Instructions

For the following questions answer them individually

Question 141

A can run 250m in 25 sec and B in 30 sec. How many metres start can A give to B in a km race so that the race may end in a dead-heat?

Question 142

Swastik purchased a laptop for Rs.75,000 and sold it to Anju suffering a loss of 10%. Anju sold the same laptop after earning a profit of 20%. At what price (in Rs.) did Anju sell the laptop?

Question 143

Let x = 224 and,y = 322. If the highest common factor of 23x and aÃ—y is divisible by x and y, then what can be the possible value of a?

Question 144

After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?

Question 145

AB is a chord in a circle of radius 13 cm. From centre O, a perpendicular is drawn through AB intersecting AB at point C. The length of OC is 5 cm. What is the length of AB?

Question 146

If the equation $$k(21x^2 + 24) + rx + (14x^2 - 9) = 0$$

$$k(7x^2 + 8) + px + (2x^2 - 3) = 0$$ have both roots common, then the value of $$\frac{p}{r}$$ is:

Question 147

The ratio of first and second sum of money is 7:8. If the first sum is 35, the second sum is:

Question 148

The difference between the semi-perimeter and the sides of Î”PQR are 18 cm, 17 cm and 25 cm, respectively. Find the area of the triangle.

Question 149

The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?

Question 150

What are the values of â€˜&â€™ and â€˜#â€™, respectively, if the following number is perfectly divisible by 9?

51&918#0

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