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Number System

Number System
In how many different ways can the letters of word 'BIOLOGY' be arranged ?

2520
2410
2367
2678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?

180
140
160
240

ANSWER DOWNLOAD EXAMIANS APP

Number System
Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is

56
44
72
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

72

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

3/9
5/9
4/9
6/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

11
5
3
0

ANSWER DOWNLOAD EXAMIANS APP

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

146
124
179
163

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

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