Practice Test

Q1) 8 is the solution of the equation Show Answer

Q2) If the diagonal of a rectangle is 5 cm and one of its sides is 4 cm, then its area is Show Answer

Q3) Divide 56 into two parts such that three times the first part exceeds one-third of the second by 48. Then the two parts are Show Answer

Q4) The sum of the digits of a two digit number is 10. If 18 be subtracted from it, the digit in the resulting number will be equal. Then the number is Show Answer

Q5) The product of two numbers is 3200 and the quotient, when the larger number is divided by the samller is 2. Then the two numbers are Show Answer

Q6) The denominator of a fraction exceeds the numerator by 2. If 5 be added to the numerator, the fraction increases by unity. Then the fraction is Show Answer

Q7) Three person A, B and C together have Rs. 51. If B has four-fifth of the money than A has, and C has three-fourth of the money than A has, then they have money as Show Answer

Q8) A positive number consists of two digits. The digit in the ten's place is three times the digit in the unit's place. If 54 are subtracted from the number, the digits are reversed. Then the numbers is Show Answer

Q9) Hemant is asked to divide one half of a given number by 6 and the other half by 4 and then add the two quantities. Instead, he divides the number by 5. If his number is 4 short of the correct (actual) answer, then the given number is Show Answer

Q10) Ten years ago, the age of a father was four times the age of his son. Ten years hence, the age of the father will be twice that of his son. The present ages of the father and the son are Show Answer

Q11) Which one of the following equalities is an equation ? Show Answer

Q12) Which one of the following equalities is an identity ? Show Answer

Q13) The equation x-7-9x=4x-3-8x is true for Show Answer

Q14) what is the number of the solution of the equation 3x+1=(4x-3)-( x-5) ? Show Answer

Q15) Mary is 24. Ann was half the age Mary is when Mary was the age Ann is now. How old is Ann ? Show Answer

Q16) A man's wife is 6 years younger than her husband. One day he said to her " did you know, my dear , that we have been happily married for 22 years now and , since our marriage , the sum of our ages had exactly doubled ? " how old were the man and his wife when they were married ? Show Answer

Q17) Divide the number 850 into two parts such that 8% of the first added to 24% of the second is 12% of the whole. Then the two parts are Show Answer

Q18) The sum of the digits of a two-digit number is 12. If the digits are interchanged, the number increases by 75%. The given numbers is Show Answer

Q19) Monthly income of two persons are in the ratio 4:5, and their monthly expenses are in the ratio 7:9. If each saves Rs.50 per month, then their respective monthly incomes are rupees Show Answer

Q20) The age of a person is twice the sum of the ages of his two sons. If, five years ago, his age was thrice the sum of their ages at that time, then his present age is Show Answer

Q21) A two digit number is four times the sum of its digits. If 27 be added to the number, its digit get reversed. Then the given number is Show Answer

Q22) If x-y=2 and 3x-2y=9, then : x+y = Show Answer

Q23) If 2x+y=11 and 3x-y=9, then : x-y = Show Answer

Q24) If 15x+23y= -10 and 3x+4y= -2, then 3x+2y+2= Show Answer

Q25) If 4x+3y+4= 0 and 6x+5y+7=0, then : 2x+y = Show Answer

Q26) If 3(x-2) -2(y+3) = 1 and 2(x-3)+3 ( y+2)=0, then: x-y = Show Answer

Q27) If 3(x-4) -4(y+3)=1 and 5(y+3) -4(x-4)=0, then : x-y = Show Answer

Q28) If 3x-y=0 and -x+y=0, then : (x,y) = Show Answer

Q29) If 0.x+y=0 and 0.x-0.y=0 then Show Answer

Q30) If 5x+4y=27 and 4x+5y=18, then the values of (x+y) and (x-y) are respectively Show Answer

Q31) If 4x+3y=24 and 3x+4y=25, then the values of (x-y) and (x+y) are respectively Show Answer

Q32) If x+y=3, y+z=2 and z+x=1, then x+2y+3z= Show Answer

Q33) 5% of one number and 4% of the other together amount to 16. If 6% of the first number and 8% of the second add up to 24, then these number are respectively. Show Answer

Q34) If one root of the equation x(x-6)=3k(1-x) is negative of the other, then: k = Show Answer

Q35) If the sum of roots of a quadratic equation is 5, and the sum of their square is 27, then the equation is Show Answer

Q36) If the sum of the two number is 8 and the sum of their square is 34, then the numbers are Show Answer

Q37) If the sum of roots of quadratic equation is 3, and the sum of their cubes is 7, then the equation is Show Answer

Q38) Two squares have sides p cm and (p+5)cm. If the sum of their areas is 625 sq.cm, then their sides are Show Answer

Q39) The area of a rectangular field is 2000 sq.m and its perimeter is 180 m. the length and breadth of this field are respectively Show Answer

Q40) The hypotenuse of a right-angled triangle is 20 cm. if the difference between its other two sides is 4 cm, then they are Show Answer

Q41) The three sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively. if the triangle so formed is right-angled, then the sides of the equilateral triangle is Show Answer

Q42) The sum of two distinct irrational numbers multiplied by the larger one is 70. if their difference multiplied by the smaller one is 12, then the two numbers are Show Answer

Q43) x, x-4 and x+5 are factors of the left-hand side of the equation Show Answer

Q44) Co-ordinates of points on x-axis which are at a distance of 10 units from the point (3,-6) are Show Answer

Q45) Co-ordinates of points on y-axis which are at a distance of 13 units from the point (5, 4) are Show Answer

Q46) If the distance between the point (na, nb) and (a,b) is 4 times the distance between the points (5a,5b) and (a,b), then : n= Show Answer

Q47) The four points (0,-1), (-2,3) (6,7) and (8,3) form a quadrilateral which is a Show Answer

Q48) If the points (-3, 4), (-14, 12) and (8, k) are collinear then : k = Show Answer

Q49) If the triangle whose vertices are A (4, 3), B(6, -2) and C (k, -3) is right-angled at a, then : k= Show Answer

Q50) If a line makes equal intercepts on the x- and y- axis, then its slope is Show Answer

Q51) If a line has x-intercept a and y-intercept b, then its slope is Show Answer

Q52) The equation of the line joining the point (3, 5) to the point of intersection of the lines 4x+y-1=0 and 7x-3y-35=0 is Show Answer

Q53) The total cost curve of the number of copies of a particular photograph is linear. If the total costs of 5 and 8 copies of the photograph are Rs.80 and Rs.116 respectively, then the total cost of 10 copies of the same photograph will be Show Answer

Q54) A survey shows that there is a linear relation between the population of a country and time. In the year 1980, population was 84 crores and in the year 1990 it was 93 crores. Then the population in the year 2008 would be Show Answer

Q55) The point of intersection of the lines 3x+2y=6 and 3x-y=12 lies in Show Answer

Q56) The distance from the origin to the point of intersection of the lines 3x-2y=6 and 3x+2y=18 is Show Answer

Q57) A right angled triangle is formed by the line 4x+3y=12 with the co-ordinate axes. The length of the perpendicular from the origin to the hypotenuse is Show Answer

Q58) The equation of the line passing through the point of intersection of the lines 2x+3y-5=0 and 7x-5y-2=0, and parallel to the line 2x-3y+14=0 is Show Answer

Q59) The x-and y- intercepts of the line 4x+5y+9=0 are respectively Show Answer

Q60) The equation of the line which passes through the point (4, 1) and whose x-intercept is double its y-intercept is Show Answer

Q61) If a line passing through the point (1, 2) makes equal intercepts on the X- and Y- axis, then each intercept is Show Answer

Q62) If (2, 3) is the mid-point of the portion of a line intercepted between the co-ordinate axes, then the x- and y- intercepts of the line are respectively Show Answer

Q63) The equation of the line having y-intercept = -7, and parallel to the line joining the points (2, 3) and (-3, 7), is Show Answer

Q64) If the line Kx+4y=6 passes through the point of intersection of the lines 3x+4y=5 and 2x+3y=4 , then : K= Show Answer

Q65) If a line passing through the point of intersection of the lines 3x-y+11=0 and 2x-y+9=0 , makes equal intercepts on the co-ordinate axes, then its equation is Show Answer

Q66) The equation of the line whose x- and y-intercepts are respectively twice and thrice of those of the line 3x+4y=12 is Show Answer

Q67) If the three line 2x-3y+K=0, 3x-4y-13=0 and 8x-11y-33=0 are concurrent, then : K= Show Answer

Q68) A line passes through the point (2, 2) and is perpendicular to the line 3x+y=3. Its y-intercept is Show Answer

Q69) The cost of a bus ticket depends linearly on the distance travelled. A journey of 2 miles costs 40 paise while a journey of 6 miles costs 60 paise. Then, a journey of x miles will cost y rupees, where Show Answer

Q70) The cost of manufacturing 10 typewriters is Rs.350 while it costs Rs.600 to produce 20 typewriters. Assuming a linear cost model, the total cost y rupees of producing x typewriters is Show Answer

Q71) It is known that 30 % of the population was educated in the year 1963; and 55 % in 1983. if the educated population depends linearly upon the year, then the estimated educated population in the year 2003 is Show Answer

Q72) The life expectancy of males in 1987 in a country is 70 years. In 1962 it was 60 years. Assuming the life expectancy to be a linear function of time, the life expectancy of males in that country in the year 1997 is Show Answer