Page 1 Q. 4. 19 – [4 + {16 – (12 – 2)}] Sol. 19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}] = 19 – [4 + 6] = 19 – 10 = 9. Ans. Q. 5. 36 – [18 – {14 – (15 – 4 2 × 2)}] Sol. 36 – [18 – {14 – (15 – 4 2 × 2)}] = 36 – [18 – {14 – (15 – 2 × 2)}] = 36 – [18 – {14 – (15 – 4)}] = 36 – [18 – {14 – 11}] = 36 – [18 – 3] = 36 – 15 = 21. Ans. Q. 6. 27 – [18 – {16 – (5 – 4 1)}] Sol. 27 – [18 – {16 – (5 – 4 1)}] = 27 – [18 – {16 – (5 – 3)}] = 27 – [18 – {16 – 2}] = 27 – [18 – 14] = 27 – 4 = 23. Ans. Q. 7. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 Sol. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 24 5 3 5 4 5 3 10 1 5 of 5 1 24 5 3 4 5 3 10 1 5 24 5 1 3 4 5 3 10 1 5 8 5 12 50 1 5 80 12 10 50 92 10 50 82 50 82 2 50 2 41 25 1 16 25 . Ans. Q. 8. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 Points to Remember : 1. Simplifying the expression. For simplifications the given expression, involving brackets, of division, multiplication, addition and subtraction, we proceed according to the letter of these words, i.e., VBODMAS, where V stands for vinculum is bar B for brackets O for of, D for division, M for multiplication, A for addition and S for subtraction. 2. Brackets. There three kinds of brackets: (i) Round brackets or Small brackets ( ) (ii) Curly brackets or Braces { } (iii) Big brackets or Square brackets [ ] While simplifying there backets, we simplify W remove the brackets in the above given order, i.e., firstly ( ), then {} and lastly [ ]. EXERCISE 6 A Simplify : Q. 1. 21 – 12 3 × 2 Sol. 21 – 12 3 × 2 = 21 – 4 × 2 = 21 – 8 = 13. Ans. Q. 2. 16 + 8 4 – 2 × 3 Sol. 16 + 8 4 – 2 × 3 = 16 + 2 – 2 × 3 = 16 + 2 – 6 = 18 – 6 = 12. Ans. Q. 3. 13 – (12 – 6 3) Sol. 13 – (12 – 6 3) = 13 – (12 – 2) = 13 – (10) = 13 – 10 = 3 Ans. Page 2 Q. 4. 19 – [4 + {16 – (12 – 2)}] Sol. 19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}] = 19 – [4 + 6] = 19 – 10 = 9. Ans. Q. 5. 36 – [18 – {14 – (15 – 4 2 × 2)}] Sol. 36 – [18 – {14 – (15 – 4 2 × 2)}] = 36 – [18 – {14 – (15 – 2 × 2)}] = 36 – [18 – {14 – (15 – 4)}] = 36 – [18 – {14 – 11}] = 36 – [18 – 3] = 36 – 15 = 21. Ans. Q. 6. 27 – [18 – {16 – (5 – 4 1)}] Sol. 27 – [18 – {16 – (5 – 4 1)}] = 27 – [18 – {16 – (5 – 3)}] = 27 – [18 – {16 – 2}] = 27 – [18 – 14] = 27 – 4 = 23. Ans. Q. 7. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 Sol. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 24 5 3 5 4 5 3 10 1 5 of 5 1 24 5 3 4 5 3 10 1 5 24 5 1 3 4 5 3 10 1 5 8 5 12 50 1 5 80 12 10 50 92 10 50 82 50 82 2 50 2 41 25 1 16 25 . Ans. Q. 8. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 Points to Remember : 1. Simplifying the expression. For simplifications the given expression, involving brackets, of division, multiplication, addition and subtraction, we proceed according to the letter of these words, i.e., VBODMAS, where V stands for vinculum is bar B for brackets O for of, D for division, M for multiplication, A for addition and S for subtraction. 