1. In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?
(a) 45 boys (b) 48 boys
(c) 40 boys (d) 42 boys
2. While preparing for a management entrance examination, Romit attempted to solve three papers, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English by 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
(a) 40 (b) 10
(c) 20 (d) 30
3. 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?
(a) 25 years (b) 26 years
(c) 27 years (d) cannot be determined
4. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.
(a) 19 (b) 17
(c) 13 (d) None of the above
5. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
(a) iv, iii, ii, i (b) iv, ii, iii, i
(c) iv, iii, i, ii (d) None of the above
Answers
1 (d); 2 (c); 3 (b); 4 (b); 5 (a)
(a) 45 boys (b) 48 boys
(c) 40 boys (d) 42 boys
2. While preparing for a management entrance examination, Romit attempted to solve three papers, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English by 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
(a) 40 (b) 10
(c) 20 (d) 30
3. 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?
(a) 25 years (b) 26 years
(c) 27 years (d) cannot be determined
4. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.
(a) 19 (b) 17
(c) 13 (d) None of the above
5. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
(a) iv, iii, ii, i (b) iv, ii, iii, i
(c) iv, iii, i, ii (d) None of the above
Answers
1 (d); 2 (c); 3 (b); 4 (b); 5 (a)
