June 2016: Life Sciences and Physical Sciences Posted on June 17, 2017June 17, 2017Author Christy VarghesePosted in UncategorizedLeave a Reply June 2016 1. 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 it is possible that no one fails. if a student scores less than ¼ of the maximum score, he/she always fails. if a student scores more than ½ of the maximum score, he/she always passes. ¼ of the students appearing for the exam always fail. 2. 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? 10 8 9 7 3. 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 50 125 100 4. 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? 7/8 1/8 3/8 5/8 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? 999 1 1000 1001 6. 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)? 13 12 35 6 7. 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 : 1 √3 : √2 1 : 1 8. Of the following which is the odd one out? Cone Torus Ellipsoid Sphere 9. Which of the following statements is logically incorrect? I occasionally speak the truth I occasionally lie I always lie. I always speak the truth 10. 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 = 14 28 18 35 11. 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 15 5 25 12. Which of the following best approximates sin (0.5^{o})? 0.5 × π/90 0.5 × π/360 0.5 0.5 × π/180 13. Find the next figure “D” (3) (4) (1) (2) 14. 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 15. 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? 6 7 11 12 16. What comes next in the sequence? (1) (2) (3) (4) 17. Fill in the blank: F2, __, D8, C16, B32, A64 G16 C4 C2 E4 18. 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 19. Which of the following inferences can be drawn from the graph? The total number of students qualifying in Physics in 2015 and 2014 is the same. The number of students qualifying in Biology in 2015 is less than that in 2013. 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 Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014. 20. 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. 1 4 3 2 Loading …