Question 1

-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?

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

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

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

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

-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?

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

-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

Accepted Answer

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

Question 12

-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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

-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.

Accepted Answer

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

Question 16

-Which word does not belong with the others?

Accepted Answer

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

Question 17

-The value of ?/3 radians in degrees is

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

-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?

Accepted Answer

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

Question 20

-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

Accepted Answer

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

Exam 1: Mathematics and Logic