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Quiz on Mathematical Reasoning for NTA UGC NET Paper 1 (02 June 2021)
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Paper 1 All questions 2 Marks each
- Navdeep Kaur
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Question 1 of 10
1. Question
2 pointsIf + means ×, × means -, ÷ means + and – means ÷, then which of the following gives the result of 625 – 25 ÷ 5 + 20 × 3 + 10?
Correct
Using the proper signs in the given expression, we get:
625 ÷ 25 + 5 × 20 – 3 × 10 = 25 + 5 × 20 – 3 × 10 = 25 + 100 – 30
= 125 – 30 = 95Incorrect
Using the proper signs in the given expression, we get:
625 ÷ 25 + 5 × 20 – 3 × 10 = 25 + 5 × 20 – 3 × 10 = 25 + 100 – 30
= 125 – 30 = 95 -
Question 2 of 10
2. Question
2 pointsIf > denotes +, < denotes -, + denotes ÷, – denotes =, = denotes ‘less than’ and × denotes ‘greater than’, find which of the following is a correct statement.
Correct
Using proper notations, we have:
(a) Given statement is 3 ÷ 2 + 4 < 9 ÷ 3 – 2 or 11/2 < 1, which is not true
(b) Given statement is 3 + 2 + 4 < 18 ÷ 3 – 1 or 9 < 5, which is not true
(c) Given statement is 3 + 2 – 4 > 8 ÷ 4 – 2 or 1 > 0, which is true
(d) Given statement is 3 ÷ 2 – 4 > 9 ÷ 3 – 3 or -5/2 > 0, which is not true
So, the statement (c) is true.Incorrect
Using proper notations, we have:
(a) Given statement is 3 ÷ 2 + 4 < 9 ÷ 3 – 2 or 11/2 < 1, which is not true
(b) Given statement is 3 + 2 + 4 < 18 ÷ 3 – 1 or 9 < 5, which is not true
(c) Given statement is 3 + 2 – 4 > 8 ÷ 4 – 2 or 1 > 0, which is true
(d) Given statement is 3 ÷ 2 – 4 > 9 ÷ 3 – 3 or -5/2 > 0, which is not true
So, the statement (c) is true. -
Question 3 of 10
3. Question
2 pointsIf ÷ implies =, × implies <, + implies >, – implies ×, > implies ÷, < implies +, = implies -, identify the correct expression.
Correct
Using the proper notations in (d), we get the statement as:
1 × 3 ÷ 2 > 1 < 5 > 3 × 1 ÷ 2 or 3/2>1<5>3/2, which is true.Incorrect
Using the proper notations in (d), we get the statement as:
1 × 3 ÷ 2 > 1 < 5 > 3 × 1 ÷ 2 or 3/2>1<5>3/2, which is true. -
Question 4 of 10
4. Question
2 pointsIf × stands for -, ÷ stands for +, + stands for ÷ and – stands for ×, which one of the following equations is correct?Correct
Using the proper signs, we get:
Expression in (a) = 15 × 5 + 5 – 20 ÷ 10 = 15 × 5 + 5 – 2 = 75 + 5 – 2 = 78
Expression in (b) = 8 + 10 × 3 ÷ 5 – 6 = 8 + 10 × 3/5 – 6 = 8 + 6 – 6 = 8
Expression in (c) = 6 – 2 ÷ 3 + 12 × 3 = 6 – 2/3 + 36 = 42 – 2/3=124/3
Expression in (d) = 3 + 7 × 5 – 10 ÷ 3 = 3 + 7 × 5 – 10/3=3+35-10/3=104/3
∴ Statement (b) is true.Incorrect
Using the proper signs, we get:
Expression in (a) = 15 × 5 + 5 – 20 ÷ 10 = 15 × 5 + 5 – 2 = 75 + 5 – 2 = 78
Expression in (b) = 8 + 10 × 3 ÷ 5 – 6 = 8 + 10 × 3/5 – 6 = 8 + 6 – 6 = 8
Expression in (c) = 6 – 2 ÷ 3 + 12 × 3 = 6 – 2/3 + 36 = 42 – 2/3=124/3
Expression in (d) = 3 + 7 × 5 – 10 ÷ 3 = 3 + 7 × 5 – 10/3=3+35-10/3=104/3
∴ Statement (b) is true. -
Question 5 of 10
5. Question
2 pointsIf ‘<’ means ‘minus’, ‘>’ means ‘plus’, ‘=’ means ‘multiplied by’ and ‘$’ means ‘divided by’, then what would be the value of 31 > 81 $ 9 < 7?
