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Number System

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

2410
2678
2367
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

81
42
24
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

7
8
10
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

Number System
(4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ?

30.52
27.54
28.56
29.81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8)   = 70.84 - 40.32   = 30.52

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

640
775
750
725

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

Number System
ind the number, difference between number and its 3/5 is 50

123
124
120
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number = x,Then, x-(3/5)x = 50,=> (2/5)x = 50 => 2x = 50*5,=> x = 125

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