2. Brackets. There three kinds of brackets: (i) Round brackets or Small brackets ( ) (ii) Curly brackets or Braces { } (iii) Big brackets or Square brackets [ ] While simplifying there backets, we simplify W remove the brackets in the above given order, i.e., firstly ( ), then {} and lastly [ ]. EXERCISE 6 A Simplify : Q. 1. 21 – 12 3 × 2 Sol. 21 – 12 3 × 2 = 21 – 4 × 2 = 21 – 8 = 13. Ans. Q. 2. 16 + 8 4 – 2 × 3 Sol. 16 + 8 4 – 2 × 3 = 16 + 2 – 2 × 3 = 16 + 2 – 6 = 18 – 6 = 12. Ans. Q. 3. 13 – (12 – 6 3) Sol. 13 – (12 – 6 3) = 13 – (12 – 2) = 13 – (10) = 13 – 10 = 3 Ans. Sol. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 F H I K 2 3 4 9 5 3 5 4 1 3 of 3 5 6 4 9 5 3 5 4 1 3 of 3 5 10 9 5 3 5 4 1 3 of 3 5 2 3 5 3 5 4 1 3 2 3 3 5 5 4 1 3 1 2 1 3 3 2 6 1 6 Ans. Q. 9. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 Sol. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 22 3 2 3 11 8 11 4 3 2 of 11 5 22 3 22 15 11 8 11 4 3 2 22 3 15 22 11 8 4 11 3 2 5 1 1 2 3 2 10 1 3 2 8 2 4 Ans. Q. 10. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W Sol. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W F H I K R S T U V W 36 7 33 10 14 5 7 10 R S T U V W 36 7 33 10 21 10 R S T U V W 36 7 33 10 10 21 36 7 11 7 36 11 7 25 7 3 4 7 Ans. Working : 14 5 7 10 28 7 10 21 10 L N M M M O Q P P P ? Q. 11. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P Sol. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 39 4 13 6 13 3 3 2 7 4 R S T U V W L N M O Q P 39 4 13 6 13 3 13 4 L N M O Q P 39 4 13 6 13 12 L N M O Q P 39 4 39 12 39 4 12 39 3 Ans. Working : 3 2 7 4 6 7 4 13 4 13 3 13 4 52 39 12 13 12 13 6 13 12 26 13 12 39 12 Q. 12. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P Sol. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 Page 3 Q. 4. 19 – [4 + {16 – (12 – 2)}] Sol. 19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}] = 19 – [4 + 6] = 19 – 10 = 9. Ans. Q. 5. 36 – [18 – {14 – (15 – 4 2 × 2)}] Sol. 36 – [18 – {14 – (15 – 4 2 × 2)}] = 36 – [18 – {14 – (15 – 2 × 2)}] = 36 – [18 – {14 – (15 – 4)}] = 36 – [18 – {14 – 11}] = 36 – [18 – 3] = 36 – 15 = 21. Ans. Q. 6. 27 – [18 – {16 – (5 – 4 1)}] Sol. 27 – [18 – {16 – (5 – 4 1)}] = 27 – [18 – {16 – (5 – 3)}] = 27 – [18 – {16 – 2}] = 27 – [18 – 14] = 27 – 4 = 23. Ans. Q. 7. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 Sol. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 24 5 3 5 4 5 3 10 1 5 of 5 1 24 5 3 4 5 3 10 1 5 24 5 1 3 4 5 3 10 1 5 8 5 12 50 1 5 80 12 10 50 92 10 50 82 50 82 2 50 2 41 25 1 16 25 . Ans. Q. 8. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 Points to Remember : 1. Simplifying the expression. For simplifications the given expression, involving brackets, of division, multiplication, addition and subtraction, we proceed according to the letter of these words, i.e., VBODMAS, where V stands for vinculum is bar B for brackets O for of, D for division, M for multiplication, A for addition and S for subtraction. 