Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/5 3/10 5/4 4/5 3/5 3/10 5/4 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System How many words can be made using the letters of the word "BHAG WADGITA" if all the vowels come together and all the consonants come together ? 10160 30160 40160 20160 10160 30160 40160 20160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of words = l2 l4 l7 / l3 l2 = 20160
Number System In how many different ways can the letters of the word FORMULATE be arranged ? 392880 382880 362880 372880 392880 382880 362880 372880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 162 141 188 245 162 141 188 245 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 The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ? Rs. 830 Rs. 820 Rs. 800 Rs. 810 Rs. 830 Rs. 820 Rs. 800 Rs. 810 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29 + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810
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 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
EXAMIANS