BC-Math Welcome to your BC-Math The decimal form of 129/(2^2.5^7.7^5) is: a) terminating b) non-terminating c) non-terminating non-repeating d) none of the above HCF of 8, 9, 25 is (a) 8 (b) 9 (c) 25 (d) 1 Which of the following is not irrational? (a) (2 – √3)2 (b) (√2 + √3)2 (c) (√2 -√3)(√2 + √3) (d)27√7 The product of a rational and irrational number is (a) rational (b) irrational (c) both of above (d) none of above The sum of a rational and irrational number is (a) rational (b) irrational (c) both of above (d) none of above If b = 3, then any integer can be expressed as a = (a) 3q, 3q+ 1, 3q + 2 (b) 3q (c) none of the above (d) 3q+ 1 The product of three consecutive positive integers is divisible by (a) 4 (b) 6 (c) no common factor (d) only 1 The set A = {0,1, 2, 3, 4, …} represents the set of (a) whole numbers (b) integers (c) natural numbers (d) even numbers Which number is divisible by 11? (a) 1516 (b) 1452 (c) 1011 (d) 1121 LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by (a) x (b) y (c) xy (d) x/y The largest number that will divide 398, 436 and 542 leaving remainders 7,11 and 15 respectively is (a) 17 (b) 11 (c) 34 (d) 45 There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students (a) 52 (b) 56 (c) 48 (d) 63 There is a circular path around a sports field. Poonam takes 18 minutes to drive one round of the field. Shiv takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet? (a) 36 minutes (b) 18 minutes (c) 6 minutes (d) They will not meet Express 98 as a product of its primes (a) 2² × 7 (b) 2² × 7² (c) 2 × 7² (d) 23 × 7 For some integer p, every even integer is of the form (a) 2p + 1 (b) 2p (c) p + 1 (d) p For some integer p, every odd integer is of the form (a) 2p + 1 (b) 2p (c) p + 1 (d) p m² – 1 is divisible by 8, if m is (a) an even integer (b) an odd integer (c) a natural number (d) a whole number If two positive integers A and B can be ex-pressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is (a) xy² (b) x4y²z (c) x4y3 (d) x4y3z The product of a non-zero rational and an irrational number is (a) always rational (b) rational or irrational (c) always irrational (d) zero If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is (a) xy² (b) x4y²z (c) x4y3 (d) x4y3z The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is (a) 260 (b) 75 (c) 65 (d) 13 The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is (a) 5 (b) 60 (c) 20 (d) 100 The product of two consecutive natural numbers is always: (a) prime number (b) even number (c) odd number (d) even or odd If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is (a) 5 (b) -5 (c) 4 (d) -4 When a number is divided by 7, its remainder is always: (a) greater than 7 (b) at least 7 (c) less than 7 (d) at most 7 Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are (a) intersecting at one point (b) parallel (c) intersecting at two points (d) coincident The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have (a) a unique solution (b) infinitely many solutions (c) no solution (d) two solutions If a pair of linear equations is consistent, then the lines will be (a) always coincident (b) parallel (c) always intersecting (d) intersecting or coincident One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be (a) 2x + 5y = 6 (b) 3x + 5y = 3 (c) -10x – 25y + 15 = 0 (d) 10x + 25y = 15 If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively (a) 6, -1 (b) 2, 3 (c) 1, 4 (d) 19/5, 6/5 The graph of y = 4x is a line (a) parallel to x-axis (b) parallel to y-axis (c) perpendicular to y-axis (d) passing through the origin The graph of y = 5 is a line parallel to the (a) x-axis (b) y-axis (c) both axis (d) none of these If am bl then the system of equations ax + by = c, lx + my = n, has (a) a unique solution (b) no solution (c) infinitely many solutions (d) none of these If in the equation x + 2y = 10, the value of y is 6, then the value of x will be (a) -2 (b) 2 (c) 4 (d) 5 The graph of the equation 2x + 3y = 5 is a (a) vertical line (b) straight line (c) horizontal line (d) none of these In a square of side 10 cm, its diagonal = … (a) 15 cm (b) 10√2 cm (c) 20 cm (d) 12 cm In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = … (a) 9 cm (b) 14 cm (c) 10 cm (d) 12 cm If in two As ABC and DEF, ABDF=BCFE=CAED, then (a) ∆ABC ~ ∆DEF (b) ∆ABC ~ ∆EDF (c) ∆ABC ~ ∆EFD (d) ∆ABC ~ ∆DFE The total number of events of throwing 10 coins simultaneously is (a) 1024 (b) 512 (c) 100 (d) 10 The total events to throw three dice simultaneously is (a) 6 (b) 18 (c) 81 (d) 216 A girl calculates that the probability of her winning the first prize in a lottery is 8100. If 6,000 tickets are sold, how many tickets has she bought? (a) 400 (b) 750 (c) 480 (d) 240 Time's up