Q.10765·Miscellaneous·2015·EasyThe point O is equidistant from the three sides of a triangle ABC. Consider the following statements: 1. ∠OAC + ∠OCB + ∠OBA = 90° 2. ∠BOC = 2∠BAC 3. The perpendiculars drawn from any point on OA to AB and AC are always equal Which of the above statements are correct?View question
Q.10766·Miscellaneous·2015·EasyThere are 437 fruit plants in an orchard planted in rows. The distance between any two adjacent rows is 2 m and the distance between any two adjacent plants is 2 m. Each row has the same number of plants. There is 1 m clearance on all sides of the orchard. What is the cost of fencing the area at the rate of Rs. 100 per metre?View question
Q.10767·Miscellaneous·2015·EasyA boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the radius of the wheel is 30 cm, the speed of the cycle isView question
Q.10768·Miscellaneous·2015·EasyThe speeds of three buses are in the ratio 2 : 3 : 4. The time taken by these buses to travel the same distance will be in the ratioView question
Q.10769·Miscellaneous·2015·EasyA hollow cylindrical drum has internal diameter of 30 cm and a height of 1 m. What is the maximum number of cylindrical boxes of diameter 10 cm and height 10 cm each that can be packed in the drum?View question
Q.10771·Miscellaneous·2015·EasyA pipe with square cross-section is supplying water to a cistern which was initially empty. The area of cross-section is 4 cm² and the nozzle velocity of water is 40 m/s. The dimensions of the cistern are 10 m × 8 m × 6 m. Then the cistern will be full inView question
Q.10772·Miscellaneous·2015·EasyConsider all positive two digit numbers each of which when divided by 7 leaves a remainder 3. What is their sum?View question
Q.10773·Miscellaneous·2015·EasyIn an election 10% of the voters on the voter list did not cast their vote and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of total voters in the voter list and he got 308 votes more than his rival. The number of voters on the voter list isView question
Q.10774·Miscellaneous·2015·EasyIn a race of 100 m, A beats B by 4 m and A beats C by 2 m. By how many metres (approximately) would C beat B in another 100 m race assuming C and B run with their respective speeds as in the earlier race?View question
Q.10775·Miscellaneous·2015·EasyA number consists of two digits, whose sum is 7. If the digits are reversed, the number is increased by 27. The product of digits of the number isView question
Q.10776·Miscellaneous·2015·EasyA’s salary was increased by 40% and then decreased by 20%. On the whole A’s salary is increased byView question
Q.10777·Miscellaneous·2015·EasyA pole is standing erect on the ground which is horizontal. The tip of the pole is tied tight with a rope of length √12 m to a point on the ground. If the rope is making 30° with the horizontal, then the height of the pole isView question
Q.10778·Miscellaneous·2015·EasyAn aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are 60° and 45° respectively. Then the vertical distance between the two planes isView question
Q.10779·Miscellaneous·2015·EasyConsider the following statements: 1. sin66° is less than cos66° 2. sin26° is less than cos26° Which of the above statements is/are correct?View question
Q.10780·Miscellaneous·2015·EasyIf tan(x + 40°)tan(x + 20°)tan(3x)tan(70° - x)tan(50° - x) = 1, then the value of x is equal toView question
Q.10781·Miscellaneous·2015·EasyConsider the following statements: 1. (1 + tan²θ)/(1 + cot²θ) = (1 - tanθ / 1 - cotθ)² is true for all 0 < θ < π/2, θ ≠ π/4 2. cotθ = 1/tanθ is true for θ = 45° only. Which of the above statements is/are correct?View question
Q.10782·Miscellaneous·2015·Easy20% of a number when added to 20 becomes the number itself, then the number isView question