Number System (164 x 175) x ? = 258300 2 11 9 5 2 11 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 258300 / 164 x 175 = 9
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 116 124 112 120 116 124 112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 2360 6460 3260 3360 2360 6460 3260 3360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 24 27 21 36 24 27 21 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 6 1 Nothing can be said. 4 6 1 Nothing can be said. 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
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 ? 5/9 4/9 6/9 3/9 5/9 4/9 6/9 3/9 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
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