For the following questions answer them individually
Let x be the least 4-digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of | in each case. If x lies between 2800 and 3000, then what is the sum of the digits of x?
The average of n numbers is 42. If 75% of the numbers are increased by 4 each and the remaining numbers are decreased by 8 each, then what is the average of the numbers, so obtained?
A certain sum (in ₹)is invested at simple interest at y% per annum for at $$3\frac{1}{2}$$ years. Had it been invested at (y + 4) % per annum at simple interest, it would have fetched ₹4,452 more as interest. What is the sum?
When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% morethan theearlier one. If the family consumed 18.4 kg sugar per month earlier, then whatis its new consumption of sugar per month?
A person travels a distance of 240 km, partly by train and the rest by bus.He takes 3 1$$\frac{1}{2}$$ hours if he travels 150 km by the train and the rest by bus.If he travels 140 km by bus and rest by train .He takes 3 $$\frac{2}{3}$$. What is the Speed of the tarin?
P is a point outside a circle with centre O, and it is 14 cm away from the centre. A secant PAB drawn from P intersects the circle at the points A and B such that PA = 10 cm and PB = 16 cm. The diameter of the Circle is:
If $$\frac{1}{\cosec \theta + 1} + \frac{1}{\cosec \theta -1} = 2 \sec \theta, 0^\circ < \theta < 90^\circ$$, then the value of $$\frac{\tan \theta + 2 \sec \theta}{\cosec \theta}$$ is:
The marked price of an article is ₹530. After two successive discounts,it is sold for ₹396.44. If the first discount is 15%, and the second discount is x%, then what is the value of x?
If $$x + y + z = 10, xy + yz + zx =25$$ and $$xyz = 100$$, then what is the value of $$(x^3 + y^3 + z^3)?$$
After allowing 10% discount on the marked price of an article, a person makes a profit of 16%. If the cost price of the article is ₹648, then its marked price is: