### # 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 + 99.44 + 999.444 + 9999.4444 ?**

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

**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✘2^{3})+2^{4}] = ?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

**Q6. Evaluate 1 +**

^{ 1}/_{1*3}+^{ 1}/_{1*3*9}+^{ 1}/_{1*3*9*27}+^{1}/_{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)

(3)

Sol: Option (a)

(a

^{3}+ b

^{3})=(a+b) (a

^{2}-ab+b

^{2})

a = 2.3, b = 3.3;

(a)

^{3}= 12.167, (b)

^{3}= 35.937 (a

^{3}+b

^{3})=48.104

**(4)**

Sol: option (b)

(a

^{5}-b

^{5})=(a-b) [a

^{4}+a

^{3}b+a

^{2}b

^{2}+ab

^{3}+b

^{4}] = ?

a = 3, b = 2; (3)5=243, (2)5 =32;

(a

^{5}-b

^{5}) = 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)

(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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Thank u..

ReplyDeleteSIR this is showing me invalid login

ReplyDeletesir in question no 3, i think you have calculated wrongly.cube of 2.7 is 19.683, and above sums also solved wrongly pls check and update.

ReplyDeleteit was 33 mis-spelt 27

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ReplyDeleteSir, please explain problem no. 6?

ReplyDeleteIn question 1 why am getting 10760 instead of 98762 using same method

ReplyDeleteY m getting 10760 instead of 98672 in question 1 using same method as given in frst example

ReplyDeletePlease Explain this trick

ReplyDelete1/(1*2)+1/(2*3)+1/(3*4)+1(5*6)+1/(6*7)+1/(7*8)

ReplyDeleteSO 1/1(1-1/8) =7/8 (1/8) is last numbe

1/(1*2)+1/(2*3)+1/(3*4)+1(5*6)+1/(6*7)+1/(7*8)

ReplyDeletedifference (2-1=1, 3-2=1 ,4-3=1 and so on.. and last number is 1/8

SO 1/1(1-1/8) =7/8

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ReplyDelete..

ReplyDelete2+22+2222

ReplyDelete2*1234=2468

2468-222=2246

edited now!

ReplyDeleteQ2 ) Ans None of these crct ans i guess 11009.8889????

ReplyDeleteQ2. Find 9.4 + 99.44 + 999.444 + 9999.4444 ? can u explain this Q??? with A???

ReplyDeleteSir,In que 1.,why u subtract 88,while in example u didn't......and in same que 88 is not given by u so why u count it as 2 and multiply with 8...

ReplyDeleteHow to solve this:

ReplyDelete4+44+444+44444=?

can any 1 xplain me the trick of this ques:

ReplyDelete4(12345)-4444=44936

ReplyDelete44936 is the ans.

in the sol of que no 8, 0.6 bar is written as 3/2, while it should be 2/3, due to which the ans is wrong... plz update...

ReplyDeleteSol 8 is correct plz check again

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ReplyDeleteExamples are simple .So it can help you in questions.

ReplyDeleteNow second question is just like this:

2+22+2222

2*1234=2468

2468-222=2246

I'm getting my ans as around 0.5... I checked ur sol in which I found that 6/9 is written as 3/2 while it should be 2/3.... due to which ur ans is 0.87... which I find is wrong..

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ReplyDeleteSir ji kindly explain 1+1/1*3+1/1*3*9+1/1*3*9*27+1/1*3*9*27*81

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