Test-Series - numerical

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Test Number 10/39

Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 120
B. 25200
C. 24400
D.  52000
Solution: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3*4C2)  = 210.    Number of groups, each having 3 consonants and 2 vowels = 210.    Each group contains 5 letters.    Number of ways of arranging 5 letters among themselves = 5! = 120    Required number of ways = (210 x 120) = 25200.
The correct answer is: A) 25200
Q: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
A. 4.04
B. 3.04
C. 1.04
D. 2.04
Solution: 100 cm is read as 102 cm.  A1 = (100*100)Sq.cm  A2 = (102*102)Sq.cm (A2 - A1) = 1022-1002 = (102 + 100) x (102 - 100) = 404 sq.cm.
The correct answer is: D) 4.04
Q: A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
A. 1600
B. 1260
C. 1250
D. 1400
Solution: A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.  Now, the captain can be selected from these 6 players in 6 ways.Therefore, total ways the selection can be made is 210×6= 1260
The correct answer is: A) 1260
Q: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
A. 720
B. 900
C. 1200
D. 1800
Solution: The correct answer is: C) 1200
Q: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
A. 110
B. 120
C. 130
D. 140
Solution: Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8mArea = 15 x 8 =120 sq. m
The correct answer is: B) 120
Q: In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?
A. 1/2
B. 3/4
C. 4/5
D. 2/5
Solution: The correct answer is: D) 2/5
Q: The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
A. 715
B. 469
C. 400
D. 750
Solution: Let C.P be Rs. x  900 - x = 2(x - 450)     => x = Rs.600     
C.P = 600 gain required is 25% 
 S.P = [(100+25) x 600] / 100 = Rs.750
The correct answer is: D) 750

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