Sequences and Series Test 9

Result

Sequences and Series Test 9

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Weekly Quiz Competition

Question 1
1 / -0

If CAT is $$48$$, Z is $$52$$ Then what is TEA equal to ?

A
$$48$$

B
$$52$$

C
$$60$$

D
$$50$$

Solution

Alphanumeric coding type
Word Code value Final code
(alphabet series)
CAT C=3,A=1,T=20 24X2=48
3+1+20=24
Z 26 24X2=52
TEA T=20,E=5,A=1 26X2=52
20+5+1=26
Question 2
1 / -0

I think of a decimal number. After I have subtracted 2.9 from it, then multiplied by 3 and then added 0.15, I get 10.5. What is the decimal number?

A
4.5

B
15.66

C
20.10

D
6.35

Solution

Let the decimal number be x.
$$3(x-2.9)+0.15=10.5$$
$$3x-8.7+0.15=10.5$$
$$3x-8.7=10.35$$
$$3x=19.05$$
$$x=6.35$$.
Question 3
1 / -0

I thought of a decimal number. After I had multiplied it by 2, then added 1.5 and then divided by 3, I got 3.5. What was the decimal number?

A
7.1

B
5.6

C
5.8

D
4.5

Solution

Let the decimal number be $$x.$$
$$\dfrac{x\times 2+1.5}{3}=3.5$$
$$2x+1.5=3.5\times 3$$
$$2x+1.5=10.5$$
$$2x=9$$
$$x=\dfrac{9}{2}$$
$$x=4.5$$
Hence, correct option is D.
Question 4
1 / -0

Answer the following set of questions by reading the above pitctograph. Number of TV sets sold in the year 2005 is

A
$$1000$$

B
$$500$$

C
$$50$$

D
$$2000$$

Solution

In the given pictogram the year 2005 depicts only one television figure.
When each television figure represents 500 TV sets, number of TV sets sold in the year 2005 is 500.
So, option B is the correct answer.
Question 5
1 / -0

A, B, C and D are four 4-digit numbers each having the digit 9 only once and in the place shown None of the other digits are known
What can be said about A, B, C and D?

A
D is the smallest of the four numbers

B
B is larger than C

C
A is the largest of the 4 numbers

D
D is the largest of the 4 numbers

Solution

A is the largest of the 4
numbers because its place
value is 9000
Question 6
1 / -0

Observe the following pattern for obtaining the sums then find the sum of numbers from 781 to 790?
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 = 255
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59 + 60 = 555
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = 1055
251 + 252 + 253 + 254 + 255 + 256 + 257
258 + 259 + 260 = 2555

A
7055

B
7855

C
7955

D
8155

Solution

781 + 782 + 783 + 784 + 785
786 + 787 + 788 + 789
+ 790 = 7855
Question 7
1 / -0

Choose the correct statement(s):
$$A$$: Every sequence is a progression.
$$B$$: Every progression is a sequence.

A
Only $$A$$

B
Only $$B$$

C
Both $$A$$ and $$B$$

D
None

Solution

The difference between a progression and a sequence is that a progression has a specific rule to calculate its next term from its previous term, whereas a sequence can be based on a logical rule like 'a group of prime numbers'.
Thus, every progression is a sequence but every sequence is not a sequence.
Question 8
1 / -0

$$10,$$ __$$, 15, 15, 20, 20, 25, 25,...$$. What number should fill the blank?

A
7

B
8

C
10

D
15

Solution

Here addition with repetition series, each number in the series repeats itself, and then increases by $$5$$ to get the next number.
The next number is $$10$$.
Question 9
1 / -0

_______ is a series of successive events.

A
Series

B
Preceding sequence

C
Progression

D
Geometric progression

Solution

Progression is a series of successive events.
Question 10
1 / -0

________ can be defined as arrangement of terms in which sequence of terms follow some conditions.

A
Series

B
Preceding sequence

C
Progression

D
Geometric progression

Solution

Progression can be defined as arrangement of terms in which sequence of terms follow some conditions.

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Sequences and Series Test 9

Result

Sequences and Series Test 9

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SHARING IS CARING

Question 1

$$48$$

$$52$$

$$60$$

$$50$$

Solution

Question 2

4.5

15.66

20.10

6.35

Solution

Question 3

7.1

5.6

5.8

4.5

Solution

Question 4

$$1000$$

$$500$$

$$50$$

$$2000$$

Solution

Question 5

D is the smallest of the four numbers

B is larger than C

A is the largest of the 4 numbers

D is the largest of the 4 numbers

Solution

Question 6

7055

7855

7955

8155

Solution

Question 7

Only $$A$$

Only $$B$$

Both $$A$$ and $$B$$

None

Solution

Question 8

7

8

10

15

Solution

Question 9

Series

Preceding sequence

Progression

Geometric progression

Solution

Question 10

Series

Preceding sequence

Progression

Geometric progression

Solution

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