The value of x for which the expressions 19 - 5x and 19x + 5 become equal is ______.

If a + b + c = 0, then the value of a3 + b3 + c3 is

A got married 5 years ago. A’s present age is \(1\frac{1}{4}\) times his age at the time of marriage. 4 years from now, A’ s wife will be \(1\frac{1}{2}\) times her age at the time of marriage. Difference in age between husband and wife is

Sum of the digits of a two-digit number is 8. If the digits of the number are inter changed, then the new number is 36 more than the original number. What is the original number?

If a + b = 17 and a – b = 9 then the value of (4a2 + 4b2) is,

A man gets Rs.40 if he works for a day, and is fined 10% of this amount if he is absent for a day. After 60 days, if he receives a total of Rs.1300, find the no. of days he was absent for work.

If x + y = 4, x – y = 3, find the value of 16xy (x2 + y2).

The value of \(\frac{{{{\left( {0.017\; + \;0.319} \right)}^4} - \;{{\left( {0.017 - 0.319} \right)}^4}}}{{2\left( {0.017\left( {{{\left( {0.017\; + \;0.319} \right)}^3}\; - \;\left( {{{0.017}^3}\; + \;{{0.319}^3}} \right)} \right)\; + \;0.319\left( {{{\left( {0.017\; - \;0.319} \right)}^3} - \left( {{{0.017}^{3\;}} - \;{{0.319}^3}} \right)} \right)} \right)}}\)

Find the value of \(\sqrt {{{\left( {2x - 5} \right)}^2}} + 2\sqrt {{{\left( {x - 1} \right)}^2}} \), if 1 < x < 2

If x + y = 25 then (x – 15)3 + (y – 10)3 is :

If x and y are natural numbers such that x + y = 2017, then what is the value of (-1)x + (-1)y?

If x + (1/x) = 2, then the value of x99 + (1/x99) – 2 is

The expression \({\left( {27\; + \;\sqrt {756} } \right)^{1/3}}\; + \;{\left( {27 - \sqrt {756} } \right)^{1/3}}\) is equivalent to -

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

If P + 1/P = 8, then the value of \({\left( {P - 8} \right)^{11}}\; + \;\frac{1}{{{{\rm{P}}^{11}}}}\) is

If xy = - 30 and x2 + y2 = 61, then find the value of (x + y).

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 3 tables together is Rs. 4500. The total price of 12 chairs and 5 tables is:

Rs. 3450 is to be divided among X, Y and Z in such a way that if X gets Rs. 11, then Y must get Rs. 18 and if Y gets Rs. 6, then Z must get Rs. 9.50. The share of Z will exceed to that of Y by –

The sum of three consecutive odd natural numbers is 93. The smallest of three numbers is:

The equations 3x + 4y = 10 -x + 2y = 0 Have the solution (a, b). The value of a + b is

The grocery store parking lot will hold 2000 vehicles 2/5 of the parking spaces are for cars. When you went to buy groceries, there were 400 cars and some trucks in the parking lot. The parking lot was ¾ full. How many trucks were in it?

Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?

A and B together have six times the sum what B and C together have, while A, B and C together have Rs. 30 more than the sum that A has. If B has four times the sum than that of C, the sum A has, is approximately –

The difference between a number and 2/7th of the number is 100. The number is

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

From 9.00 AM to 2.00 PM, the temperature rose at a constant rate from 26°C to 36°C, What was the temperature at noon?

A number is greater than twice its reciprocal by 31/4. Find the number.

Find the coefficient of x2 in the expansion of (x2 + x + 1) (x2 – x + 1)

If x + y + z = 1, \(\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 1\) and xyz = 1, then x3 + y3 + z3 is equal to