Page 45 - CT&AI_CLasa_7_Part_1

6. If you have only weights of 1kg, 3kg, 9kg, and
27kg. Show how to weigh an object that is of
20kg. (Decomposition) –10 –9 –8 –7 –6 –4 –3 –1 0 1 2 3 4 5 6 7 8 9

(a) Left Pan: Object + 27 kg + 3 kg | Right
Pan: 9 kg + 1 kg (a) –10 (b) –5

(b) Left Pan: Object + 9 kg + 1 kg | Right (c) 5 (d) 15
Pan: 27 kg + 3 kg
9. If ABC + ABC = CCA (where each letter is a
(c) Left Pan: Object + 3 kg | Right Pan: unique integer), what is the value of A + B + C?
27 kg + 9 kg + 1 kg (Analytical Thinking)

(d) Left Pan: Object + 27 kg | Right Pan: (a) 20 (b) 21
9 kg + 3 kg + 1 kg
(c) 22 (d) Not possible
7. What is the product of (10 – 1)(10 – 2)(10 – 3)...
(10 – 20)? (Logical Thinking) 10. In a class test of 20 questions, each correct
answer earns 5 marks, while each incorrect
(a) A very large positive number answer results in a deduction of 2 marks.
Priya attempts all the questions and scores
(b) A very large negative number 8 correct answers. If Priya were to answer
10 questions correctly instead, how many
(c) 0
additional marks could she earn?
(d) 100 (Logical Thinking)

8 A robot on a number line at position 0 moves (a) 16 (b) 14
1 unit right, then 2 units left, then 4 units right,
then 8 units left. What is its position after the (c) 12 (d) 18
4th move? (Analytical Thinking)

Arrange the integers 3, 5, 6, 7, 8 and 10 into the circular grid given below, such
that:
Each number must be used exactly once.
The sum of any two adjacent numbers must be a prime number.

10

(a) 3, 5, 6, 7, 8 (b) 3, 7, 8, 5, 6

(c) 3, 8, 5, 6, 7 (d) 8, 7, 6, 5, 3

Operations with Integers 43