2. Brackets. There three kinds of brackets: (i) Round brackets or Small brackets ( ) (ii) Curly brackets or Braces { } (iii) Big brackets or Square brackets [ ] While simplifying there backets, we simplify W remove the brackets in the above given order, i.e., firstly ( ), then {} and lastly [ ]. EXERCISE 6 A Simplify : Q. 1. 21 – 12 3 × 2 Sol. 21 – 12 3 × 2 = 21 – 4 × 2 = 21 – 8 = 13. Ans. Q. 2. 16 + 8 4 – 2 × 3 Sol. 16 + 8 4 – 2 × 3 = 16 + 2 – 2 × 3 = 16 + 2 – 6 = 18 – 6 = 12. Ans. Q. 3. 13 – (12 – 6 3) Sol. 13 – (12 – 6 3) = 13 – (12 – 2) = 13 – (10) = 13 – 10 = 3 Ans. Sol. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 F H I K 2 3 4 9 5 3 5 4 1 3 of 3 5 6 4 9 5 3 5 4 1 3 of 3 5 10 9 5 3 5 4 1 3 of 3 5 2 3 5 3 5 4 1 3 2 3 3 5 5 4 1 3 1 2 1 3 3 2 6 1 6 Ans. Q. 9. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 Sol. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 22 3 2 3 11 8 11 4 3 2 of 11 5 22 3 22 15 11 8 11 4 3 2 22 3 15 22 11 8 4 11 3 2 5 1 1 2 3 2 10 1 3 2 8 2 4 Ans. Q. 10. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W Sol. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W F H I K R S T U V W 36 7 33 10 14 5 7 10 R S T U V W 36 7 33 10 21 10 R S T U V W 36 7 33 10 10 21 36 7 11 7 36 11 7 25 7 3 4 7 Ans. Working : 14 5 7 10 28 7 10 21 10 L N M M M O Q P P P ? Q. 11. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P Sol. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 39 4 13 6 13 3 3 2 7 4 R S T U V W L N M O Q P 39 4 13 6 13 3 13 4 L N M O Q P 39 4 13 6 13 12 L N M O Q P 39 4 39 12 39 4 12 39 3 Ans. Working : 3 2 7 4 6 7 4 13 4 13 3 13 4 52 39 12 13 12 13 6 13 12 26 13 12 39 12 Q. 12. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P Sol. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 R S T U V W L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 41 10 5 2 5 6 2 5 3 10 4 15 246 150 50 24 18 16 60 [LCM of 4, 2, 6, 5, 10, 15 = 60] 246 50 16 150 24 18 60 312 192 60 120 60 = 2 Ans. Q. 13. 1 5 6 2 2 3 3 3 4 3 4 5 9 1 2 F H I K R S T U V W L N M O Q P Sol. 1 5 6 2 2 3 3 3 4 3 4 5 9 1 2 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 11 6 8 3 15 4 19 5 19 2 F H I K R S T U V W L N M O Q P 11 6 8 3 15 4 19 5 2 19 R S T U V W L N M O Q P 11 6 8 3 15 4 2 5 L N M O Q P 11 6 8 3 3 2 11 6 8 3 3 2 11 16 9 6 27 9 6 18 6 = 3 Ans. Q. 14. 4 4 5 2 1 5 1 2 1 1 4 1 4 1 5 F H G I K J R S T U V W Sol. 4 4 5 2 1 5 1 2 1 1 4 1 4 1 5 F H G I K J R S T U V W F H G I K J R S T U V W 24 5 11 5 1 2 5 4 1 4 1 5 F H I K R S T U V W 24 5 11 5 1 2 5 4 1 4 1 5 R S T U V W 24 5 11 5 1 2 24 20 R S T U V W 24 5 11 5 3 5 24 5 8 5 24 5 5 8 = 3 Ans. Q. 15. 7 1 2 2 1 4 1 1 4 1 2 3 2 1 3 1 6 F H G I K J R S T U V W L N M M O Q P P Sol. 7 1 2 2 1 4 1 1 4 1 2 3 2 1 3 1 6 F H G I K J R S T U V W L N M M O Q P P F H I K R S T U V W L N M O Q P 15 2 9 4 5 4 1 2 3 2 1 3 1 6 R S T U V W L N M O Q P 15 2 9 4 5 4 1 2 4 3 R S T U V W L N M O Q P 15 2 9 4 5 4 2 3 L N M O Q P 15 2 9 4 7 12 L N M O Q P 15 2 9 4 12 7 15 2 27 7 105 54 14 51 14 3 9 14 Ans. EXERCISE 6 B Mark ( ) against the correct answer in each of the following : 1. 8 + 4 2 × 5 = ? (a) 30 (b) 50 (c) 18 (d) none of these Sol. (c) . . . 