1.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
2.
Find the H.C.F. of 63 and 109.
3.
If 64 > x³, then the greatest possible integer value of x is :
4.
If 243 is the third proportional of a : b, where b : a =9:1, find the values of a and b.
5.
Find the number by which 2−6 be multiplied so that the product is 2?
6.
2a = 4b = 8c = 64. Find a² + b² + c².
7.
Given that a + b + c = 0, find: √( xa . xb . xc )
8.
If x and y are the smallest and the greatest four digit numbers formed by using 1, 5, 0 and 9, then find y – x.
10.
If x% of 2.4 is 18/25, then find x.
11.
Period of the decimal 2.3636363……. is :
12.
Which of the following is a perfect square?
13.
Which of the following yields maximum interest for 300 months?
14.
15 men, working at 8 hours a day, can do two third of a piece of work in 16 days. In how many days can 18 men working at 10 hours a day do ¼ of the same work ?
15.
Find the least natural number which when divided by 6, 7, 9, 12 and 18 leaves no remainders.
16.
ab = ba but b ≠ a, then find a + b.
17.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
18.
( a – 1 ) ( a² + a + 1 ) = ?
19.
If two numbers are equal, then:
20.
The average weight of 30 boys is 57 kg and average weight of 25 girls is 35 kg. Find the average weight of the class.
