# Series/Addition/Subtraction
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
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*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
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
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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