A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/h, then find the speed of the steamer in still water.
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 :2. Find their present ages.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Rs 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs 1000 more than Kiran and Jenifer gets Rs 500 more than Kiran. Find the money received by Jenifer.
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years, then her mother’s age before 5 years is (60 – y) years.
The value of x, for which the expressions 3x – 4 and 2x + 1 become equal, is
(a) -3 (b) 0
(c) 5 x (d) 1
15 The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.(a) 112 (b) 126 (c) 119 (d) 116
Any value of the variable, which makes both sides of an equation equal, is known as a———–of the equation.
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is——.
Two numbers differ by 40. When each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
If a and b are positive integers, then the solution of the equation ax = b has to be always
(a) positive (b) negative (c) one (d) zero
In questions 16 to 32, fill in the blanks to make each statement true.
Question. 16 In a linear equation, the——— power of the variable appearing in the equation is one.
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years, Reemu’s age will be 15p years.
In a 2-digit number, the unit’s place digit is x. If the sum of digits be 9, then the number is (10x – 9).
y = –
then y is equal to![-{ left[ frac { 3 }{ 4 }
ight] }^{ 2 }](http://s0.wp.com/latex.php?latex=-%7B+%5Cleft%5B+%5Cfrac+%7B+3+%7D%7B+4+%7D+%5Cright%5D+%7D%5E%7B+2+%7D&bg=ffffff&fg=000&s=0 "-{ left[ frac { 3 }{ 4 }
ight] }^{ 2 }")
(b)![-{ left[ frac { 4 }{ 3 }
ight] }^{ 2 }](http://s0.wp.com/latex.php?latex=-%7B+%5Cleft%5B+%5Cfrac+%7B+4+%7D%7B+3+%7D+%5Cright%5D+%7D%5E%7B+2+%7D&bg=ffffff&fg=000&s=0 "-{ left[ frac { 4 }{ 3 }
ight] }^{ 2 }")
![{ left[ frac { 3 }{ 4 }
ight] }^{ 2 }](http://s0.wp.com/latex.php?latex=%7B+%5Cleft%5B+%5Cfrac+%7B+3+%7D%7B+4+%7D+%5Cright%5D+%7D%5E%7B+2+%7D&bg=ffffff&fg=000&s=0 "{ left[ frac { 3 }{ 4 }
ight] }^{ 2 }")
(d)![{ left[ frac { 4 }{ 3 }
ight] }^{ 2 }](http://s0.wp.com/latex.php?latex=%7B+%5Cleft%5B+%5Cfrac+%7B+4+%7D%7B+3+%7D+%5Cright%5D+%7D%5E%7B+2+%7D&bg=ffffff&fg=000&s=0 "{ left[ frac { 4 }{ 3 }
ight] }^{ 2 }")
+1 (b) y + 
x-2=5-
x,then x=——-.
+ 30 = 18 has the solution as——–.