June 2016: Life Sciences and Physical Sciences Posted on June 17, 2017June 17, 2017Author Christy VarghesePosted in UncategorizedLeave a Reply June 2016 1. An infinite number of identical circular discs each of radius ½ are tightly packed such that the centres of the discs are at integer values of coordinates x and y. The ratio of the area of the uncovered patches to the total area is π π/4 1 – π 1 – π/4 2. It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (all speeds stay constant)? 35 13 6 12 3. How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40^{o} with each other in the next 6 hours? 7 12 6 11 4. Of the following which is the odd one out? Sphere Ellipsoid Torus Cone 5. “My friend Raju has more than 1000 books”, said Ram. “Oh no, he has less than 1000 books”, said Shyam. “Well, Raju certainly has at least one book”, said Geeta. If only one of these statements is true, how many books does Raju have? 1000 1001 999 1 6. Which of the following best approximates sin (0.5^{o})? 0.5 × π/360 0.5 × π/180 0.5 × π/90 0.5 7. Find the next figure “D” (2) (1) (3) (4) 8. The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number of slabs of 10 × 10 × 5 cm^{3} size that can be cut parallel to the face on which the block is resting? 250 125 50 100 9. Fill in the blank: F2, __, D8, C16, B32, A64 C2 G16 E4 C4 10. A student appearing for an exam is declared to have failed the exam if his/her score is less than half the median score. This implies ¼ of the students appearing for the exam always fail. if a student scores more than ½ of the maximum score, he/she always passes. if a student scores less than ¼ of the maximum score, he/she always fails. it is possible that no one fails. 11. Which of the following statements is logically incorrect? I occasionally speak the truth I always lie. I always speak the truth I occasionally lie 12. What comes next in the sequence? (1) (3) (2) (4) 13. Which of the following inferences can be drawn from the graph? The number of students qualifying in Physics in 2015 is equal to the number of students in Biology that qualified in 2014. The number of students qualifying in Biology in 2015 is less than that in 2013. The total number of students qualifying in Physics in 2015 and 2014 is the same. The number of Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014. 14. The relationship among the numbers in each corner square is the same as that in the other corner squares. Find the missing number. 10 12 8 6 15. The set of numbers (5, 6, 7, m, 6, 7, 8, n) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then m × n = 18 14 35 28 16. N is a four-digit number. If the leftmost digit is removed, the resulting three-digit number is 1/9^{th} of N. How many such N are possible? 7 10 8 9 17. Brothers Santa and Chris walk to school from their house. The former takes 40 minutes while the latter, 30 minutes. One day Santa started 5 minutes earlier than Chris. In how many minutes would Chris overtake Santa? 20 5 15 25 18. AB and CD are two chords of a circle subtending 60^{o} and 120^{o} respectively at the same point on the circumference of the circle. Then AB:CD is √2 : 1 √3 : √2 √3 : 1 1 : 1 19. What is the minimum number of moves required to transform Figure 1 to Figure 2? A move is defined as removing a coin and placing it such that it touches two other coins in its new position. 4 3 1 2 20. A solid contains a spherical cavity. The cavity is filled with a liquid and includes a spherical bubble of gas. The radii of cavity and gas bubble are 2 mm and 1 mm, respectively. What proportion of the cavity is filled with liquid? 5/8 1/8 3/8 7/8 Loading …