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Symbol & Notation

The document contains a series of mathematical puzzles involving the manipulation of symbols and operations. Each question presents a unique set of rules for interpreting mathematical signs, requiring the reader to solve equations based on these altered meanings. The document is structured in a quiz format, with multiple-choice answers provided for each problem.

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anikashyap2006
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0% found this document useful (0 votes)
67 views2 pages

Symbol & Notation

The document contains a series of mathematical puzzles involving the manipulation of symbols and operations. Each question presents a unique set of rules for interpreting mathematical signs, requiring the reader to solve equations based on these altered meanings. The document is structured in a quiz format, with multiple-choice answers provided for each problem.

Uploaded by

anikashyap2006
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Symbol & Notation (e) None of these


1. If × means ÷, – means ×, ÷ means + and + means –, then 10. If ‘when’ means ‘×’, ‘you’ means ‘÷’ ‘come’ means ‘–’ and
× ÷ - × ÷ + + ‘will’ means ‘+’, then what will be the value of “8 when 12
– will 16 you 2 come 10”?
(3 – 15 ÷ 19) × 8 + 6 =? when ‘×’ you ‘÷’ ‘come’
(a) –1 (b) 2 (c) 4 (d) 8 ‘–’ ‘will’ ‘+’ “8 when 12 will 16 you 2
2. If × means +, + means ÷, – means × and ÷ means –, then come 10”
× + + ÷ – × ÷ (a) 45 (b) 94 (c) 96 (d) 112
– (e) None of these
8 × 7 – 8 + 40 ÷ 2 =? 11. If ‘–’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for
(a) 10 (b) 20 (c) 30 (d) None of these ‘subtraction’ and ‘×’ for ‘addition then which one of the
3. If × means –, + means ÷, – means × and ÷ means +, then following equations is correct?
× – + ÷ – × ÷ ‘+’ ‘÷’
+ ‘×’
15 – 2 ÷ 900 + 90 × 100 =? (a) 4 × 5 + 9 – 3 ÷ 4 = 15 (b) 4 × 5 × 9 + 3 ÷ 4 = 11
(a)190 (b)180 (c) 90 (d) 0 (c) 4 – 5 ÷ 9 × 3 – 4 = 17 (d) 4 ÷ 5 + 9 – 3 + 4 = 18
(e)None of these 12. If ‘+’ stands for ‘division’, ‘÷’ stands for ‘multiplication’, ‘×’
4. If ‘+’ means ‘divided by ‘–’ means ‘add’, ‘×’ means ‘minus’ stands for ‘subtraction’ and ‘–’ stands for ‘addition’, which
and ‘/’ means ‘multiplied by’ then what will be the value of one of the following is correct?
the following expression? ‘+’ ‘÷’ ‘×’
‘+’ ‘–’ ‘×’ ‘–’
/ (a) 18 + 6 × 7 + 5 – 2 = 22 (b) 18 × 6 + 7 ÷ 5 – 2 = 16
(c) 18 + 6 – 7 + 5 × 2 = 20 (d) 18 + 6 ÷ 7 × 5 – 2 = 18
[[(17 × 12) – (4/2)] + (23 – 6)]/0 13. If ®stands for ‘addition’, ¬ stands for ‘subtraction’, - stands
(a) infinite (b) 0 (c) 478 (d) 219 for ‘division’, ¯ stands for ‘multiplication’, Z stands for ‘equal
5. If + stands for ×, – for ÷, × for – and ÷ for +, find the value of to’, then which of the following alternatives is correct?
26 + 74 – 4 × 5 ÷ 2 ® ¬ -
(a) 220 (b) 376 (c) 478 (d) 488 ¯ Z
6. If Q means ‘add to’, J means ‘multiply by’, T means ‘subtract
from’ and K means ‘divide by’, then (a) 7 ¬43 - 6 ¯1Z 4 (b) 3 ¯ 6 - 2 ®3 ¬6 Z5
Q J T (c) 5 ®7 ¬3 - 2 Z 4 (d) 2 ¯ 5 ¬ 6 ® 2Z 6
K 14. If – means ÷, + means ×, ÷ means–, × means +, then which of
30 K 2 Q 3 J 6 T 5 =? the following equations is correct?
(a) 22 (b) 28 (c) 47 (d) 48 – ÷ + × ÷ ×
7. If P denotes ÷, Q denotes ×, R denotes + and S denotes – then +
what is the value of 18 Q 12 P 4 R 5 S 6 ? (a) 52 ÷ 4 + 5 × 8 – 2 = 36 (b) 43 × 7 ÷ + 4 – 8 = 25
P, ÷ Q, × R, + (c) 36 × 4 – 12 + 5 ÷ 3 = 420 (d) 36 – 12 × 6 ÷ 3 + 4 = 60
S, – 18 Q 12 P 4 R 5 S 6 15. If P denotes +, Q denotes –, R denotes × and S denotes ÷,
(a) 53 (b) 59 (c) 63 (d) 65 which of the following statement is correct?
8. If P means ‘division’, T means ‘addition’, M means P + Q – R × S
‘subtraction’ and D means ‘multiplication’. then what will ÷
be the value of the expression (a) 36 R 4 S 8 Q 7 P 4 = 10 (b) 16 R 12 P 49 S 7 Q 9 = 200
P T M (c) 32 S 8 R 9 = 160 Q 12 R 12 (d) 8 R 8 P 8 S 8 Q 8 = 57
D TYPE-2
12 M 12 D 28 P 7 T 15? Directions (16 to 22): In each of the following questions,
(a) –30 (b) –15 (c) 15 (d) 45 the given equation becomes correct due to the interchange of
(e) None of these two signs. One of the four alternatives under it specifies the
9. If P means ×, R means +, T means ÷ and S means –, then interchange of signs in the equation which made will make the
P × R + T ÷ S equation correct. Find the correct alternatives.

