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 ?
(1) 1-π/4 (2) π/4 (3) 1- π (4) π
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)?
(1) 13 (2) 35 (3) 6 (4) 12
3. "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?
(1) 1 (2) 1000 (3) 999 (4) 1001
4. Of the following, which is the odd one out?
(1) Cone (2) Torus (3) Sphere (4) Ellipsoid
5. 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
(1) 1/4 of the students appearing for the exam always fail.
(2) if a student scores less than 1/4 of the maximum score,
he/she always fails.
(3) if a student scores more than 1/2 of the maximum score,
he/she always passes.
(4) it is possible that no one fails.
6. Find the next figure 'D"
answer is 2
7.N is a four digit number. If the leftmost digit is removed, theresulting three digit number is 1/9th of N. How many such N
are possible?
(1) 10 (2) 9 (3) 8 (4) 7
8. AB and CD are two chords of a circle subtending 60° and 120° respectively at the same point on the circumference of the circle. Then AB : CD is
(1) √ (2) √ 2:1 (3) 1 : 1 (4) √3: √ 2
9. Which of the following inferences can be drawn from the above graph?
(1) The total number of students qualifying in Physics in 2015 and 2014 is the same
(2) The number of students qualifying in Biology in 2015 is less than that in 2013
(3) The number of Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014
(4) The number of students qualifying in Physics in 2015 is equal to the number of students in Biology that qualified in
2014
10. 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) 1 (2) 2 (3) 3 (4) 4
11. The relationship among the numbers in each corner square is the same as that in the other corner squares. Find the missing number.
(1) 10 (2) 8 (3) 6 (4) 12
13. What comes next in the sequence? Answer 3
14. Which of the following statements is logically incorrect?
(1) I always speak the truth
(2) I occasionally lie
(3) I occasionally speak the truth
(4) I always lie
15. How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours?
(1) 6 (2) 7 (3) 11 (4) 12
16. 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?
(1) 5 (2) 15 (3) 20 (4) 25
17. 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 x n=
(1) 18 (2) 35 (3) 28 (4) 14
18. The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number of slabs of 10 x 10 x 5 cm3 size that can be cut parallel to the face which the block is resting?
(1) 50 (2) 100 (3) 125 (4) 250
19. 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?
(1) 1/8
(2) 3/8
(3)5/8
(4) 7/8
20. Fill in the blank: F2, _, D8, C16, B32, A64
(1) C4 (2) E4 (3) C2 (4) D16
integer values of coordinates x and y. The ratio of the area of the uncovered patches to the total area is ?
(1) 1-π/4 (2) π/4 (3) 1- π (4) π
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)?
(1) 13 (2) 35 (3) 6 (4) 12
3. "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?
(1) 1 (2) 1000 (3) 999 (4) 1001
4. Of the following, which is the odd one out?
(1) Cone (2) Torus (3) Sphere (4) Ellipsoid
5. 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
(1) 1/4 of the students appearing for the exam always fail.
(2) if a student scores less than 1/4 of the maximum score,
he/she always fails.
(3) if a student scores more than 1/2 of the maximum score,
he/she always passes.
(4) it is possible that no one fails.
6. Find the next figure 'D"
7.N is a four digit number. If the leftmost digit is removed, theresulting three digit number is 1/9th of N. How many such N
are possible?
(1) 10 (2) 9 (3) 8 (4) 7
8. AB and CD are two chords of a circle subtending 60° and 120° respectively at the same point on the circumference of the circle. Then AB : CD is
(1) √ (2) √ 2:1 (3) 1 : 1 (4) √3: √ 2
(1) The total number of students qualifying in Physics in 2015 and 2014 is the same
(2) The number of students qualifying in Biology in 2015 is less than that in 2013
(3) The number of Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014
(4) The number of students qualifying in Physics in 2015 is equal to the number of students in Biology that qualified in
2014
10. 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) 1 (2) 2 (3) 3 (4) 4
11. The relationship among the numbers in each corner square is the same as that in the other corner squares. Find the missing number.
13. What comes next in the sequence? Answer 3
14. Which of the following statements is logically incorrect?
(1) I always speak the truth
(2) I occasionally lie
(3) I occasionally speak the truth
(4) I always lie
15. How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours?
(1) 6 (2) 7 (3) 11 (4) 12
16. 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?
(1) 5 (2) 15 (3) 20 (4) 25
17. 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 x n=
(1) 18 (2) 35 (3) 28 (4) 14
18. The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number of slabs of 10 x 10 x 5 cm3 size that can be cut parallel to the face which the block is resting?
19. 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?
(1) 1/8
(2) 3/8
(3)5/8
(4) 7/8
20. Fill in the blank: F2, _, D8, C16, B32, A64
(1) C4 (2) E4 (3) C2 (4) D16
1 Comments
How is the answer of question 18- 100. Could anyone explain?
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