8 + 4 2 × 5 8 4 1 2 5 = 8 + 10 = 18. Page 4 Q. 4. 19 – [4 + {16 – (12 – 2)}] Sol. 19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}] = 19 – [4 + 6] = 19 – 10 = 9. Ans. Q. 5. 36 – [18 – {14 – (15 – 4 2 × 2)}] Sol. 36 – [18 – {14 – (15 – 4 2 × 2)}] = 36 – [18 – {14 – (15 – 2 × 2)}] = 36 – [18 – {14 – (15 – 4)}] = 36 – [18 – {14 – 11}] = 36 – [18 – 3] = 36 – 15 = 21. Ans. Q. 6. 27 – [18 – {16 – (5 – 4 1)}] Sol. 27 – [18 – {16 – (5 – 4 1)}] = 27 – [18 – {16 – (5 – 3)}] = 27 – [18 – {16 – 2}] = 27 – [18 – 14] = 27 – 4 = 23. Ans. Q. 7. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 Sol. 4 4 5 3 5 3 10 1 5 of 5 + 4 5 24 5 3 5 4 5 3 10 1 5 of 5 1 24 5 3 4 5 3 10 1 5 24 5 1 3 4 5 3 10 1 5 8 5 12 50 1 5 80 12 10 50 92 10 50 82 50 82 2 50 2 41 25 1 16 25 . Ans. Q. 8. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 Points to Remember : 1. Simplifying the expression. For simplifications the given expression, involving brackets, of division, multiplication, addition and subtraction, we proceed according to the letter of these words, i.e., VBODMAS, where V stands for vinculum is bar B for brackets O for of, D for division, M for multiplication, A for addition and S for subtraction. 2. Brackets. There three kinds of brackets: (i) Round brackets or Small brackets ( ) (ii) Curly brackets or Braces { } (iii) Big brackets or Square brackets [ ] While simplifying there backets, we simplify W remove the brackets in the above given order, i.e., firstly ( ), then {} and lastly [ ]. EXERCISE 6 A Simplify : Q. 1. 21 – 12 3 × 2 Sol. 21 – 12 3 × 2 = 21 – 4 × 2 = 21 – 8 = 13. Ans. Q. 2. 16 + 8 4 – 2 × 3 Sol. 16 + 8 4 – 2 × 3 = 16 + 2 – 2 × 3 = 16 + 2 – 6 = 18 – 6 = 12. Ans. Q. 3. 13 – (12 – 6 3) Sol. 13 – (12 – 6 3) = 13 – (12 – 2) = 13 – (10) = 13 – 10 = 3 Ans. Sol. 2 3 4 9 1 2 3 1 1 4 1 3 F H I K of 3 5 F H I K 2 3 4 9 5 3 5 4 1 3 of 3 5 6 4 9 5 3 5 4 1 3 of 3 5 10 9 5 3 5 4 1 3 of 3 5 2 3 5 3 5 4 1 3 2 3 3 5 5 4 1 3 1 2 1 3 3 2 6 1 6 Ans. Q. 9. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 Sol. 7 1 3 2 3 1 3 8 2 3 4 1 1 2 of 2 1 5 22 3 2 3 11 8 11 4 3 2 of 11 5 22 3 22 15 11 8 11 4 3 2 22 3 15 22 11 8 4 11 3 2 5 1 1 2 3 2 10 1 3 2 8 2 4 Ans. Q. 10. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W Sol. 5 1 7 3 3 10 2 4 5 7 10 F H I K R S T U V W F H I K R S T U V W 36 7 33 10 14 5 7 10 R S T U V W 36 7 33 10 21 10 R S T U V W 36 7 33 10 10 21 36 7 11 7 36 11 7 25 7 3 4 7 Ans. Working : 14 5 7 10 28 7 10 21 10 L N M M M O Q P P P ? Q. 11. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P Sol. 9 3 4 2 1 6 4 1 3 1 1 2 1 3 4 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 39 4 13 6 13 3 3 2 7 4 R S T U V W L N M O Q P 39 4 13 6 13 3 13 4 L N M O Q P 39 4 13 6 13 12 L N M O Q P 39 4 39 12 39 4 12 39 3 Ans. Working : 3 2 7 4 6 7 4 13 4 13 3 13 4 52 39 12 13 12 13 6 13 12 26 13 12 39 12 Q. 12. