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.
When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
There are 40 passengers in a bus, some with Rs 3 tickets and remaining with Rs 10 tickets. The total collection from these passengers is Rs 295. Find how many passengers have tickets worth Rs 3?
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
15 The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.(a) 112 (b) 126 (c) 119 (d) 116
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 equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55 m.
On dividing Rs 200 between A and B, such that twice of A’s share is less than 3 times B’s share by 200, what is B’s share?
The share of A when Rs 25 are divided between A and B, so that A gets Rs 8 more than B, 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.
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs 100000, how much money did Anima have?
If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
In a two-digit number, digit in unit’s place is twice the digit in ten’s place. If 27 is added to it, digits are reversed. Find the number.
The shifting of a number from one side of an equation to other is called
(a) transposition (b) distributivity
(c) commutativity (d) associativity .
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
Any value of the variable, which makes both sides of an equation equal, is known as a———–of the equation.
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.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Hamid has three boxes of different fruits. Box A weighs 
If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2. What is the rational number?
A carpenter charged Rs 2500 for making a bed. The cost of materials used is Rs 1100 and the labour charge is Rs 200 per hour. For how many hours did the carpenter work?
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.
Denominator of a number is 4 less than its numerator. If 6 is added to the numerator, it becomes thrice the denominator. Find the fraction.
Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?
When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
is————.
-4 =
, then the numerical value of 2x – 7 is
(b)
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 }")
+ 30 = 18 has the solution as——–.
x-2=5-
x,then x=——-.
