Tricks to Solve Simplification - Addition and Subtraction

June 23, 2015    

# 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) 1107.728 c) 1106.728 d) 1111.728 e) None of these

Equation with Algebra Formulas
Other Algebra Formulas
Q3. ( 2.3 + 2.7 ) [ ( 2.3)2 - 2.3✘2.7 + (2.7)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
Other Fraction Examples
Q6. Evaluate 1+ 1/1*3 + 1/1*3*9 + 1/1*3*9*27 +1/1*3*9*27*81 up to four places of decimals ? 
a)0.370 b) 0.0270 c) 0.0360 d) 0.0260 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=1107.7284

(3)

Sol: Option (a)
(a3 + b3)=(a+b) (a2-ab+b2)
a = 2.3, b = 2.7;
(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 + 918/990 +3/2 = (- 4 + 2) + (0.45+1.5) + 51/55 = -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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Tricks to Solve Simplification - Addition and Subtraction 4.5 5 Yateendra sahu June 23, 2015 # Series/Addition/Subtraction Q1 Find 8 + 888 + 8888 + 88888 ? a) 97760 b) 98572 c) 98672 d) 97672 e) None of the above Q2. Find 9.4 +...


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