Sequences and Series Test 13

Question 1
1 / -0

Which of the following is $$GP?$$

A
$$2, 4, 8, 16$$

B
$$2, -2, 2, 3, 1$$

C
$$0, 3, 6, 9, 12$$

D
$$10, 20, 30, 40$$

Question 2
1 / -0

The common ratio is calculated in

A
A.P.

B
G.P.

C
H.P.

D
I.P.

Question 3
1 / -0

The area of the triangle formed by three vertices $$O(0, 0), A(1, 0), B(0, 1)$$ is _____ sq. units.

A
$$0$$

B
$$\dfrac{1}{2}$$

C
$$1$$

D
$$2$$

Question 4
1 / -0

A garrison of '$$n$$' men had enough food to last for $$30$$ days. After $$10$$ days, $$50$$ more men joined them. If the food now lasted for $$16$$ days, what is the value of $$n$$?

A
$$200$$

B
$$240$$

C
$$280$$

D
$$320$$

Question 5
1 / -0

The sum of two numbers is $$80$$. If the larger number exceeds four times the smaller by $$5$$, what is the smaller number?

A
$$5$$

B
$$15$$

C
$$20$$

D
$$25$$

Question 6
1 / -0

A man has 9 friends, 4 boys and 5 girls. In how many ways can be invite them, if there have to be exactly three girls in the invites?

A
$$320$$

B
$$160$$

C
$$80$$

D
$$200$$

Question 7
1 / -0

Complete the addition square by finding the missing numbers.
Find $$(A-B)-(C-D)$$
$$+$$ $$10,923$$ $$8,473$$
$$18,732$$ $$A$$ $$B$$
$$9,018$$ $$C$$ $$D$$

A
$$0$$

B
$$450$$

C
$$1000$$

D
$$300$$

Question 8
1 / -0

The models are shaded to show which of the following?

A
$$\cfrac { 1 }{ 3 } =\cfrac { 2 }{ 4 } $$

B
$$\cfrac { 1 }{ 4 } >\cfrac { 1 }{ 3 } $$

C
$$\cfrac { 2 }{ 3 } <\cfrac { 2 }{ 4 } $$

D
$$\cfrac { 2 }{ 4 } <\cfrac { 2 }{ 3 } $$

Question 9
1 / -0

Fathom is a unit once used by sailors to measure the depth of water. If a sunken ship was located underwater at $$240$$ feet, which expression would describe the location of the ship in fathoms?
$$ { 1\ fathom=6\ feet } $$

A
$$240\times 6$$

B
$$240\div 6$$

C
$$240-6$$

D
$$240+6$$

Question 10
1 / -0

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices given below. The columns and rows of Matrix I are numbered from $$0$$ to $$4$$ and that of Matrix $$I$$ are numbered from $$5$$ to $$9$$. A letter from these matrices can be represented first by its row and next by its column, e.g. $$'A'$$ can be represented by $$00, 12, 23$$ etc., and $$'P'$$ can be represented by $$58, 69, 75$$ etc. Similarly, you have to identify the set for the word 'POET'.
Matrix I
$$0$$ $$1$$ $$2$$ $$3$$ $$4$$
$$0$$ $$A$$ $$R$$ $$S$$ $$N$$ $$C$$
$$1$$ $$N$$ $$C$$ $$A$$ $$R$$ $$S$$
$$2$$ $$S$$ $$N$$ $$C$$ $$A$$ $$R$$
$$3$$ $$R$$ $$S$$ $$N$$ $$C$$ $$A$$
$$4$$ $$C$$ $$A$$ $$R$$ $$S$$ $$N$$
Matrix II
$$5$$ $$6$$ $$7$$ $$8$$ $$9$$
$$5$$ $$O$$ $$E$$ $$L$$ $$P$$ $$T$$
$$6$$ $$T$$ $$O$$ $$E$$ $$L$$ $$P$$
$$7$$ $$P$$ $$T$$ $$O$$ $$E$$ $$L$$
$$8$$ $$L$$ $$P$$ $$T$$ $$O$$ $$E$$
$$9$$ $$E$$ $$L$$ $$P$$ $$T$$ $$O$$

A
$$69, 88, 67, 65$$

B
$$75, 56, 65, 67$$

C
$$77, 88, 98, 78$$

D
$$75, 66, 76, 78$$

Submit Test

$$+$$	$$10,923$$	$$8,473$$
$$18,732$$	$$A$$	$$B$$
$$9,018$$	$$C$$	$$D$$

		Matrix I
	$$0$$	$$1$$	$$2$$	$$3$$	$$4$$
$$0$$	$$A$$	$$R$$	$$S$$	$$N$$	$$C$$
$$1$$	$$N$$	$$C$$	$$A$$	$$R$$	$$S$$
$$2$$	$$S$$	$$N$$	$$C$$	$$A$$	$$R$$
$$3$$	$$R$$	$$S$$	$$N$$	$$C$$	$$A$$
$$4$$	$$C$$	$$A$$	$$R$$	$$S$$	$$N$$

		Matrix II
	$$5$$	$$6$$	$$7$$	$$8$$	$$9$$
$$5$$	$$O$$	$$E$$	$$L$$	$$P$$	$$T$$
$$6$$	$$T$$	$$O$$	$$E$$	$$L$$	$$P$$
$$7$$	$$P$$	$$T$$	$$O$$	$$E$$	$$L$$
$$8$$	$$L$$	$$P$$	$$T$$	$$O$$	$$E$$
$$9$$	$$E$$	$$L$$	$$P$$	$$T$$	$$O$$

Sequences and S...

Question 1

$$2, 4, 8, 16$$

$$2, -2, 2, 3, 1$$

$$0, 3, 6, 9, 12$$

$$10, 20, 30, 40$$

Question 2

A.P.

G.P.

H.P.

I.P.

Question 3

$$0$$

$$\dfrac{1}{2}$$

$$1$$

$$2$$

Question 4

$$200$$

$$240$$

$$280$$

$$320$$

Question 5

$$5$$

$$15$$

$$20$$

$$25$$

Question 6

$$320$$

$$160$$

$$80$$

$$200$$

Question 7

$$0$$

$$450$$

$$1000$$

$$300$$

Question 8

$$\cfrac { 1 }{ 3 } =\cfrac { 2 }{ 4 } $$

$$\cfrac { 1 }{ 4 } >\cfrac { 1 }{ 3 } $$

$$\cfrac { 2 }{ 3 } <\cfrac { 2 }{ 4 } $$

$$\cfrac { 2 }{ 4 } <\cfrac { 2 }{ 3 } $$

Question 9

$$240\times 6$$

$$240\div 6$$

$$240-6$$

$$240+6$$

Question 10

$$69, 88, 67, 65$$

$$75, 56, 65, 67$$

$$77, 88, 98, 78$$

$$75, 66, 76, 78$$

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