# Tricks to Solve Simplification - Addition and 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✘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

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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1. Thank u..

2. Jaspreet Singh DhaliwalJune 23, 2015 at 3:01 PM

SIR this is showing me invalid login

3. sir 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.

4. it was 33 mis-spelt 27

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6. Saikam Rama Krishna ReddyJune 23, 2015 at 4:00 PM

please explain second problem...

7. Try now through this diagram

8. Thanks sir

9. Very nice share thnxx a lot

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11. < thanks >

12. Is it for Manipal School Course !!

13. Sir, please explain problem no. 6?

14. Anshul SrivastavJune 23, 2015 at 9:26 PM

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

15. Anshul SrivastavJune 23, 2015 at 9:37 PM

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

16. Please Explain this trick

17. 1/(1*2)+1/(2*3)+1/(3*4)+1(5*6)+1/(6*7)+1/(7*8)
SO 1/1(1-1/8) =7/8 (1/8) is last numbe

18. 1/(1*2)+1/(2*3)+1/(3*4)+1(5*6)+1/(6*7)+1/(7*8)
difference (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

19. At what ratio must water be added to milk to gain 25% by selling it at cost price? Plzz explain it.

20. At what ratio must water be added to milk to gain 25% by selling it at cost price? Plzz explain it.

21. invalid login showing..:( i applied for executive post

22. 2+22+2222
2*1234=2468
2468-222=2246

23. Q2 ) Ans None of these crct ans i guess 11009.8889????

24. Q2. Find 9.4 + 99.44 + 999.444 + 9999.4444 ? can u explain this Q??? with A???

25. Sir,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...

26. How to solve this:
4+44+444+44444=?

27. Mayuri ChawrekarJune 25, 2015 at 2:00 PM

can any 1 xplain me the trick of this ques:

28. Mayuri ChawrekarJune 25, 2015 at 2:15 PM

4(12345)-4444=44936
44936 is the ans.

29. Mayuri ChawrekarJune 25, 2015 at 2:33 PM

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...

30. Sol 8 is correct plz check again

31. Examples are simple .So it can help you in questions.
Now second question is just like this:
2+22+2222
2*1234=2468
2468-222=2246

32. Mayuri ChawrekarJune 25, 2015 at 7:31 PM

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..

33. Thanx :)

34. Mayuri ChawrekarJune 26, 2015 at 3:04 PM

oh:), u r welcome, mini:).

35. Sir 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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