Question 1Which of the following statements is not correctA. Log1010 = 1B. Log10100 = 2C. Log (2+3) = Log (2×3)D. Log (1+2+3) = Log 1 + Log2 + Log3Objective Show full explanation
Question 2If log 27 = 1.431, then the values of log 9 is A. 0.93B. 0.94C. 0.95D. 0.954 Objective Show full explanation
Question 3If log (a/b) + log (b/a) = log (a + b), then A. a + b = 1B. a - b = 0C. a = 2D. a2 - b2 = 1Objective Show full explanation
Question 5If $(x/y)^{a-1}$ = $(x/y)^{3-a}$ then, the value of a is ?A.2B. 1/2C. 2/7D. -2Objective Show full explanation
Question 6Given that 10043 = X, 100.71 = y and xz = y2 then the value of z is close to A.3.7B. 1.8C. 1.4D. 2.9Objective Show full explanation
Question 7If 5a = 3125, then the value of 5(a-3) is ?A. 162B. 62C. 12D. 25Objective Show full explanation
Question 8The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest childA.4B.8C. 10D. 12Objective Show full explanation
Question 10A is two years older than B who is twice as old as C. If the total of the ages of A,B and C be 27, then how old is B A. 10B. 13C. 7D. 8Objective Show full explanation
Question 11From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee, in how many ways can it be done?A. 76B. 56C. 756D. 1025Objective Show full explanation
Question 12In how many different ways can the letters of the word READING be arranged in such a way that the vowels always come together?A. 36B. 48C. 720D. 5040Objective Show full explanation
Question 13Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5? A. 9/20B. 10/20C. 4/20D. 8/15Objective Show full explanation
Question 14What is the probability of getting a sum 9 from two throws of a dice? A. 1/6B. 1/9C. 1/8D. 8/15Objective Show full explanation
Question 15The common ratio of a GP is 2 If the fifth term is greater than the first term by 45, find the fifth termA. 4B. 3C. 1D. 42Objective Show full explanation
Question 16Express 0.00379 in standard form A. 3.79 × 10-3B. 3.79 × 10-2C. 0.379 × 10-2D. 3.79 × 103Objective Show full explanation
Question 17If the distance between the points (x,3) and (-x,2) is 5 Find x A. 6.0B. √6C. 3D. 2.5Objective Show full explanation
Question 18Factorize 3a2 - 7a - 6A. (3a - 2)(a - 3B. (2a -2 )(a - 3C. (3a - 2)(a + 3D. (3a+2)(a - 3)Objective Show full explanation
Question 19The four interior angles of a quadrilateral are (x+20)°, (x+10)°, (2x-45)° and (x-25)°. Find the value of x A. 36B. 12C. 10D. 80 Objective Show full explanation
Question 20If A = {c, e, f} and B = {d, e, f} then A ⋂ B equals A. {c, dB. {a, b, c, dC. ∅D. {e, f}Objective Show full explanation
Question 21Which of the following is not a quadratic expression?A. y = 5(x + 11)B. y = x(x + 11)C. y = x2 - 1D. y = 2x2 - 5xObjective Show full explanation
Question 22If 2x2 + kx - 14 = (x+2)(2x-7), find the value of k A.5B. -3C. 3D.-5 Objective Show full explanation
Question 23Find the radius of a circle in which an arc of length 44cm subtends an angle of 200° (Take π = 22/7)A. 13.4cmB. 12.6cmC. 16.2cmD. 14.3cmObjective Show full explanation
Question 24Which of the following equations has its roots as -2 and 5 A. x2 + 3x - 10 = 0B. x2 - x + 10 = 0C. x2 + x - 10 = 0D. x2 - 3x - 10 = 0Objective Show full explanation
Question 25Evaluate (0.114) correct to two significant figuresA. 0. 000151B. 0.00015C. 0.00014D. 0.000151Objective Show full explanation