2 is opposite to 6
B. 1 is adjacent to 3
C. 3 is adjacent to 5
D. 3 is opposite to 5

6. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?
Options
A. Rs. 169.50
B. Rs.1700
C. Rs. 175.50
D. Rs. 180

7. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?
Options
A. 18 litres
B. 24 litres
C. 32 litres
D. 42 litres

8. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Options
A. 10
B. 20
C. 21
D. 25

9. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
Options
A. 400 kg
B. 560 kg
C. 600 kg
D. 640 kg

10. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Options
A. 1/3
B. 1/4
C. 1/5
D. 1/7

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