1. In a class there are 5 girls and 7 boys. In how many ways can 5 students be chosen such that every time there is exactly one girl?
1) 175 2) 224 3) 256 4) 63 5) None of these
2. A bag contains 7 white, 6 red and 8 green balls. 2 balls are drawn from the box at random. What is the probability that both balls are of the same colour?
3. A person lent a certain sum of money at 5% simple interest and in 10 years the interest amounted to Rs 450 less than the sum lent. What is the sum?
1) Rs 1200 2) Rs 1080 3) Rs 900 4) Rs 1640 5) None of these
4. If the difference between the compound interest and the simple interest on a certain sum of money for 3 years at 10% per annum is Rs 155, what is the sum?
1) Rs 5000 2) Rs 5400 3) Rs 5300 4) Rs 5100 5) None of these
5. What is the number which when multiplied by 7 is increased by 2490?
1) 75 2) 255 3) 305 4) 415 5) None of these
Directions (Q. 6-10): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer
1) if Statement I alone is sufficient to answer the question, while Statement II alone is not sufficient to answer the question.
2) if Statement II alone is sufficient to answer the question, while Statement I alone is not sufficient to answer the question.
3) if data either in Statement I alone or in Statement II alone are sufficient to answer the question.
4) if both the Statements I and II given together are not sufficient to answer the question.
5) if both the Statements I and II together are necessary to answer the question.
6. What is the two-digit number?
I. Sum of two digits of number is 12 and ratio between them is 2 : 1.
II. Product of two digits of number is 32 and quotient of the two digits is 2.
7. What is the two-digit number?
I. Sum of digits is equal to the difference between the digits.
II. Difference between them is 4.
8. What was the ratio of ages of B to C 5 years ago?
I. Ratio of present ages of A to B is 3 : 2.
II. Ratio of present ages of A to C is 4 : 3.
9. What percentage of A’s salary is B’s salary?
I. A’s salary is 50% of C’s salary.
II. B’s salary is 40% of C’s salary.
10. What is the ratio of the number of black and white balls in a bag?
I. Number of black balls is 5 more than the number of white balls.
II. Number of white balls is 80% of the number of black balls.
6. 4; Data given in both statements together are not sufficient to answer the question. As by these data we find two numbers 48 and 84, but we cannot find the exact number.
7. 5; Both the statements are required to answer the question. From statement I:we can say that one digit should be ‘0’. As 20, 30, 40, 50, ....From statement II:Difference is 4. So the number is 40.
8. 4; Data in both the statements together are not sufficient to answer the question