Deck 1: Mathematics and Logic

Question 1

-If a dice and a coin are tossed, the probability that you will get 6 on the dice and tail on the coin is

A)1/8
B)1/12
C)1/7
D)2/3

Answer 1

1/12

Question 2

-3?80 is equal to

A)3?10
B)2 x 3?10
C)3 x 3?10
D)4 x 3?10

Answer 2

2 x 3?10

Question 3

-The ratio of decade and a century is

A)1:10
B)1:5
C)1:20
D)1:2

Answer 3

1:10

Question 4

-The value of ?/3 radians in degrees is

A)30 degrees
B)90 degrees
C)120 degrees
D)60 degrees

Question 5

-If the length of the shadow of a pole is ?3 times the actual height of the pole, the angle of elevation of the sun will be

A)60 degrees
B)30 degrees
C)45 degrees
D)15 degrees

Question 6

-The area of a quadrilateral where vertices are (3,4), (0,5), (2,-1) and (3, -2) is:

A)11
B)22
C)33
D)44

Question 7

-A line which intersects a circle at two points is called a

A)tangent
B)secant
C)interior common tangent
D)exterior common tangent

Question 8

-Diagram used to represent sets

A)bar chart
B)pert chart
C)venn diagram
D)pie chart

Question 9

-A man is five times as old as his son, and the sum of the squares of their ages is equal to 2106, find their ages

A)son's age = 5 years, father's age = 25 years
B)son's age = 7 years, father's age = 35 years
C)son's age = 9 years, father's age = 45 years
D)son's age = 10 years, father's age = 50 years

Question 10

-Two numbers are in the ratio of 5:8. If 9 be added to each, are in the ratio of 8:11. The numbers are

A)5, 8
B)8, 11
C)15, 24
D)20, 32

Question 11

-What would be the total accumulated amount in 5 years if the sum of Rs. 10,000 is deposited in the bank at an interest rate of 6% per annum compounded monthly

A)rs. 13,488.50
B)rs. 13,345.50
C)rs. 13,288.50
D)rs. 13,500.50

Question 12

-A man, whose height is 1.5m, standing 8m from a lamp post, observes that his shadow cast by the light is 1.25m in length. How high is the light?

A)10.0m
B)11.1m
C)12.0m
D)9.0m

Question 13

-What is the length of the edge of a cube of which the total surface area is 48 square metres?

A)2
B)3
C)4
D)6

Question 14

-How many solid spheres 6cm in diameter could be moulded from a solid metal cylinder whose height is 45cm and diameter 4cm?

A)10
B)8
C)6
D)5

Question 15

-The large hand of a clock is 71.12cm long. How many centimetres does its extremity move in 20 minutes?

A)120.00cm
B)148.95cm
C)150.00cm
D)160.00cm

Question 16

-The angle of elevation of the top of a tower is 30 degrees, on walking 100m meter, the elevation is found to be 60 degrees. Find the height of the tower.

A)40?3m
B)45?3m
C)50?3m
D)55?3m

Question 17

-How many 6 letters words can we make using the letters in word 'QUALITY' without replications?

A)6040
B)3528
C)720
D)5040

Question 18

-Partial fraction of (5x + 10) / (x(x + 5)) is

A)5/2x + 3/(x+5)
B)2/3x + 10/(x+5)
C)3/(2x+5)
D)2/x + 3/(x+5)

Question 19

-A's mother is sister of B and daughter of C. D is the daughter of B and sister of E. How is Crelated to E?

A)father
B)uncle
C)grandmother
D)grandfather

Question 20

-Yunus said, 'this girl is the wife of the grandson of my father'. Who is Yunus to the girl?

A)husband
B)father
C)grandfather
D)father-in-law

Question 21

23-Pointing to a man, Sushma said. " his mother is the only daughter of may mother". How isSushma related to the man?

A)daughter
B)sister
C)mother
D)grandmother

Question 22

-Rahim started walking straight facing east. After walking a distance of 20 meters, he took a right turn, and again, after walking 10 meters, he took left turn, and after walking 10 meters,he took a left turn. What he is facing now?

A)north
B)west
C)east
D)south

Question 23

-Diwakar is twice as old as Latif but twice younger than Bablu. Mohan is half the age of Latif but twice the age of Anand. Which of the following individuals from the pair of the youngestand the oldest?

A)anand and bablu
B)latif and diwakar
C)mohan and anand
D)diwakar and anand

Question 24

-Which word does not belong with the others?

A)guitar
B)flute
C)violin
D)cello