Q.37·Miscellaneous·2025·EasyThe mode of the set {5, 8, 8, 10, 11, 11, 11, 12, 13, 14, 15} is: What is the mode of the given set?View question
Q.38·Miscellaneous·2025·EasyConsider the following for the two [02] items that follow : Let ABC be a triangle right-angled at B and AB + AC = 3 units. What is the maximum area of the triangle ?View question
Q.39·Miscellaneous·2025·EasyABC is an equilateral triangle and AD is the altitude on BC. If coordinates of A are (1, 2) and D are (-2, 6), then what is the equation of BC?View question
Q.40·Miscellaneous·2025·EasyThe standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?View question
Q.41·Miscellaneous·2025·EasyThe probability of a man hitting a target is 1/5. If the man fires 7 times, then what is the probability that he hits the target at least twice?View question
Q.42·Miscellaneous·2025·EasyLet X be a random variable following binomial distribution whose mean and variance are 200 and 160 respectively. What is the value of the number of trials (n)?View question
Q.43·Miscellaneous·2025·EasyConsider the following for the two (02) items that follow: In a triangle ABC, two sides BC and CA are in the ratio 2:1 and their opposite corresponding angles are in the ratio 3:1. One of the angles of the triangle isView question
Q.44·Miscellaneous·2025·EasyThe vertices of a triangle are A(1, 1), B(0, 0) and C(2, 0). The angular bisectors of the triangle meet at P. What are the coordinates of P?View question
Q.45·Miscellaneous·2025·EasyConsider the following for the two (02) items that follow: In a triangle ABC, two sides BC and CA are in the ratio 2:1 and their opposite corresponding angles are in the ratio 3:1. Consider the following statements: I. The triangle is right-angled. II. One of the sides of the triangle is 3 times the other. III. The angles A, C and B of the triangle are in AP. Which of the statements given above is/are correct ?View question
Q.46·Miscellaneous·2025·EasyA man at M, standing 100 m away from the base (P) of a chimney of height 50 m, observes the angle of elevation of the highest point (Q) of the smoke to be 45°.The highest point of the chimney is at R. Further, P, R and Q are in a straight line and the straight line is perpendicular to PM. What is the angle RMQ equal to ?View question
Q.49·Miscellaneous·2025·EasyIf number of selections of r and (n + r) from 5n things are equal, what is r?View question
Q.50·Miscellaneous·2025·EasyIn how many ways can the letters of "DELHI" be arranged keeping vowel/consonant positions unchanged?View question
Q.53·Miscellaneous·2025·EasyConsider the following statements in respect of the determinant: Δ = I. Δ is positive if k > 0 II. Δ is negative if k < 0 III. Δ is zero if k = 0 How many of the statements above are correct?View question
Q.54·Miscellaneous·2025·EasyIf 5th, 7th and 13th terms of an AP are in GP, then what is the ratio of its first term to its common difference?View question