0 votes
0 answers
2484
0 votes
0 answers
2485
0 votes
0 answers
2486
0 votes
0 answers
2488
0 votes
0 answers
2501
0 votes
0 answers
2503
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes hav...
1 votes
1 answer
2508
1 votes
1 answer
2509
From a circular sheet of paper with a radius $20\:\text{cm}$, four circles of radius $5\:\text{cm}$ each are cut out. What is the ratio of the uncut to the cut portion?$1...
1 votes
1 answer
2510
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of $\angle \text{DEC}?$$15^{\circ}$$30^{\circ}$$20^{\circ}$$45^{\circ}$
1 votes
1 answer
2511
1 votes
1 answer
2513
If $n$ is any odd number greater than $1$, then $n(n^2 – 1)$ isdivisible by $96$ alwaysdivisible by $48$ alwaysdivisible by $24$ alwaysNone of these
1 votes
1 answer
2514
The figure shows a circle of diameter $\text{AB}$ and radius $6.5$ cm.If chord $\text{CA}$ is $5$ cm long, find the area of $\triangle \text{ABC}$ __________
1 votes
1 answer
2515
In $\triangle \text{ABC},\:\angle \text{B}$ is a right angle, $\text{AC} = 6$ cm, and $\text{D}$ is the mid-point of $\text{AC}$. The length of $\text{BD}$ is ___________...
0 votes
0 answers
2518
If $a_1=1$ and $a_{n+1}-3a_n+2=4n$ for every positive integer $n$, then $a_{100}$ equals$3^{99}-200$$3^{99}+200$$3^{100}-200$$3^{100}+200$
1 votes
1 answer
2519
In a locality, two-thirds of the people have cable TV, one- fifth have VCR, and one-tenth have both. What is the fraction of people having either cable -TV or VCR?$19/30$...
1 votes
1 answer
2520
Given the quadratic equation $x^2 – (\text{A} – 3)x – (\text{A} – 2)$, for what value of $\text{A}$ will the sum of the squares of the roots be zero?$-2$$3$$6$$\t...