SEE (Secondary Education Examination, Nepal) · Mathematics

Arithmetic, Algebra and Sets

30 practice questions, each with the answer and an explanation.

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If $A = {1, 2, 3, 4}$ and $B = {3, 4, 5, 6}$ , what is $A \cap B$ ?
In a class of 40 students, 25 like football, 22 like cricket and 5 like neither game. How many like both?
What is the compound interest on Rs 10,000 at 10 percent per year for 2 years?
What is the difference between the compound interest and the simple interest on Rs 5,000 at 8 percent per year for 2 years?
The population of a town is 20,000 and grows by 5 percent a year. What is it after 2 years?
A town has 50,000 people. Its population rises 10 percent in the first year and then falls 10 percent in the second year. What is it after 2 years?
The marked price of a shirt is Rs 2,000 before VAT. How much does the buyer pay if VAT is 13 percent?
A bag has a marked price of Rs 1,500. A 20 percent discount is given and then 13 percent VAT is added on the discounted price. What does the buyer pay?
If US$ 1 = Rs 130, how many dollars can be bought for Rs 6,500?
Factorise $x^{2} - 9$ .
Solve the equation $x^{2} - 5 x + 6 = 0$ .
If $x + y = 10$ and $x - y = 4$ , what is the value of $x y$ ?
Simplify $\frac{3 ^{5} \times 3 ^{- 2}}{3 ^{2}}$ .
What is the value of $(5 + 3) (5 - 3)$ ?
Divide Rs 1,200 between two people in the ratio 3:2. What does each receive?
The price of an article is first raised by 20 percent and then reduced by 20 percent. What is the net change?
The product of two numbers is 216 and their HCF is 6. What is their LCM?
A father is four times as old as his son. After 10 years he will be twice as old as his son. What is the son's present age?
A can finish a job in 12 days and B can finish it in 6 days. In how many days will they finish it together?
A car travels for 2 hours at 60 km/h and then for 3 hours at 40 km/h. What is its average speed for the whole journey?
If $U = {1, 2, \dots, 10}$ and $A$ is the set of even numbers in $U$ , what is $n (A^{'})$ ?
If $a + b = 7$ and $ab = 10$ , what is $a^{2} + b^{2}$ ?
Factorise $x^{2} + 7 x + 12$ .
Solve $\frac{x}{2} + \frac{x}{3} = 10$ .
An article bought for Rs 800 is sold for Rs 920. What is the profit percent?
If $x + \frac{1}{x} = 3$ , what is the value of $x^{2} + \frac{1}{x ^{2}}$ ?
The simple interest on a sum for 3 years at 6 percent per year is Rs 900. What is the sum?
A student scores 36 out of 60 in a test. What is the percentage score?
Simplify $\frac{x ^{2} - 4}{x ^{2} + 4 x + 4}$ .
At simple interest a sum of money doubles in 5 years. What is the rate per year?

Arithmetic, Algebra and Sets

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