Correct
Using the correct symbols we have:
Given expression = 31 + 81 ÷ 9 – 7 = 31 + 9 – 7 = 33Incorrect
Using the correct symbols we have:
Given expression = 31 + 81 ÷ 9 – 7 = 31 + 9 – 7 = 33 -
Question 6 of 10
6. Question
2 pointsIf × means ÷, – means ×, ÷ means + and + means -, then (4 – 15 ÷ 12) × 8 + 9 = ?
Correct
Using the correct symbols, we have:
Given expression = (4 × 15 + 12) ÷ 8 – 9 = 72 ÷ 8 – 9 = 9 – 9 = 0Incorrect
Using the correct symbols, we have:
Given expression = (4 × 15 + 12) ÷ 8 – 9 = 72 ÷ 8 – 9 = 9 – 9 = 0 -
Question 7 of 10
7. Question
2 pointsIf Q means ‘add to’, J means ‘multiply by’, T means ‘subtract from’ and K means ‘divide by’, then 26 K 2 Q 3 J 6 T 4 = ?
Correct
Using the correct symbols, we have:
Given expression = 26 ÷ 2 + 3 × 6 – 4 = 13 + 18 – 4 = 27Incorrect
Using the correct symbols, we have:
Given expression = 26 ÷ 2 + 3 × 6 – 4 = 13 + 18 – 4 = 27 -
Question 8 of 10
8. Question
2 pointsIf ‘-’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, which one of the following equations is correct?
Correct
Using the proper notations in (d), we get the statement as:
6 – 20 + 12 × 7 ÷ 1 = 6 – 20 + 84 = 90 – 20 = 70Incorrect
Using the proper notations in (d), we get the statement as:
6 – 20 + 12 × 7 ÷ 1 = 6 – 20 + 84 = 90 – 20 = 70 -
Question 9 of 10
9. Question
2 pointsIf L denotes ÷, M denotes ×, P denotes + and Q denotes -, then which of the following statements is true?
Correct
Using the proper notations in (d), we get the statement as:
9 + 9 ÷ 9 – 9 × 9 = 9 + 1 – 9 × 9 = 9 + 1 – 81 = 10 – 81 = -71.Incorrect
Using the proper notations in (d), we get the statement as:
9 + 9 ÷ 9 – 9 × 9 = 9 + 1 – 9 × 9 = 9 + 1 – 81 = 10 – 81 = -71. -
Question 10 of 10
10. Question
2 pointsWhich one of the four interchanges in signs and numbers would make the given equation correct?
3 + 5 – 2 = 4Correct
By making the interchanges given in (a)
2 – 5 + 3 = 4 or 0 = 4, which is false.
By making the interchanges given in (b)
3 – 2 + 5 = 4 or 6 = 4, which is false.
By making the interchanges given in (c)
5 – 3 + 2 = 4 or 4 = 4, which is true.
So, the answer is (c).Incorrect
By making the interchanges given in (a)
2 – 5 + 3 = 4 or 0 = 4, which is false.
By making the interchanges given in (b)
3 – 2 + 5 = 4 or 6 = 4, which is false.
By making the interchanges given in (c)
5 – 3 + 2 = 4 or 4 = 4, which is true.
So, the answer is (c).
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