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Question (1)

QN0032346

Two groups have sums 42 and 48. Which pair should be interchanged to make the sums equal in one move?

(A) 8 and 10
(B) 12 and 14
(C) 22 and 24
(D) 8 and 24

Correct Answer: A

Explanation:

Difference between the sums is 6. Swap numbers differing by 3. Swapping 8 and 10 makes both sums 45.

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Question (2)

QN0032347

What is the main aim of the activity "Making Sums Equal"?

(A) To arrange numbers in ascending order
(B) To make the sums of two groups equal by interchanging numbers
(C) To find the largest number
(D) To multiply all numbers

Correct Answer: B

Explanation:

The goal is to balance the sums of two groups.

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Question (3)

QN0032348

Group A has sum 56 and Group B has sum 64. What should be the difference between the two numbers interchanged to make the sums equal in one move?

(A) 2
(B) 4
(C) 8
(D) 16

Correct Answer: B

Explanation:

Difference of sums is 8, so the exchanged numbers must differ by 4.

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Question (4)

QN0032349

Group A: 9, 15, 18 (Sum = 42) and Group B: 11, 16, 21 (Sum = 48). Which pair should be swapped?

(A) 9 and 11
(B) 15 and 16
(C) 18 and 21
(D) 9 and 21

Correct Answer: A

Explanation:

Swapping 9 and 11 makes both sums 44.

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Question (5)

QN0032350

If the sum of one group is 70 and the other is 70, what is the least number of interchanges needed?

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: A

Explanation:

The sums are already equal, so no interchange is needed.

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Question (6)

QN0032351

Group A has sum 85 and Group B has sum 95. Which difference should the exchanged numbers have?

(A) 2
(B) 5
(C) 10
(D) 20

Correct Answer: B

Explanation:

Difference between sums is 10, so the exchanged numbers should differ by 5.

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Question (7)

QN0032352

Group A: 14, 18, 20 (Sum = 52) and Group B: 16, 19, 23 (Sum = 58). Which swap makes the sums equal?

(A) 14 and 16
(B) 18 and 19
(C) 20 and 23
(D) 14 and 23

Correct Answer: A

Explanation:

Swapping 14 and 16 makes both sums 54.

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Question (8)

QN0032353

Which operation is mainly used in the "Making Sums Equal" activity?

(A) Multiplication
(B) Division
(C) Interchanging numbers
(D) Drawing shapes

Correct Answer: C

Explanation:

The activity is based on exchanging numbers between two groups.

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Question (9)

QN0032354

Group A: 5, 11, 20 (Sum = 36) and Group B: 8, 13, 21 (Sum = 42). Which pair should be interchanged?

(A) 5 and 8
(B) 11 and 13
(C) 20 and 21
(D) 5 and 21

Correct Answer: A

Explanation:

Swapping 5 and 8 makes both sums 39.

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Question (10)

QN0032355

If the difference between the sums of two groups is 12, then the exchanged numbers should differ by

(A) 3
(B) 4
(C) 6
(D) 12

Correct Answer: C

Explanation:

The exchanged numbers should differ by half of 12, which is 6.

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Question (1)

Two groups have sums 42 and 48. Which pair should be interchanged to make the sums equal in one move?

Explanation:

Link:

Question (2)

What is the main aim of the activity "Making Sums Equal"?

Explanation:

Link:

Question (3)

Group A has sum 56 and Group B has sum 64. What should be the difference between the two numbers interchanged to make the sums equal in one move?

Explanation:

Link:

Question (4)

Group A: 9, 15, 18 (Sum = 42) and Group B: 11, 16, 21 (Sum = 48). Which pair should be swapped?

Explanation:

Link:

Question (5)

If the sum of one group is 70 and the other is 70, what is the least number of interchanges needed?

Explanation:

Link:

Question (6)

Group A has sum 85 and Group B has sum 95. Which difference should the exchanged numbers have?

Explanation:

Link:

Question (7)

Group A: 14, 18, 20 (Sum = 52) and Group B: 16, 19, 23 (Sum = 58). Which swap makes the sums equal?

Explanation:

Link:

Question (8)

Which operation is mainly used in the "Making Sums Equal" activity?

Explanation:

Link:

Question (9)

Group A: 5, 11, 20 (Sum = 36) and Group B: 8, 13, 21 (Sum = 42). Which pair should be interchanged?

Explanation:

Link:

Question (10)

If the difference between the sums of two groups is 12, then the exchanged numbers should differ by

Explanation:

Link:

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