18 T 3 P 9 S 8 R 6 =?
(a) 11 (b) 23 (c) 46 (d) 47

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22

(a) + and ÷, 2 and 3 (b) + and ÷, 2 and 4


(c) + and ÷, 3 and 4 (d) No interchange, 3 and 4
16. 5 + 3 × 8 – 12 ÷ 4 = 3 30. 4×6–2=14
(a) + and – (b) – and ÷ (a) × to ÷, 2 and 4 (b) – to ÷, 2 and 6
(c) + and × (d) + and ÷ (c) – to +, 2 and 6 (d) × to +, 4 and 6
17. 5+6÷3–12×2=17 31. (6÷2) ×3 = 0
(a) ÷ and × (b) + and × (a) ÷ and ×, 2 and 3 (b) × to –, 2 and 6
(c) + and ÷ (d) + and – (c) ÷ and ×, 2 and 6 (d) × to –, 2 and 3
18. 2×3+6–12÷4=17 32. Select the correct set of symbols which will fit in the given
(a) × and + (b) + and – equation
(c) + and ÷ (d) – and ÷
19. 16–8÷4+5×2=8
(a) ÷ and × (b) – and÷ 5 0 3 5 = 20
(c) ÷ and + (d)– and × (a) ×, ×, × (b)–, +, × (c) ×, +, × (d) +, –, ×
20. 9+5÷4×3–6=12 33. Which of the following meanings of the arithmetical signs
(a) + and × (b) ÷ and × will yield the value ‘zero’ for the expression given below?
(c) ÷ and – (d) + and –
21. 12÷2–6×3+8=16
(a) ÷ and + (b)– and + 200×100+300×200–10÷2+40
(c) × and + (d) ÷ and × (a) + means –, – means ×, × means ÷, ÷ means +
22. 10+10÷10–10×10=10 (b) + means –, – means ÷, × means +, ÷ means ×
(a) + and – (b) + and ÷ (c) + means ×, – means – , × means ÷, ÷ means +
(c) + and × (d) ÷ and + (d) + means ÷, – means +, × means – , ÷ means ×
Directions (23 to 27): In each of the following questions, (e) None of these
the two expressions on either side of the sign (=) will have the 34. By applying which of the following meanings of arithmetical
same value if two terms on either side or on the same side are signs, will the value of 700 – 10 ÷1 2×35 +70 be zero?
interchanged. The correct terms to be interchanged have been
given as one of the four alternatives under the expressions.
Find the correct alternative in each case. 700 – 10 ÷1 2×35 +70
(23 to 27): (a) × means ÷, + means ×, ÷ means +, – means
(b) × means ÷, + means –, ÷ means ×, – means +
(c) × means +, + means –, ÷ means ×, – means ÷
(d) × means ÷, + means –, ÷ means ×, – means +

23. 5+3×6–4÷2=4×3–10÷2+7
(a) 4, 7 (b) 5, 7 (c) 6, 4 (d) 6, 10
24. 7×2–3+8÷4=5+6×2–24÷3
(a) 2, 6 (b) 6, 5 (c) 3, 24 (d) 7, 6
25. 15+3×4–8÷2=8×5+16÷2–1
(a) 3, 5 (b) 15, 5 (c) 15, 16 (d) 3, 1
26. 6×3+8÷2–1=9–8÷4+5×2
(a) 3, 4 (b) 3, 5 (c) 6, 9 (d) 9, 5
27. 8÷2×5–11+9=6×2–5+4÷2
(a) 5, 9 (b) 8, 5 (c) 9, 6 (d) 11, 5
Directions (28 to 34):- In each of the following questions,
which one of the four interchanges in signs and numbers would
make the given equation correct?
(28 to 34):-

28. 6×4+2=16
(a) + and ×, 2 and 4 (b) + and ×, 2 and 6
(c) + and ×, 4 and 6 (d) None of these
29. (3÷4) +2=2
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