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Number System

Number System
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number

24
18
None
32

ANSWER DOWNLOAD EXAMIANS APP

Number System
What should come in place of the question mark (?) in the given number series ? 888, 888, 444, 148, ?, 7.4

39
38
37
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the missing number.Then888/888 = 1,888/444 = 2,444/148 = 3,148/x = 4= x = 148/4 = 37  and 37/7.4 = 5

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

211
215
221
239

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

85
80
83
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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

12
8
16
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

207
219
187
197

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.

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