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P Sol. 4 1 10 2 1 2 5 6 2 5 3 10 4 15 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 R S T U V W L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 L N M O Q P 41 10 5 2 5 6 2 5 3 10 4 15 41 10 5 2 5 6 2 5 3 10 4 15 246 150 50 24 18 16 60 [LCM of 4, 2, 6, 5, 10, 15 = 60] 246 50 16 150 24 18 60 312 192 60 120 60 = 2 Ans. Q. 13. 1 5 6 2 2 3 3 3 4 3 4 5 9 1 2 F H I K R S T U V W L N M O Q P Sol. 1 5 6 2 2 3 3 3 4 3 4 5 9 1 2 F H I K R S T U V W L N M O Q P F H I K R S T U V W L N M O Q P 11 6 8 3 15 4 19 5 19 2 F H I K R S T U V W L N M O Q P 11 6 8 3 15 4 19 5 2 19 R S T U V W L N M O Q P 11 6 8 3 15 4 2 5 L N M O Q P 11 6 8 3 3 2 11 6 8 3 3 2 11 16 9 6 27 9 6 18 6 = 3 Ans. Q. 14. 4 4 5 2 1 5 1 2 1 1 4 1 4 1 5 F H G I K J R S T U V W Sol. 4 4 5 2 1 5 1 2 1 1 4 1 4 1 5 F H G I K J R S T U V W F H G I K J R S T U V W 24 5 11 5 1 2 5 4 1 4 1 5 F H I K R S T U V W 24 5 11 5 1 2 5 4 1 4 1 5 R S T U V W 24 5 11 5 1 2 24 20 R S T U V W 24 5 11 5 3 5 24 5 8 5 24 5 5 8 = 3 Ans. Q. 15. 7 1 2 2 1 4 1 1 4 1 2 3 2 1 3 1 6 F H G I K J R S T U V W L N M M O Q P P Sol. 7 1 2 2 1 4 1 1 4 1 2 3 2 1 3 1 6 F H G I K J R S T U V W L N M M O Q P P F H I K R S T U V W L N M O Q P 15 2 9 4 5 4 1 2 3 2 1 3 1 6 R S T U V W L N M O Q P 15 2 9 4 5 4 1 2 4 3 R S T U V W L N M O Q P 15 2 9 4 5 4 2 3 L N M O Q P 15 2 9 4 7 12 L N M O Q P 15 2 9 4 12 7 15 2 27 7 105 54 14 51 14 3 9 14 Ans. EXERCISE 6 B Mark ( ) against the correct answer in each of the following : 1. 8 + 4 2 × 5 = ? (a) 30 (b) 50 (c) 18 (d) none of these Sol. (c) . . . 8 + 4 2 × 5 8 4 1 2 5 = 8 + 10 = 18. 2. 54 3 of 6 + 9 = ? (a) 117 (b) 12 (c) 6 5 (d) none of these Sol. (b) . . . 54 3 of 6 + 9 = 54 18 + 9 54 1 18 9 = 3 + 9 = 12. 3. 13 – (12 – 6 3) = ? (a) 11 (b) 3 (c) 7 3 (d) none of these (b) . . . 13 – (12 – 6 3) = 13 – (12 – 2) = 13 – 10 = 3. 4. 1001 11 of 13 = ? (a) 7 (b) 1183 (c) 847 (d) none of these Sol. (a) . . . 1001 11 of 13 = 1001 143 1001 1 143 7 . 5. 133 + 28 7 – 8 × 2 = ? (a) 7 (b) 121 (c) 30 (d) none of these Sol. (b) . . . 133 + 28 7 – 8 × 2 = 133 + 4 – 16 = 137 – 16 = 121. 6. 3640 – 14 7 × 2 = ? (a) 3636 (b) 1036 (c) 1819 (d) none of these Sol. (a) . . . 3640 – 14 7 × 2 = 3640 – 2 × 2 = 3640 – 4 = 3636. 7. 100 × 10 – 100 + 2000 + 100 = ? (a) 29 (b) 920 (c) none of these Sol. (b) . . . 100 × 10 – 100 + 2000 100 = 1000 – 100 + 20 = 920. 8. 27 – [18 – {16 – (5 – 4 1)] = ? (a) 25 (b) 23 (c) none of these Sol. (b) . . . 27 – [18 – {16 – (5 – 4 1)}] = 27 – [18 – {16 – (5 – 4 + 1)}] = 27 – [18 – {16 – 5 + 4 – 1}] = 27 – [18 – 16 + 5 – 4 + 1] = 27 – 18 + 16 – 5 + 4 – 1 = 23 9. 32 – [48 {36 – (27 – 16 9 )}] = ? (a) 29 (b) 520 17 (c) none of these Sol. (a) . . . 32 – [48 {36 – (27 – 16 9 )}] = 32 – [48 {36 – (27 – 16 + 9)}] = 32 – [48 {36 – 27 + 16 – 9}] = 32 – [48 16] = 32 – 3 = 29 10. 8 – [28 {34 – (36 – 18 9 × 8)}] = ? (a) 6 (b) 6 4 9 (c) none of these Sol. (a) . . . 8 – [28 {34 – (36 – 18 9 × 8)}] F H G I K J R S T U V W L N M M O Q P P 8 28 34 36 18 1 9 8 = 8 – [28 {34 – (36 – 16)}] = 8 – [28 {34 – 20}] = 8 – {28 14} = 8 – 2 = 6.Read More

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