Number System A number exceeds by 25 from its 3/8 part. Then the number is? 39 32 35 40 39 32 35 40 ANSWER DOWNLOAD EXAMIANS APP
Number System In how many different ways can the letters of the word FORMULATE be arranged ? 372880 382880 392880 362880 372880 382880 392880 362880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 7 10 9 8 7 10 9 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 141 245 162 188 141 245 162 188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? 39/340 45/340 58/340 51/340 39/340 45/340 58/340 51/340 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 4 + 6 + 7 = 17∴ n(S) = 17C1 = 680Two red balls can be selected from four red balls in 4C2 = 6 ways.and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.∴ P (E) = 13x6/680 = 39/340
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 5 11 3 7 5 11 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7