Olympiad Test : Model Test Paper - Class 6 MCQ

• The given letters are F, G, O, R.
• Rearranging these letters forms the word FROG.
• A frog is an amphibian, which places it in the Animal category.

According to the question,

Given information is, In a certain language "DELHI" is written as 451289. 

The pattern used in this question is an alphabet number like A=1, B=2, C=3......

So,D is the 4th letter, E is the 5th, L is 12th  and so on.

Hence, MUMBAI is equivalent to 132113219

Hence, the answer is 132113219. 

Three times we get a sequence like 378, where 7 is preceded by 3 and followed by 8.

• The total number of students in the class is 35.
• Kartik is placed 7th from the bottom, so his position from the top is 35 - 7 + 1 = 29th.
• Mohit is placed 9th from the top.

Now, Sonal is placed exactly between Kartik and Mohit, so Sonal’s position is the average of Kartik’s and Mohit’s positions:

• Sonal's position = (29 + 9) / 2 = 19th.

The position of Kartik from Sonal is:

• Kartik's position from Sonal = 29 - 19 = 10th.

Thus, the correct answer is Option B: 10th.

The mother of the son's wife's daughter is the son's wife itself and the son's wife is the daughter in law. So, the brother's daughter-in-law is Arun's daughter-in-law too.

To identify the odd one out, let's examine the relationship between the numbers in each option. In each case, the number inside the parentheses seems to represent a product of the numbers outside:

• Option A: 29(96)17
  • 29 × 17 = 493, and the number inside the parentheses is 96. This does not match the product.
• Option B: 42(120)27
  • 42 × 27 = 1134, and the number inside the parentheses is 120. This also doesn't match the product.
• Option C: 77(76)68
  • 77 × 68 = 5236, and the number inside the parentheses is 76. This matches the product!
• Option D: 64(88)53
  • 64 × 53 = 3392, and the number inside the parentheses is 88. This does not match the product.

Hence, Option C is the odd one out because it follows a different pattern than the others.

Thus, the correct answer is Option C.

Let's examine the numerals in each group:

Option A: 1427

• The digits are 1, 4, 2, and 7. The difference between consecutive digits:
  • 4 - 1 = 3
  • 2 - 4 = -2
  • 7 - 2 = 5.

Option B: 3427

• The digits are 3, 4, 2, and 7. The difference between consecutive digits:
  • 4 - 3 = 1
  • 2 - 4 = -2
  • 7 - 2 = 5.

Option C: 5207

• The digits are 5, 2, 0, and 7. The difference between consecutive digits:
  • 2 - 5 = -3
  • 0 - 2 = -2
  • 7 - 0 = 7.

Option D: 3148

• The digits are 3, 1, 4, and 8. The difference between consecutive digits:
  • 1 - 3 = -2
  • 4 - 1 = 3
  • 8 - 4 = 4.

In Option D, the difference pattern does not follow a consistent increase or decrease as in the other options.

Thus, the correct answer is Option D.

• To evaluate 10P2 × 5Y5
• P implies x and Y implies -
• Putting these in original equation, we get
  10 x 2 x 5-5
• Using BODMAS, We get
  100 - 5 = 95
• Hence, Option 'b' is correct.

Given series: 437523721367542742712276572
Conditions:
7's which are preceded by an even number but not followed by any odd number
Even number → 7 → Not odd number
437523721367542742712276572
Here, we get two 7's which are preceded by an even number but not followed by any odd number
Hence, the correct answer is 2.

5(16)3    (5+3)(5-3)  8x2 = 16
7(24)5    (7+5)(7-5)  12x2 = 24
9(?)6      (9+6)(9-6)  15x3 = 45

The given series is: 17, 23, 29, 35, ?

Each number in the series is obtained by adding 6 to the previous number.

So, to find the missing number, we'll add 6 to 35:

35 + 6 = 41

Therefore, the missing number is 41.

Let's break down the given values and identify any possible patterns:

• For "MAT" = 34:

  • M = 13 (position in the alphabet)
  • A = 1 (position in the alphabet)
  • T = 20 (position in the alphabet)
  • Adding these: 13+1+20=34

• For "DO" = 19:

  • D = 4 (position in the alphabet)
  • O = 15 (position in the alphabet)
  • Adding these: 4+15=19

It appears that the value of each word is the sum of the positions of its letters in the alphabet.

Now, let's apply this rule to "MANGO":

• M = 13
• A = 1
• N = 14
• G = 7
• O = 15

Adding these values: 13+1+14+7+15=50

Therefore, the value for "MANGO" is: 50

According to the conditions given in the question, 'Y' is the brother of 'Z' who is son of 'P' which means 'Y' is also the son of 'P'. Since 'P' is father of 'Y' and 'X' is the wife of 'Y' which implies that 'P' must be father-in-law of 'X'.

Hence, P is X's father-in-law i.e, the correct option is C.  

213 = 2²13² = 419;
322 = 3²22² = 924;
415 = 4²15² = 16125
215 = 2²15² = 4125

According to given conditions,

Hence, A is to the ‘South-West’ of C.

If DRINK = 6 so here in drink there are 5 letters so 5+1= 6
POLLUTION = 10, so here in pollution there are 9 letters so 9+1 =10
then GOVERNMENT is equal to 11 as it contain 10 letters

Let's examine the pattern in the series:
13, 24, 46, 90, 178, ___

Look at the difference between consecutive terms:

• 24 - 13 = 11
• 46 - 24 = 22
• 90 - 46 = 44
• 178 - 90 = 88

The differences are doubling each time: 11, 22, 44, 88, ___

So, the next difference should be 88 × 2 = 176.

