When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
The share of A when Rs 25 are divided between A and B, so that A gets Rs 8 more than B, is——–.
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?
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 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.
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?
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.
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
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
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.
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.
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.
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).
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.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
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 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.
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?
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?
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.
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——.
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.
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 }")
x-2=5-
x,then x=——-.
+1 (b) y + 
is————.
+ S = 
is
(b)