Cognizant Mathematical Orders Quiz – 1

Correct option A

Solution:

(49)^{3} \div (343)^{3} \times (2401)^ {2} = 7^{x}

\frac{49\times 49\times 49}{343\times 343 \times 343} \times (2401)^ {2} = 7^{x}

\frac{1}{7\times 7 \times 7} \times (2401)^ {2} = 7^{x}

\frac{2401 \times 2401}{7\times 7 \times 7}  = 7^{x}

343 \times 49 = 7^{x}

7^{3} \times 7^{2} = 7^{x}

7^{3+2} = 7^{x}

7^{5} = 7^{x}

x = 5

Correct option C

Solution:

23% of 1840 + 24% 0f 1260 = x

\frac{23}{100} \times 1840 + \frac{24}{100} \times 1260 = x

423.2 + 302.4 = x

x = 725.6

Correct option A

Solution:

(9.96)^{3} – (25.6)^{2} + (2.9)^{5}= x

These values can be written as

(10)^{3} – (26)^{2} + (3)^{5} = x

1000-676 + 243 = x

1000-919 = x

x = 81

We have calculated the round of value. Therefore, the option will lie near 81. Out of all the option A is near the value 81.

Correct option B

Solution: 1725 + 218 = 1943

Correct option D

Solution: 144 + 225 – x = 576

369 – x = 576

x = 576 – 369

x = 207

Correct option C

Solution: 8+ \frac{7}{2}= 22.5

Correct answer: Option iii

Explanation: According to BODMAS rule,

First, we will solve the bracket (5+7) = 12,

Then, Square = 3^{2} = 9

4+12-9 = 7

Correct answer: Option i

Explanation: According to BODMAS rule,

First, we will solve the division numerals 300\div 154 = 1.94,

Then, multiplication 182 \times 1.94= 353.08


Then addition 353.08+342 = 695.08

Correct answer: Option iii

Explanation: According to the BODMAS rule,

First of all, we start from solving brackets (1223+343) = 1566,

Then, Division 246 ÷ 15666 = 0.157


Then, Subtraction 130 - 0.157 = 129.843

 

Correct answer: Option ii

Explanation: According to the BODMAS rule,

First of all, we start solving brackets (104+208) = 312

Then square , 4*4 = 16

Then division, 556÷16 = 34.75

Then addition -34.75 +10 = -24.75

Then subtraction = 312-24.75= 287.25