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43% of 616.6 + 37% of 217 =?

A) 345.428	B) 354.428
C) 344.428	D) 364.428

A) 345.428

B) 354.428

C) 344.428

D) 364.428

Answer & Explanation Answer: A) 345.428

Explanation:

43 x 616.6/100 + 37 x 217/100

=> 265.138 + 80.29

=> 345.428

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

$142^{2} \div \sqrt{1260.25} = ?$

A) 586	B) 578
C) 568	D) 566

A) 586

B) 578

C) 568

D) 566

Answer & Explanation Answer: C) 568

Explanation:

$142 x 142 x \frac{1}{\sqrt{1260.25}}$

=> $142 x 142 x \frac{1}{35.5} = 568$

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Filed Under: Simplification
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

$\frac{23 x 12 + 49 x 15}{31^{2} + 50} = ?$

A) 0.5	B) 1
C) 2	D) 3

A) 0.5

B) 1

C) 2

D) 3

Answer & Explanation Answer: B) 1

Explanation:

$\frac{276 + 35}{961 + 50} = \frac{1011}{1011} = 1$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

$\frac{7}{8} o f 448 + \frac{6}{7} o f 3374 = ?$

A) 3084	B) 3184
C) 3584	D) None of these

A) 3084

B) 3184

C) 3584

D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

$\frac{7}{8} x 448 + \frac{6}{7} x 3374 = > 392 + 2892 = > 3284$

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Filed Under: Simplification
Exam Prep: CAT , Bank Exams , AIEEE
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$2660 o f \frac{1}{7} o f \frac{1}{2} o f \frac{1}{9.5} o f \frac{1}{2} = ?$

A) 1	B) 10
C) 0.1	D) 100

A) 1

B) 10

C) 0.1

D) 100

Answer & Explanation Answer: B) 10

Explanation:

$\frac{1}{7} x \frac{1}{2} x \frac{1}{9.5} x \frac{1}{2} x 2660 = \frac{2660}{266} = 10$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
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If a+b+c =21 what is the total number of positive integral solutions?

A) 109	B) 190
C) 901	D) 910

A) 109

B) 190

C) 901

D) 910

Answer & Explanation Answer: B) 190

Explanation:

Number of positive integral solutions = $n - 1_{C_{r - 1}}$ = ${}^{20}C_{2}$ = 190

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
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If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123	B) 253
C) 321	D) 231

A) 123

B) 253

C) 321

D) 231

Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions = $n + r - 1 C_{r - 1} = {}^{23}C_{2}$ = 253

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
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The least value of the expression $2 l o g_{10} (x) - l o g_{x} (\frac{1}{100})$ for x>1 is:

A) 2	B) 3
C) 4	D) 5

A) 2

B) 3

C) 4

D) 5

Answer & Explanation Answer: C) 4

Explanation:

Hence the least value of is 4

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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