Test: Simplification- 2 - SSC MTS / SSC GD MCQ

• To solve 4789300 x 11, we can break it down.
• First, multiply 4789300 by 10, which gives 47893000.
• Next, add 4789300 to that result (because 11 is 10 + 1).
• So, 47893000 + 4789300 = 52682300.
• The correct answer is 52682300, which is option 1.

To solve the expression:

Step 1: Convert the mixed fraction to a decimal.

6 ¹⁄₄   = 6.25)

Now, substitute (6.25) into the expression:

Expression: (6.25 + 0.25 + 0.75 - 0.3125)

Step 2: Calculate each operation:

• (6.25 + 0.25 = 6.5)
• (6.5 + 0.75 = 7.25)
• (7.25 - 0.3125 = 6.9375)

Answer: a) 6.9375

Given equation:
√169 × 256 = (?)² × 13
Step 1: Calculate the square root of 169
√169 = 13
Substitute this value back into the equation:
13 × 256 = (?)² × 13

Step 2: Divide both sides by 13
256 = (?)²

Step 3: Solve for ( ? )
Taking the square root of both sides:
? = √256 = 16

The answer is: d) 16

The correct option is C.
(7*x)^2/49 = _/81
⇒ 49*x^2/49 = _/81
⇒ x² = _/81
⇒ x² = 9
⇒ x = 3

Given,

2³ × 3⁴ × 1080 ÷ 15 = 6^x

⇒ 2³ × 3⁴ × 72 = 6^x

⇒ 2³ × 3⁴ × (2 × 6²) = 6^x

⇒ 2⁴ × 3⁴ × 6² = 6^x

⇒ (2 × 3)⁴ × 6² = 6^x           [∵ x^m × y^m = (xy)^m]

⇒ 6⁴ × 6² = 6^x

⇒ 6^{(4 + 2)} = 6^x

⇒ x = 6

1. Start with the innermost part: 111 + 111 × 111

   111×111=12321
   111+12321=12432

2. Next, calculate 111÷12432, which is approximately 0 since 12432 is much larger than 111.

3. Substitute back into the expression:

   111−[111+{111×0}] = 111−[111+0] = 111−111 = 0

Answer: 0 (Option a)

x=
x²=380+x
x²-x-380=0
(x-20)(x+19)
 

The correct answer is B as the unit place will be 7 only .

321 raised to 321=1 in unit digit and any number ending in 5 raised to any number has always 5 as unit digit, so 1×5=5