1. The interior angle of an n-sided regular polygon is an integer. If n is an odd number, then how many
values are possible for n?
(a) 3 (b) 5 (c) 14 (d) 6
3. There are five cities in a state and each of them is to be connected to exactly two other cities using
telephone lines. In how many ways can this be done?
(a) 12 (b) 24 (c) 36 (d) 9
4. A positive integer is equal to the square of the number of factors it has. How many such integers are
there?
(a) 1 (b) 2 (c) 3 (d) Infinite
5. In a rectangle ABCD, the diagonals meet at point P. Point E is the midpoint of BC. The line
AE intersects BD at point Q. If the area of the rectangle is 24 sq. units, then what is the area of
triangle APQ (in sq. units)?
(a) 4 (b) 6 (c) 2 (d) 8
11. Prince works in a company where his remuneration for the nth day is Rs. (n2 + 2), where 'n' is the
number of days for which he has worked in the company. He does not spend any money on the first
three days of his job. However, from the 4th day onwards he starts spending Rs. (n + 14) on the nth
day. On which day would he save more than Rs.100 for the first time?
(a) 10th (b) 11th (c) 12th (d) 13th
28. Mr. and Mrs. Choudhari have two sons and a daughter. The daughter is the youngest among the
three children. Mrs. Choudhari is five years younger than Mr. Choudhari. The ages of the children
form an Arithmetic Progression whose common difference is 1. The sum of the ages of the male
members is 92 while that of the female members of the family is 67. What is the sum of the ages of
Mr. and Mrs. Choudhari?
(a) 102 (b) 104 (c) 108 (d) None of these
27. What is the maximum possible sum of the number of Tuesdays and Wednesdays in two consecutive
years?
(a) 209 (b) 210 (c) 208 (d) 212
Directions for questions 58 to 60: Answer the following questions on the basis of the information given
below.
Ten objects A, B, C, D, E, F, G, H, I and J are to be placed in four boxes. Box 1 and Box 2 have at least 3
objects each. Box 3 has at least 2 objects. Box 4 has at least 1 object.
Further information is given below:
1. A and B are in the same box. C and F are in the same box which is neither Box 2 nor Box 3.
2. Among C, D, H and J no two are in the same box.
3. I is in Box 3. None of E, H and J is in Box 3.
58. If A and E are not in the same box and the number of objects in Box 2 and Box 3 are equal, then
which of the following statements cannot be true?
(a) H is in Box 4. (b) E and F are in the same box.
(c) J and B are in the same box. (d) G and D are not in the same box.
59. All the objects from two of the boxes are collected and wrapped as a 'gift'. The 'gift' contains 3
objects, and does not have H. H and G are in the same box. How many of the following statements
must be true?
I. B and E are not in the same box.
II. One of the objects in the 'gift' is D.
III. Box 1 has more objects than Box 2.
(a) 0 (b) 1 (c) 2 (d) 3
60. If the number of objects in Box 3 and Box 4 are found to be equal and E is in Box 1, then how many
of the following statements must be true?
I. C and E are in the same box.
II. A and E are not in the same box.
III. A and H are in the same box.
IV. Exactly one out of C and G is in Box 4.
(a) 1 (b) 2 (c) 3 (d) 4
values are possible for n?
(a) 3 (b) 5 (c) 14 (d) 6
3. There are five cities in a state and each of them is to be connected to exactly two other cities using
telephone lines. In how many ways can this be done?
(a) 12 (b) 24 (c) 36 (d) 9
4. A positive integer is equal to the square of the number of factors it has. How many such integers are
there?
(a) 1 (b) 2 (c) 3 (d) Infinite
5. In a rectangle ABCD, the diagonals meet at point P. Point E is the midpoint of BC. The line
AE intersects BD at point Q. If the area of the rectangle is 24 sq. units, then what is the area of
triangle APQ (in sq. units)?
(a) 4 (b) 6 (c) 2 (d) 8
11. Prince works in a company where his remuneration for the nth day is Rs. (n2 + 2), where 'n' is the
number of days for which he has worked in the company. He does not spend any money on the first
three days of his job. However, from the 4th day onwards he starts spending Rs. (n + 14) on the nth
day. On which day would he save more than Rs.100 for the first time?
(a) 10th (b) 11th (c) 12th (d) 13th
28. Mr. and Mrs. Choudhari have two sons and a daughter. The daughter is the youngest among the
three children. Mrs. Choudhari is five years younger than Mr. Choudhari. The ages of the children
form an Arithmetic Progression whose common difference is 1. The sum of the ages of the male
members is 92 while that of the female members of the family is 67. What is the sum of the ages of
Mr. and Mrs. Choudhari?
(a) 102 (b) 104 (c) 108 (d) None of these
27. What is the maximum possible sum of the number of Tuesdays and Wednesdays in two consecutive
years?
(a) 209 (b) 210 (c) 208 (d) 212
Directions for questions 58 to 60: Answer the following questions on the basis of the information given
below.
Ten objects A, B, C, D, E, F, G, H, I and J are to be placed in four boxes. Box 1 and Box 2 have at least 3
objects each. Box 3 has at least 2 objects. Box 4 has at least 1 object.
Further information is given below:
1. A and B are in the same box. C and F are in the same box which is neither Box 2 nor Box 3.
2. Among C, D, H and J no two are in the same box.
3. I is in Box 3. None of E, H and J is in Box 3.
58. If A and E are not in the same box and the number of objects in Box 2 and Box 3 are equal, then
which of the following statements cannot be true?
(a) H is in Box 4. (b) E and F are in the same box.
(c) J and B are in the same box. (d) G and D are not in the same box.
59. All the objects from two of the boxes are collected and wrapped as a 'gift'. The 'gift' contains 3
objects, and does not have H. H and G are in the same box. How many of the following statements
must be true?
I. B and E are not in the same box.
II. One of the objects in the 'gift' is D.
III. Box 1 has more objects than Box 2.
(a) 0 (b) 1 (c) 2 (d) 3
60. If the number of objects in Box 3 and Box 4 are found to be equal and E is in Box 1, then how many
of the following statements must be true?
I. C and E are in the same box.
II. A and E are not in the same box.
III. A and H are in the same box.
IV. Exactly one out of C and G is in Box 4.
(a) 1 (b) 2 (c) 3 (d) 4
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