1.
2a = 4b = 8c = 64. Find a² + b² + c².
2.
If 64 > x³, then the greatest possible integer value of x is :
3.
If r³ = 1728, then find r.
4.
B can do three – fourth of a work in 6 days and A can do half of the same work in 4 days. In how many days can both A and B can do the same work?
5.
Number of terms in the expansion (a + b) (c + d) is ——–
7.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
8.
The L.C.M. of two numbers is 525 and the product of two numbers is 2625. Find the H.C.F.
9.
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.
10.
40% of 175 + 175% of 60 =
11.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
12.
The HCF of two numbers is 6 and the product of two numbers is 360. Find the LCM of the numbers.
13.
Which of the following is a perfect square?
14.
Twelve persons can make 480 toys in eight days. How many toys can 21 persons make per day?
15.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
16.
Which of the following is/are perfect squares?
17.
The expanded form of (x + y ) (x – y) is a :——
18.
Simplify 29 x 76 – 71 x 29
19.
A 240 m long train running at 72 km/h crosses another train coming from opposite direction at a speed of 90 km/h in 12 seconds. Find the length of the other train.
20.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?