Now, add this difference to the last term in the series: 178 + 176 = 354.

Thus, the next term in the series is 354.

The correct answer is Option A: 354.

The pattern followed is:

‘GRASP’ is coded as ‘BMVNK'.

Similarly,

"CRANE" will be coded as "XMVIZ".

Hence, the correct answer is "XMVIZ".

Given data :

Sumit is 17th from the last and Raman is 7 ranks ahead of Suman.

So, Raman is = 17 + 7 = 24th (from the last)

The total number of students is = 39

Raman rank from the start = Total number of students - Raman's rank from the last + 1

= 39 - 24 + 1 = 15 +1 = 16

Raman's rank from the start is 16th.

Hence, '16' is the correct answer.

take lcm of 5 and 7 = 35

14/35 , 20/35 , 21/35 , 30/35
 so clearly 30/35 is largest so 6/7 is largest

To find the value of x in the equation:

Follow these steps:

1. Subtract 7 from both sides:
   

2. Multiply both sides by 2 to cancel the fraction:

   x = −7 × 2
   x = −14

3. So, the value of x is -14.

    

Let the two numbers be x and y, where x is the larger number.

We are given two conditions:

• x = y + 9 (The larger number exceeds the smaller number by 9)
• x + y = 81 (Their sum is 81)

Now, substitute the value of x from the first equation into the second equation:

(y + 9) + y = 81

Simplifying the equation:

2y + 9 = 81

Subtract 9 from both sides:

2y = 72

Divide by 2:

y = 36

Now substitute y = 36 into the first equation to find x:

x = y + 9 = 36 + 9 = 45

Thus, the larger number is 45.

We can use the concept of "man-days," which represents the total amount of work that can be done by a certain number of people in a certain number of days.

Step 1: Calculate the total provision available in terms of man-days.

Initially, there are provisions for 423 men for 36 days.

Total man-days of provision = 423 × 36 = 15,228 man-days

Step 2: Calculate how many days the provision will last for 324 men.

Now, there are only 324 men in the camp.

To find the number of days the provisions will last, divide the total man-days by the number of men:

Number of days = 15,228 ÷ 324 = 47 days

To find the ratio of the speeds of the bus and the train, we need to calculate their speeds first and then find the ratio.

Step 1: Calculate the speed of the bus.

Speed = Distance / Time

For the bus:

• Distance = 225 km
• Time = 3 hours

Speed of the bus = 225 km / 3 hours = 75 km/h

Step 2: Calculate the speed of the train.

For the train:

• Distance = 600 km
• Time = 5 hours

Speed of the train = 600 km / 5 hours = 120 km/h

Step 3: Find the ratio of their speeds.

The ratio of their speeds = Speed of the bus : Speed of the train = 75 km/h : 120 km/h

Simplifying the ratio:

75 : 120 = 75 ÷ 15 : 120 ÷ 15 = 5 : 8

So, the ratio of their speeds is 5:8.

Answer: C) 5:8

To solve this, we can use the concept of "man-hours," which is the total amount of work done by a given number of people in a certain amount of time.

Step 1: Calculate the total man-hours required to dig the pitch.

If 20 boys can dig the pitch in 12 hours, then the total man-hours required to complete the task is:

Total man-hours = 20 boys * 12 hours = 240 man-hours

Step 2: Calculate the time taken by 16 boys to complete the task.

If 16 boys are working, and the total man-hours required to complete the task is 240, the time taken by 16 boys is:

Time = Total man-hours / Number of boys = 240 man-hours / 16 boys = 15 hours

Answer: B) 15 hours

Through any two given points, there can only be one straight line. This is a basic concept of geometry, which states that through any two distinct points, exactly one line can be drawn.

The maximum number of points of intersection when three lines are drawn in a plane, as shown, is 3 points.

The length of the rectangle = 23 m (given)

The cost of fencing the field = Rs 1920 per m

Fencing is done on the perimeter of the field, so,

The perimeter of the rectangular field = total fencing cost ÷ fencing per metre

⇒ 2(l+b) = 1920 ÷ 24

⇒ 2(l+b) = 80

[ perimeter of a rectangular field is 2(l+b), in which l is the length and b is the breadth of the rectangular field ]

⇒ 2(23 + b)  = 80

⇒  46 + 2b = 80

⇒ 2b = 80 - 46

⇒ 2b = 34

⇒ b = 34 ÷ 2

⇒ b = 17

Hence, breadth of the rectangular field is 17 m

To calculate the number of tiles required, first, we need to find the area of the floor and the area of one tile:

1. Area of the floor:

   • Length of the room = 4 m
   • Breadth of the room = 3 m
   • Area of the floor = length × breadth = 4 × 3 = 12 square meters

2. Area of one tile:

   • Side of the tile = 0.5 m
   • Area of one tile = side × side = 0.5 × 0.5 = 0.25 square meters

3. Number of tiles required:

   • Number of tiles = Area of the floor / Area of one tile = 12 / 0.25 = 48 tiles

So, 48 tiles will be required to cover the floor.

A brick is a three-dimensional object with six rectangular faces, which makes it a cuboid. A cuboid is a type of prism where all the faces are rectangles.

• Cube: All sides are equal in length.
• Cuboid: Opposite faces are equal, and the dimensions (length, breadth, height) can differ.
• Cylinder: Has circular bases and curved sides.
• Prism: A 3D shape with two parallel, identical bases and rectangular sides (a cuboid is a special type of prism).

Hence, a brick fits the description of a cuboid.