Question 1
The value of \(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7}\) \({}+ 999\frac{4}{7} + 999\frac{5}{7}\) \({}+ 999\frac{6}{7}\) is equal to :
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The value of \(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7}\) \({}+ 999\frac{4}{7} + 999\frac{5}{7}\) \({}+ 999\frac{6}{7}\) is equal to :
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident?
Amit and Alok attempted to solve a quadratic equation. Amit made a mistake in writing down the constant term and ended up with roots \((4, 3)\). Alok made a mistake in writing down coefficient of \(x\) to get roots \((3, 2)\). The correct roots of the equation are:
How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?
From the four corners of a rectangular sheet of dimensions 25 cm \(\times\) 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is
\(2^{122} + 4^{62} + 8^{42} + 4^{64}\) \({}+ 2^{130}\) is divisible by which one of the following integers?
The cost of fencing of an equilateral triangular park and a square park is the same. If the area of the triangular park is \(16\sqrt{3}\) m\(^2\), then the length of the diagonal of the square park is :
The difference between compound and simple interests on a certain sum of money at the interest rate of \(10\%\) per annum for \(1\frac{1}{2}\) years is \(₹183\), when the interest is compounded semi-annually, then the sum of money is :
Which of the following statements is/are correct?
A. If \(2^x = 3^y = 6^{-z}\), then \(\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0\) B. \((243)^{0.16} \times (9)^{0.1}\) \({}= 0.3\) C. If \(3.105 \times 10^P\) \({}= 0.00239\) \({}+ 0.000715\), then \(P = -3\)
A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years.