Q.9199·Miscellaneous·2016·EasyThe sixth term of an AP is 2 and its common difference is greater than 1. What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest ?View question
Q.9200·Miscellaneous·2016·EasyLet ax³ + bx² + cx + d = 0 for x = (x+1, 2x, 3x, …). Then What is the value of c ?View question
Q.9201·Miscellaneous·2016·EasyFor the data 3, 5, 1, 6, 5, 9, 5, 2, 8, 6 the mean, median and mode are x, y and z respectively. Which one of the following is correct?View question
Q.9202·Miscellaneous·2016·EasyConsider the following statements : 1. There exists θ ∈ (−π/2, π/2) for which tan⁻¹(tan θ) ≠ θ. 2. sin⁻¹(1/3) − sin⁻¹(1/5) = sin⁻¹ ( 2√2(√3 − 1) / 15 ) Which of the above statements is/are correct?View question
Q.9203·Miscellaneous·2016·EasyWhat is the number of different messages that can be represented by three 0's and two 1's?View question
Q.9204·Miscellaneous·2016·EasyThe system of linear equations kx + y + z = 1, x + ky + z = 1 and x + y + kz = 1 has a unique solution under which one of the following conditions?View question
Q.9205·Miscellaneous·2016·EasyWhich of the following determinants have value zero? 1. | 4 1 1 | | 7 9 7 | | 2 9 5 | 2. | 1 a b+c | | 1 b c+a | | 1 c a+b | 3. | 0 c b | | -c 0 a | | -b -a 0 | Select the correct answer using the code given below.View question
Q.9206·Miscellaneous·2016·EasyConsider the following in respect of the matrix A = (-1 1; 1 1) 1. A² = -A 2. A³ = 4A Which of the above is/are correct?View question
Q.9207·Miscellaneous·2016·EasyWhat is the area of the parallelogram having diagonals 3i + j - 2k and i - 3j + 4k?View question
Q.9208·Miscellaneous·2016·EasyIf a, b and c are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then which one of the following is correct?View question
Q.9209·Miscellaneous·2016·EasyWhat is the number of four-digit decimal numbers (<1) in which no digit is repeated?View question
Q.9210·Miscellaneous·2016·EasyWhat is the number of ways in which 3 holiday travel tickets are to be given to 10 employees of an organization, if each employee is eligible for any one or more of the tickets?View question
Q.9211·Miscellaneous·2016·EasyA fair coin is tossed 100 times. What is the probability of getting tails an odd number of times?View question
Q.9212·Miscellaneous·2016·EasyConsider the following statements in respect of a histogram: 1. The total area of the rectangles in a histogram is equal to the total area bounded by the corresponding frequency polygon and the x-axis. 2. When class intervals are unequal in a frequency distribution, the area of the rectangle is proportional to the frequency. Which of the above statements is/are correct?View question
Q.9213·Miscellaneous·2016·EasyConsider a circle passing through the origin and the points (a, b) and (−b, −a). What is the sum of the squares of the intercepts cut off by the circle on the axes?View question
Q.9214·Miscellaneous·2016·EasyA point is chosen at random inside a rectangle measuring 6 inches by 5 inches. What is the probability that the randomly selected point is at least one inch from the edge of the rectangle?View question
Q.9215·Miscellaneous·2016·EasyWhat is the probability of 5 Sundays in the month of December?View question
Q.9216·Miscellaneous·2016·EasyA certain type of missile hits the target with probability p = 0.3. What is the least number of missiles should be fired so that there is at least an 80% probability that the target is hit?View question