RAGA Test

Result

RAGA Test - 5

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Weekly Quiz Competition

Question 1
1 / -0.25

In an election contest between A and B, A wins by the margin of 480 votes. If A gets 70% of the total votes. then total votes are

A
1400

B
1200

C
4800

D
1600

Solution

Given:

A wins by the margin of 480 votes

A gets 70% of the total votes

Calculation:

Let the total number of votes polled be x.

According to the question

Then, 70% of x = 30% of x + 480

⇒ 70x/100 = 30x/100 + 480

⇒ (70 – 30)x/100 = 480

⇒ x = (480 × 100)/40

⇒ x = 1200

∴ Total number of votes polled is 1200.

Shortcut Trick

A gets 70% vote, then B gets 30% vote

according to question,

⇒ 70% – 30% = 480

⇒ 40% = 480

⇒ 1% = 12

⇒ 100% = 1200

∴ Total number of votes polled is 1200.
Question 2
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A shopkeeper allowed 10% discount on a article and still able to manage 10% profit. Find the ratio of cost price and marked price.

A
9 : 11

B
11 : 9

C
10 : 11

D
Cannot be determined

Solution

Shortcut Trick

A shopkeeper allowed d% discount on a article and still able to manage p% profit.

The ratio of cost price and marked price,

⇒ C.P : M.P = (100% - d%) : (100% + p%)

Therefore,

⇒ C.P : M.P = (100% - 10%) : (100% + 10%)

⇒ C.P : M.P = 90% : 110% = 9 : 11

Therefore, '9 : 11' is the required answer.

Alternate Method

Given:

The discount offered on the article = 10%

The profit earned on the article = 10%

Formula used:
Question 3
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The diagonal of a square is 22 cm. What is the area (in sq. cm) of the square?

A
968

B
484

C
121

D
242

Solution

GIVEN:

Diagonal of a square = 22 cm

FORMULAE USED:

Area of Square = a²

Diagonal = a√2

CALCULATION:

a√2 = 22

a = 11√2

∴ Area of Square = 11√2 × 11√2 = 242 sq. cm
Question 4
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A
59/20

B
34/90

C
65/67

D
45/67

Solution
Question 5
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A dice is thrown randomly. What is the probability that the number shown on the dice is not divisible by 3?

A
1/3

B
2/3

C
1/4

D
2/5

Solution

Formula used:

Probability of an event = Number of favorable outcomes/Total outcomes

Calculation:

Numbers on dice not divisible by 3 are {1, 2, 4, 5}

⇒ Number of favorable outcomes = 4

Total possible outcomes = 6

∴ The probability that the number shown on the dice is not divisible by 3 is 4/6 = 2/3
Question 6
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Select the figure that will come next in the following series.

A

B

C

D

Solution

The figure that will come next in the series is shown bellow:

Figures are moving in an anti-clockwise direction at an angle of 90º. Symbols change as the pattern is shown above. The first symbol changes in second figure, the second symbol changes in third figure, the third symbol changes in fourth figure, so again the first symbol will change in fifth figure.

Hence, 'option 3' is the correct answer.
Question 7
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Select the combination of letters that when sequentially placed in the blanks will create a repetitive pattern.

a_bc_a_bcda_ccd_bcd_

A
a, a, b, c, c, d

B
a, c, b, d, b, d

C
a, d, b, b, a, d

D
a, d, b, b, d, d

Solution

Given :- a_bc_a_bcda_ccd_bcd_

By checking options and substituting accordingly.

1. a, a, b, c, c, d → a a b c a - a b b c d - a c c c d - c b c d d

2. a, c, b, d, b, d → a a b c c - a b b c d - a d c c d - b b c d d

3. a, d, b, b, a, d → a a b c d - a b b c d - a b c c d - a b c d d

4. a, d, b, b, d, d → a a b c d - a b b c d - a b c c d - d b c d d

♦ Option (3) gives a cyclic pattern of aabcd - abbcd - abccd - abcdd.

Hence, ‘a, d, b, b, a, d’ is the correct answer.
Question 8
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Select the number from the given alternatives, which can replace the question mark (?) in the following series.

4, 15, 41, 134, ?

A
457

B
754

C
745

D
547

Solution

The logic followed here is:

Given series is 4, 15, 41, 134, ?

Therefore, '547' is missing the number.

Hence, "Option (4)" is the correct answer.
Question 9
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If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?

64 × 8 ÷ 24 – 5 + 3

A
7

B
125

C
64

D
157

Solution

Explanation:

Decoding the information,

Sign

+

-

×

÷

Means

-

×

÷

+

Given:

64 × 8 ÷ 24 – 5 + 3

After replacing the signs from left to right and using the BODMAS rule,

= 64 ÷ 8 + 24 × 5 - 3

= 8 + 24 × 5 - 3

= 8 + 120 - 3

= 128 - 3

= 125

Hence, “125” is the correct answer.
Question 10
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Six children, Anand, Badri, Chaya, Dhruv, Srikar and Umesh are standing in a line, facing north. Umesh is standing second to the right of Srikar and to the immediate left of Chaya. Badri is between Dhruv and Chaya. Who is standing fourth to the left of Dhruv?

A
Chaya

B
Srikar

C
Umesh

D
Anand

Solution

Given : Six children, Anand, Badri, Chaya, Dhruv, Srikar and Umesh are standing in a line, facing north.

Explanation :

1) Umesh is standing second to the right of Srikar and to the immediate left of Chaya.

There are three possible cases for the position of Umesh.

2) Badri is between Dhruv and Chaya.

As in case - (2) and case - (3) there is no possible position for Badri and Dhruv, therefore these cases are eliminated.

After positioning Badri and Dhruv only one position is left which will be occupied by the only person left i.e Anand.

Thus, according to the final arrangement Anand is standing fourth to the left of Dhruv.

Hence, "Anand" is the correct answer.