This Section Contains, Total 15 Questions, and 10 Minutes, You can Solve By Normal BODMAS rule.
Q(1 –10) what should come in place of question mark (?) in the following questions: –
1. 1777 – 2349 – 1345 + 6523 = ?
A) 4706 B) 4606 C) 4976 D) 4176 E) 5276 (Digital Root Method)
Lets solve by DR Method (Digital Root)
Let (1+7+7+7) - (2+3+4+9) - (1+3+4+5) + (6+5+2+3) = x
now (22) - (18) - (13) + (16) = x
now again Digital Root to Single Root
4 - 9 - 4 + 7 = x
so, 9+7 = x ( U can see, There is no value for 9 in digital root)
7 = x (Digital Root of above Equation is 7)
Now Check the Options
A) 4+7+0+6 = 17 = 8 (not match)
B) 4+6+0+6 = 16 = 7 (Match with digital root of x)
C) 3+9+7+6 = 17 = 8 (Not match)
D) 5+2+7+6 = 20 = 2 (Not Match)
So, B) is the right Answer
Similarly You can solve Below Problems
3. 2387 – 123 + 980 = ? – 145 + 945
A) 2244 B) 2434 C) 2444 D) 2354 E) 2544 (Digital Root Method)
2+3+8+7 - 1+2+3 + 9+8+0 = ? - 1+4+5 + 9+4+5
2 - 6 +8 = ? - 1 + 9
4 = ? +8
4 -8 = ?
-4 = ?
(If your final Digital is in Negative Add "9'' to it to make it positive)
So, 9-4 = ?
5 = ?
Now Find out the Digital Root of All the Options, if any option whose digital root is exactly "7" that is the Answer
A) 2+2+4+4 = 12 = 3
B) 2+4+3+4 = 13 = 4
C) 2+4+4+4 = 14 = 5 (Match) Exactly
D) 2+5+4+4 = 15 = 6
4. 1.96*1.96 + 1.04*1.04 – 2.08*1.96 = ?
A) 0.7464 B) 0.8464 C) 0.9464 D) 0.8262 E) none of these (Digital Root Method)
Now Lets Do it Without Pen / Paper
the Digital Root of Above Equation is as follows
(Note : Wherever the "9" comes in Digital Root just neglect it)
Now, 7*7 + 5*5 - 1*7 = 49 + 25 - 7 = 4 + 7 - 7 = X, now final Digital Root x = 4
Match with Options
(neglect the Decimal Points)
A) 7+4+6+4 = 21 = 3 (Not Match)
B) 8+4+6+4 = 22 = 4 (Match)
C) 9+4+6+4 = 23 = 5 (Not Match)
D) 8+2+6+2 = 18 = 9 (not Match)
So, B) is the Right Choice
5. 41% of 801 – 150.17 = ? – 57% of 910 (Approximation method)
A) 693 B) 694 C) 697 D) 707 E) none of these
You Can't Apply Digital Root For Approximations, you can do it by Normal Method
7. 5016 x 1001 - 333x77+22 = ? x 11 (Digital Root Method)
a. 435570 b. 454127 c, 527240 d. 366531 e. 511990
Now according to Digital Root Method
The Digital Root of above Equation is
6 - 9 + 4 = x * 2
1 = x * 2 (Just Neglect 9)
Now we have to Make LHS = RHS, by suitable "x'' value putting from 1 to 9)
So, If we Substitute X = 5
We get 1 = 5 * 2
1 = 10
1 = 1
SO, Clearly the Digital Root of above Equation is 5 (as X = 5)
Now Find out the digital root of given options
A) 4+3+5+5+7+0 = 24 = 6
B) 4+5+4+1+2+7 = 5 (Match)
C) 5+2+7+2+4+0 = 20 = 2
D) 3+6+6+5+3+1 = 6
E) 5+1+1+9+9+0 = 7
8. (31% of 260) x ? = 12896 (Digital Root Method)
a. 150 b. 140 c. 160 d. 180 e. 170
9. 416 x ? x 8 = 59904 (Digital Root Method)
a. 17 b. 12 c. 21 d. 15 e. 18
10. 12.8% of 8800 - 16.4% of 5550 = 20% of ? (Digital Root Method)
a. 964 b. 996 c. 1004 d. 1081 e. 1124
11. 14 x 18.6 /12 + 19.3 = ?
a. 41 b. 33.5 c. 291.9 d. 8.32 e. 65.50
12. 53% of 120 + 25% of 862 = ?% of 500 (Digital Root Method)
a. 42.50 b. 55.82 c. 63.68 d. 38.89 e. 82.65
13. 2567 / 17 x 3 = ? + 180 (Digital Root Method)
a. 51 b. 271 c. 273 d. 73 e. 141
14. 7.5% of 140 + 2.5% of 80 = ? (Digital Root Method)
a. 125 b. 18.5 c. 145 d. 14.5 e. 12.5
15. 135% of 342 - 342% of 13.5 = ? (Digital Root Method)
a. 411.13 b. 412.23 c. 413.33 d. 414.43 e. 415.53
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