Mathematical Statements

Q.

Express 2.4178 in p/q form

Q.

All prime numbers are odd. State true or false.

1. True

2. False

Q.

find the missing term

5, 9, 16, 29, 54, 103, (.......)

Q.

In a party there are 6 guests and if each other shake hand each other, how many shake hands occur in the party?

Thank you..

Q.

Complete the word chain of adjectives. Honest, t....., d......, s......, e...…

Q. If $n$ is any natural number, then $9^n-5^n$ may end with ___________.

1. 3
2. 6
3. 5
4. 8

Q.

Find the odd one out in the given options:

1. $145$

2. $197$

3. $325$

4. $399$

Q.

Which of the following statement are true and which are false?

Give reason for your answer.

1. Only one line can pass through a single point.

2. There are an infinite number of lines which pass through two distinct points.

3. A terminated line can be produced indefinitely on both the sides.

4. If two circles are equal, then the radii are equal.

5. In figure, if AB = PQ and PQ = XY, then AB = XY

Q.

What is the Abstract noun of inform?

Q.

There are infinite number of lines which pass through two distinct points. True or False?

1. False

2. True

Q.

Answer the following questions in a few words or a couple of sentences each. (i) How old was Evelyn when she went to the Royal Academy of Music? (ii) When was her deafness first noticed? When was it confirmed?

Q.

Find S=set of all leap years. Between 1882 and 1906

Q.

The Pythagorean theorem describes the relationship between three sides of a

1. Scalene triangle

2. Acute triangle

3. Obtuse triangle

4. Right triangle

Q.

Rearrange the Words To Make Meaningful Sentence: Saves Us / Turns Away / Soft Answer / Anger and/A/a Pitfall / From Many.

Q. Minimum number of points required to draw a straight line is ______

1. one
2. two
3. three
4. four

Q. Statement 'There are 366 days in a leap year' is

1. always true
2. cannot be proved
3. always false
4. ambiguous

Q.

In how many ways can $mn$ letters be posted in $n$ letter boxes?

1. ${\left(mn\right)}^n$

2. $m^{mn}$

3. $n^{mn}$

4. None of these

Q.

How many hours does a leap year have?

Q.

Choose the abstract noun of the given word from the alternatives given below: know.

1. Known

2. Knowledge

3. Knowing

4. None of these

Q.

In a class test (+ 3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
(ii) Mohini scores − 5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly? [3 MARKS]

Q. Statement 'Sum of all interior angles of the triangle is 360°' is

1. always true
2. cannot be proved
3. always false
4. ambiguous

Q.

Which one of the following is not a factor of $x^3$+ 2$x^2$ + x?

1. x + 2

2. x + 1

3. x

4. x (x + 1)

Q. Statement 'There are 365 days in a year' is

1. always true
2. always false
3. ambiguous
4. postulate

Q.

According to Euclids definition, the ends of a line are

1. breadthless

2. points

3. lengthless

4. None of these

Q.

If $E_1,E_2,E_3\dots E_n$ are n events of a sample space S and if $E_1\cup E_2\cup E_3\cup \dots E_n=S$, then $E_1,E_2\dots E_n$ are called mutually exclusive and exhaustive events.

1. False

2. True

Q. Find the ratio compounded of the duplicate ratio 2:3 the reciprocal ratio 16:21 and the sub duplicate ratio of 49:64

Q. Prime numbers with more than 1000 digits are called _______ primes

Q.

Express the following as the sum of two odd primes: $24$

Q.

Choose the sentence that is written correctly.

1. Carol has a piano lesson tomorrow.

2. Carol have a piano lesson tomorrow.

3. Carol haves a piano lesson tomorrow.

Q. Rim and SIM have the same weights. If each of them gains weight by 3kg then how will their new weights be compared ?