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Tricks to Solve Simplification - Addition and Subtraction

# Series/Addition/Subtraction

Series of Addition of 4
Q1 Find 8 + 888 + 8888 + 88888 ?


a) 97760 b) 98572 c) 98672 d) 97672 e) None of the above

Q2. Find 9.4 + 99.44 + 999.444 + 9999.4444 ?

a) 11207.728 b) 11107.728 c) 11106.728 d) 11111.728 e) None of these

Equation with Algebra Formulas

Other Algebra Formulas
Q3. ( 2.3 + 3.3 ) [ ( 2.3)2 - 2.3✘3.3 + (3.3)2 ] = ?

a) 48.104 b) 47.104 c) 47.204 d) 48.204 e) None of these

Q4. (3-2) [(3)4+((3)3✘2)+(3)2✘(2)2+(3✘23)+24] = ?

a) 311 b) 211 c) 201 c) 221 d) 301 e) None of these

Q5. (125.824+124.654)2 + (125.824-124.54)2 / ((125.824)2+(124.54)2)

a) 1.166 b) 1 b) 2 c) 625 d) 250.478 e) None of these




Fraction

Q6. Evaluate 1 +  1/1*3 + 1/1*3*9 + 1/1*3*9*271/1*3*9*27*81 up to three places of decimals ? 

a)1.367 b) 1.370 c) 1.361 d) 1.267 e) None of these

Q7. 2 ÷ [2+ 2÷{2+2 ÷ 4)}]= x / 19. Find x.

a) 3 b) 4 c) 5 d) 6 e) None of these
a) 0.67 b) 0.77 c) 0.87 d) 0.97 e) None of these

Q9) Find the sum of all even natural numbers less than 75.

a) 1416 b) 1426 c) 1396 d) 1406 e) None of these




Solution:

(1)
Sol : Option (c)
8*(12345) - 88 = 98672

(2)
Sol: Option (b)
9(1234) = 11106
 4(4321) = 17284
=1.7284
=11106+1.7284=11107.7284

(3)

Sol: Option (a)
(a3 + b3)=(a+b) (a2-ab+b2)
a = 2.3, b = 3.3;
(a)3 = 12.167, (b)3 = 35.937 (a3+b3)=48.104

(4)
Sol: option (b)
(a5-b5)=(a-b) [a4+a3b+a2b2+ab3+b4] = ?
a = 3, b = 2; (3)5=243, (2)5 =32;
(a5-b5) = 243-32= 211

(5)
Sol: Option (b)
(a+b)2 + (a-b)2=2((a)2+(b)2) Hence Answer is 2

(6)
Sol: Option (a)
1+0.33+0.0370 ... hence (a) is the answer no further addition is required.

(7)
Sol: option (e)
Using VODMAS method
Step 1. [ 2+ 2/4 ] = 5/2.
Step 2. ( 2 + 2 ÷5/2) = 2÷ 2✘2/5 =14/5
Step 3. [2+2÷14/5]=2+2*5/14=19/7
Step 4. L.H.S = 2÷19/7=14/19 = x/19 Hence x=19

(8)

Sol: Option (c)
= -4 + 0.45 + 2 + <sup>927-9</sup>/<sub>990</sub> +6/9
= -4 + 0.45 + 2 + <sup>918</sup>/990 +3/2
= (- 4 + 2) + (0.45+1.5) + (<sup>51</sup>/55)
= -2 + 1.95 + 0.92  = 0.87

(9)
Sol: Option (d)
sum= 2 + 4 + 6 + ...+74 a=2 , d=(4-2)=2,l=74 n=37; sum= n/2 (a+l) 37/2✘(2+74)=(37✘38) =37✘(40-2) =(37✘40)-(37✘2) =(1480-74)=1406

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