Q.6175·Miscellaneous·2019·EasyIf the length of the hypotenuse of a right angled triangle is 10 cm, then what is the maximum area of such a right angled triangle?View question
Q.6177·Miscellaneous·2019·EasyConsider the following statements: 1. √75 is a rational number. 2. There exists at least a positive integer x such that (4x – 7)/5 < 8 3. (x – 2)/x < 1 for all real values of x. 4. 4·232323... can be expressed in the form p/q where p and q are integers. Which of the above statements are correct?View question
Q.6178·Miscellaneous·2019·EasyWhat is the ratio of the area of a square inscribed in a semicircle of radius r to the area of square inscribed in a circle of radius r?View question
Q.6179·Miscellaneous·2019·EasyHow many pairs of natural numbers are there such that the difference of their squares is 35 ?View question
Q.6180·Miscellaneous·2019·EasyConsider the following statements: 1. If p is relatively prime to each of q and r, then p is relatively prime to the product qr. 2. If p divides the product qr and if p divides q, then p must divide r. Which of the above statements is/are correct?View question
Q.6181·Miscellaneous·2019·EasyRadha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them?View question
Q.6182·Miscellaneous·2019·EasyLet x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15 divides x, the remainder is 5. Which one of the following is correct?View question
Q.6183·Miscellaneous·2019·EasyTwo taps X and Y are fixed to a water tank. If only X is opened, it drains out the full tank of water in 20 minutes. If both X and Y are opened, then they drain out the full tank of water in 15 minutes. If only Y is opened, how long does it take to drain out the full tank of water?View question
Q.6184·Miscellaneous·2019·EasyA square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square?View question
Q.6185·Miscellaneous·2019·EasyA library has an average number of 510 visitors on Sunday and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with Saturday?View question
Q.6186·Miscellaneous·2019·EasyIf 36/11 = 3 + 1/(x + 1/(y + 1/z)), where x, y and z are natural numbers, then what is (x + y + z) equal to ?View question
Q.6187·Miscellaneous·2019·EasyA person sells two items each at Rs. 990, once at a profit of 10% and another at a loss of 10%. What is the combined percentage of profit or loss for the two items ?View question
Q.6188·Miscellaneous·2019·EasyIt takes 11 hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 minutes more if 200 km are covered by train and the rest by car. What is the ratio of speed of the car to that of the train ?View question
Q.6189·Miscellaneous·2019·EasyThe sum of the squares of four consecutive natural numbers is 294. What is the sum of the numbers ?View question
Q.6190·Miscellaneous·2019·EasyHCF of two numbers is 12. Which one of the following can never be their LCM?View question
Q.6191·Miscellaneous·2019·EasyThe rate of interest on two different schemes is the same and it is 20%. But in one of the schemes, the interest is compounded half yearly and in the other the interest is compounded annually. Equal amounts are invested in the schemes. If the difference of the returns after 2 years is ₹482, then what is the principal amount in each scheme?View question
Q.6192·Miscellaneous·2019·EasyTwo cylinders of equal volume have their heights in the ratio 2:3. What is the ratio of their radii?View question