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Number System

Number System
The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers?

171
168
170
169

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

Number System
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
118
116
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

29
Cannot be determined
92
70

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

Number System
I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0

if x < y
if x > y
if x >= y
if x <= y

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2

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
In how many different ways can the letters of the word 'DETERMINE' be arranged ?

60480
61480
62480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

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