Practice Test

Q1) Graphically , the pair of equations 6x-3y+10=0, 2x-y+9=0
represents two lines which are Show Answer

Q2) The pair of equations x+2y+5=0 and -3x-6y+1=0 have: Show Answer

Q3) If a pair of linear equations is consistent , then the lines will be: Show Answer

Q4) The pair of equations x=a and y=b graphically represents lines which are: Show Answer

Q5) The pair of equations y=0 and y=-7 has: Show Answer

Q6) One equation of a pair of dependent linear equations is -5x+7y=2. The second equation can be: Show Answer

Q7) For what value of k, do the equations 3x-y+8=0 and 6x-ky=-16 represent coincident lines? Show Answer

Q8) If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel, then the value of k is Show Answer

Q9) A pair of linear equations which has a unique solution x=2,y=-3 is: Show Answer

Q10) Aruna has only rs1 and rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is rs 75, then the number of rs 1 and rs 2 coins are, respectively Show Answer

Q11) The fathers age is six times of his son's age. Four years hence, the age of the father will be four times his sons age . The present ages, in years, of the son and the father are, respectively Show Answer

Q12) If x=a,y=b is the solution of the equations x-y=2 and x+y=4, then the values of a and b are, respectively Show Answer

Q13) The larger of the two supplementary angles exceed the smaller by 18 degree , then the angles are: Show Answer

Q14) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A): If the pair of linear equations 3x+y=3 and 6x+ky=8 does not have a solution, then the value of k=2.
Reason(R): If the pair of linear equations x+y-4=0 and 2x+ky=3 does not have a solution, then the value of k=2.
Show Answer

Q15) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A): For all real values of c, the pair of equations x-2y=8 and 5x-10y=c have a unique solution.
Reason(R): Two lines are given to be parallel. The equation of one of the lines is 4x+3y=14, 12x+9y=5. Show Answer

Q16) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
`Assertion(A): If the equation 3x-y+8=0 and 6x-ky=-16 represent coincident lines, then the value of k=2.
Reason(R): If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel, then the value of k is15.
Show Answer

Q17) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A): If 4 chairs and 3 tables cost 2100 rs and 5 chairs and 2 tables cost rs 1750, then thecost of 1 chair is rs150.
Reason(R): Sum of the ages of a father and the son is 40 years.If father's age is 3 times that of his son, then the son's age is 12 years. Show Answer

Q18) The pair of linear equation 2x + 3y = 5 and 4x + 6y = 10 is Show Answer

Q19) The pair of equations x = a and y = b graphically represents lines which are Show Answer

Q20) The pair of equations x = 4 and y = 3 graphically represents lines which are Show Answer

Q21) A pair of linear equations which has a unique solution x = 2, y = -3 is Show Answer

Q22) The father's age is six times of his son's age. Four years hence, the age of father will be four times of his son's age. The present ages, in years, of the son and the father are respectively. Show Answer

Q23) If x = a, y = b is the solution of the pair of equation x - y = 2 and x + y = 4, then the respective values of a and b are Show Answer

Q24) The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if Show Answer

Q25) The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference between the two digits of the number ? Show Answer

Q26) Find the marks obtained by Neha in two subjects, if their average is 75 and their product is 5600: Show Answer

Q27) The perimeter of an isosceles triangle is 65 cm and the unequal side is thrice as large as each of the equal sides. The length of the sides are: Show Answer

Q28) In a two-digit number, the sum of the digits is 10 and the square of the tens digit when divided by the cube of the units digit equal to the value of the tens digit. Find the number. Show Answer

Q29) A number consists of 2 digits. The sum of the digits is 12 and the units digit, when divided by the tens digit gives the result as 3. Find the number. Show Answer

Q30) A system of simultaneous linear equations is said to be inconsistent, if it has: Show Answer

Q31) If a pair of linear equations is inconsistent, then the lines will be: Show Answer

Q32) If a pair of linear equations in two variables is consistent then the lines represented by two equations are ....... or ....... Show Answer

Q33) The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is ........... Show Answer

Q34) Form the pair of linear equations in two variables from this situation by taking cost of one notebook as Rs. x and cost of one pen as Rs. y. Show Answer

Q35) The cost of one notebook is: Show Answer

Q36) The cost of one pen is: Show Answer

Q37) The total cost if they will purchase the same type of 15 notebooks and 12 pens is: Show Answer

Q38) Whose estimation is correct in the given statement. Show Answer

Q39) Let the cost of 1 notebook be x and that of pen by y. Which of the following set describe the given sum? Show Answer

Q40) Whether the estimation of Chetan and Manu is applicable for Lokesh? Show Answer

Q41) What is the exact cost of the notebook? Show Answer

Q42) What is the exact cost of the pen? Show Answer

Q43) What is the total cost if they will purchase the same type of 15 notebooks and 12 pens. Show Answer

Q44) Let the number of children visited be x and the number of adults visited be y. Which of the following is the correct system of equations that model the problem? Show Answer

Q45) How many children visited the park? Show Answer

Q46) How many adults visited the park? Show Answer

Q47) How much amount collected if 300 children and 350 adults visited the park? Show Answer

Q48) One day total visited children and adults together is 750 and the total amount collected is Rs. 212500. What are the number of children and adults visited the park? Show Answer

Q49) How many field goals did he make? Show Answer

Q50) How many free throws did he make? Show Answer

Q51) What was the total number of points scored? Show Answer

Q52) If Wilt Chamberlain played 5 games during this season, what was the average number of points per game? Show Answer

Q53) If Wilt Chamberlain played 10 games during this season, what was the average number of points per game? Show Answer

Q54) If the fixed charges of auto rickshaw be Rs. x and the running charges be Rs. y km/hr, the pair of linear equations representing the situation is: Show Answer

Q55) A person travels a distance of 50 km. The amount he has to pay is Show Answer

Q56) What will a person have to pay for travelling a distance of 30 km? Show Answer

Q57) If the fixed charges of auto rickshaw be Rs. x and the running charges be Rs. y km/hr, the pair of linear equations representing the situation is: Show Answer

Q58) One values of x and y: Show Answer

Q59) The graph of lines representing the conditions are: In a city B, for a journey of 8km, the charge paid is Rs. 91 and for journey of 14 km, the charge paid is Rs. 145. Show Answer

Q60) Assuming that the speed of the first car and second car be u km/h and v km/h respectively.
What is the relative speed of both cars while they are travelling in the same direction? Show Answer

Q61) What is the relative speed of both cars while they are travelling towards each other? Show Answer

Q62) What is the actual speed of one car?
Show Answer

Q63) What is the actual speed of other car? Show Answer

Q64) The given problem is based on which mathematical concept Show Answer

Q65) The number of marbles Jivanti had: Show Answer

Q66) The number of marbles John had: Show Answer

Q67) If 45 is replaced by 55 then the number of marbles Jivanti have: Show Answer

Q68) If 45 is replaced by 55 then the no of marbles John have: Show Answer

Q69) The given problem is based on which mathematical concept? Show Answer

Q70) The pair of equations
ax + 2y = 7 and
3x + by =16 represent parallel lines if Show Answer

Q71) The equations ax +by + c = 0 and dx + ey +c = 0 represent the same straight line if Show Answer