Square root decomposition technique is only applicable when the number of indices in an array is a perfect square.

A teacher asked the class to subtract 5 from 75.70% of the class said: 25. Their work was shown as: \(\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} 7&5 \end{array}}\\ {\underline {\begin{array}{*{20}{c}}\ { - 5} \ \ \ &{} \end{array}} }\\ {\underline {\begin{array}{*{20}{c}} 2&5 \end{array}} } \end{array}\) Which of the following describes the most appropriate remedial action that the teacher should take to clarify this misconception?

A

Revise the concept of place value and asking students to explain the process they have used to solve the problem

B

Revise the rule of subtraction of 1-digit numbers from 2-digit numbers that digits should be written from right to left.

C

Give more practice on simpler problems like subtracting 1-digit numbers.

D

Use a number line to explain how subtraction is done

When subtracting the square root of the square root of 625 from the square root of the square root of 1296, which of the following number is square root of the difference?

A

1

B

4

C

9

D

25

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm

A

Quantity 2 > Quantity 3 > Quantity 1

B

Quantity 1 > Quantity 2 > Quantity 3

C

Quantity 3 > Quantity 1 > Quantity 2

D

Quantity 1 = Quantity 2 < Quantity 3

E

Quantity 1 > Quantity 2 = Quantity 3

A class III mathematics teacher gave the following questions to her students: \(\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}\) Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?

A

It is an example of contextual question

B

It is an example of open ended task

C

Teacher should have asked the students to solve ten more such questions as a home task to save the time

D

The tasks is based on drill and practice and should be discouraged at primary level

A material is loaded elastically under plane stress condition given by the following tensor:
\[\left[ {\begin{array}{*{20}{c}} 1 \\ 0 \end{array}\begin{array}{*{20}{c}} 2 \\ 1 \end{array}\begin{array}{*{20}{c}} 0 \\ 0 \end{array}} \right

A

\

B

The modulus of rigidity is 25 MPa. The maximum elastic engineering strain is

C

A. 0.48

D

0.4

If the number of perfect square factors and perfect cube factors of 3000 is x and y respectively, then what is the ratio of the sum of total perfect square factors and the perfect cube factors to that of the total number of factors of 3000? Session Expired We will redirect you to login 1page in 5 secs. Please login again and resume your work

A

1 : 6

B

1 : 8

C

1 : 4

D

1 : 2

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A

8p

B

pq

C

pq+27

D

-p

Which of the following represents the correct matching set. Type of root Example a) Taproot root i) Banyan tree b) Adventitious root ii) Carrot c) Prop root iii) Sugarcane d) Stilt root iv) Sweet potato

A

(a) - (i), (b) - (iii), (c) - (ii), (d) - (iv)

B

(a) - (ii), (b) - (iv), (c) - (i), (d) - (iii)

C

(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)

D

(a) - (iv), (b) - (i), (c) - (ii), (d) - (iii)

6,241 is a number whose square root is the perfect number. Then this number is multiplied by its square root. The answer is

A

79

B

6,241

C

4,93,039

D

3,57,911

M is the smallest number that has exactly 15 factors. Which of the following is correct? A. M – 23 a perfect square B. Unit digit of M is 9 C. Sum of digits of M is a perfect square D. M is a perfect square

A

Only A and B

B

Only A, C and D

C

Only C and D

D

Only B and D

Square root decomposition technique is only applicable when the number of indices in an array is a perfect square.

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