RAGA Test

Result

RAGA Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0.25

Two different position of the same dice are shown. Select the number that will be on the face opposite to the face having number '3'

A
2

B
3

C
4

D
6

Solution

As 1 is the common face on both the dice, keeping it constant and then rotating in clockwise direction, we get the faces opposite to each other.

1

5

3

1

2

4

So, the face opposite to the face having number '3' is ‘4’.

Hence, ‘4’ is the correct answer.
Question 2
1 / -0.25

Looking at the family picture, Smriti said, "She is my father’s father-in-law’s wife’s son’s only sister." How is the person in the photo related to Smriti’s father?

A
Mother

B
Sister-in-law

C
Wife

D
Daughter

Solution

Given Statement : Looking at the family picture, Smriti said, "She is my father’s father-in-law’s wife’s son’s only sister."

Thus, according to the final family tree that person in the photo is wife of Smriti's father.

Hence, "Wife" is the correct answer.
Question 3
1 / -0.25

If the average of a number, 50% of that number and 25% of the same number is 280, then the number is

A
280

B
480

C
360

D
None of the above

Solution

Given:

Average is 280.

Formula used:

Average = sum of the observation/number of the observation

Calculation:

Let the number be x

According to the question,

⇒ (x + 50% of x + 25% of x) / 3 = 280

⇒ (x + x/2 + x/4)/3 = 280

⇒ 7x/12 = 280

⇒ x = 480

∴ The number is 480.
Question 4
1 / -0.25

There were two candidates in an election, 10% of voters did not vote and 48 votes were found invalid. The winning candidate got 53% of all the voters in the list and won by 304 votes. Find the total number of votes enrolled.

A
1600

B
1230

C
4561

D
1653

Solution

Given:

There were two candidates in an election, 10% of voters did not vote and 48 votes were found invalid. The winning candidate got 53% of the total votes and won by 304 votes.

Concept used:

Percentage

Calculation:

Let the total number of voters be 100x

10% of voters did not vote

Number of voters who vote = 100x - 10x = 90x

48 votes were found invalid

Valid votes = 90x - 48

Votes gained by the loosing candidate = 90x - 48 - 53x

⇒ 37x - 48

As per the question,

⇒ 53x - (37x - 48) = 304

⇒ 16x = 304 - 48

⇒ 16x = 256

⇒ x = 16

∴ Total number of voters = 100x = 1600

Alternate Method

Let total number of votes be 100 units,

10% voters did not cast their vote

⇒ Votes polled = 90 units

The winning candidate got 53% of all the voters in the list and won by 304 votes,

⇒ Winning candidate got = 53 units votes

⇒ Other candidate got = 37 units votes

⇒ Difference in votes = 53 units votes - 37 units votes = 304 - 48 = 256 votes

⇒ 16 units = 256

∴ 100 units votes = 256/16 × 100 = 1600 votes

∴ Total number of voters = 1600.
Question 5
1 / -0.25

Two successive discounts of 40% and 20%, respectively, on the marked price of an article are equal to single discount of Rs 988. The marked price (in Rs) of the article is:

A
1,900

B
2,200

C
2,470

D
2,070

Solution
Question 6
1 / -0.25

On selling an item for 440 rupees, loss is 60% of the profit received on selling the same item in 1000 rupees. Know the purchase price of that item? (In rupees)

A
650

B
680

C
660

D
670

Solution

Calculation:

Let cost price of the item be Rs. x

According to the question

(x – 440) = (1000 – x) × 60/100

⇒ (x – 440) = (1000 – x) × 3/5

⇒ 5x – 2200 = 3000 – 3x

⇒ 5x + 3x = 3000 + 2200

⇒ 8x = 5200

⇒ x = 5200/8

⇒ x = 650

∴ The correct answer is option (1).

Shortcut Trick
Question 7
1 / -0.25

5 women can complete a work in 8 days, while 8 children take 10 days to complete the same work. How many days will 2 women and 4 children take to complete the work?

A
10

B
12

C
40

D
8

Solution

Given:

5 women can complete a work in 8 days and 8 children take 10 days to complete the work.

Formula used:

If a person can do a piece of work in days then that person's 1 day's work = 1/n

Calculations:

5W × 8 = 8C × 10

W/C = 2/1

Let the efficiency of women is 2 and children is 1.

Total work - 5 × 2 × 8 = 80

The work done by 2 women and 4 children = 2W + 4C

2 × 2 + 4 × 1 = 8

Number of days = 80/8 = 10 days.

∴ The answer is 10 days.
Question 8
1 / -0.25

Rs. 6,300 is divided between X, Y, Z, such that X : Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.

A
Rs. 2,000

B
Rs. 1,800

C
Rs. 2,400

D
Rs. 2,200

Solution

Given:

Total amount which is divided among A, B and C = Rs. 6,300

X : Y = 7 : 5 and Y : Z = 4 : 3

Calculation:

X : Y = 7 : 5 ----(1)

Y : Z = 4 : 3 ----(2)

Multiply by 4 in equation (1) and multiply by 5 in equation (2)

X : Y : Z = 28 : 20 : 15

Ratio of X : Y : Z = 28x : 20x : 15x

According to the question

28x + 20x + 15x = 6,300

⇒ 63x = 6,300

⇒ x = 6,300/63

⇒ x = 100

∴ Share of Y = 20 × 100 = Rs. 2,000
Question 9
1 / -0.25

Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?

A
250 m

B
500 m

C
1000 m

D
1500 m

Solution

Given:

Speed is 60 km per hour,

Train passed through a 1.5 km long tunnel in two minutes

Formula used:

Distance = Speed × Time

Calculation:

Let the length of the train be L

According to the question,

Total distance = 1500 m + L

Speed = 60(5/18)

⇒ 50/3 m/sec

Time = 2 × 60 = 120 sec

⇒ 1500 + L = (50/3)× 120

⇒ L = 2000 - 1500

⇒ L = 500 m

∴ The length of the train is 500 m.
Question 10
1 / -0.25

A car travels some distance at a speed of 8 km/hr and returns at a speed of 12 km/hr. If the total time taken by the car is 15 hours, then what is the distance (in km)?

A
48

B
60

C
56

D
72

Solution