Prelims

In a class there are 18 boys who are over 160 cm tall. If these boys constitute three-fourths of the boys and the total number of boys is two-third of the number of students in the class, then what is the number of girls in the class?

A rectangular piece of iron sheet measuring 50 cm by 100 cm is rolled into a cylinder of height 50 cm. If the cost of painting the cylinder is Rs. 50 per square metre, then what will be the cost of painting the outer surface of the cylinder ?

A, B, C, D, E and F, not necessarily in that order, are sitting in six chairs regularly placed around a round table. It is observed that A is between D and F. C is opposite D. D and E are not on neighbouring chairs. Which one of the following must be true?

In a certain code, MARCH is written as OCTEJ, how is RETURN written in that code ?

The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in at least two subjects ?

Examine the following relationships among members of a family of six persons A, B, C, D, E and F. I. The number of males equals that of females. II. A and E are sons of F. III. D is the mother of two, one boy and one girl. IV. B is the son of A. V. There is only one married couple in the family at present. Which one of the following inferences can be drawn from the above ?

Consider the following pictures of a dice : What is the number opposite of 3 ?

The monthly income of Komal and Asha are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both save Rs. 600 per month. What is their total monthly income ?

In the given figure, all line segments of the shaded portion are of the same length and at right angles to each other. The same can be cut out of a board of side 10 cm. What is the area of the shaded portion ?

If X = -2, then X^3 – X^2 – X – 1 is equal to