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Functions
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100
True or False the 2 functions F and G are defined by f(x)=3x + 3 for x real g(t)for t real and positive
False . two functions are equal if their rules are equal and their domains are the the same.
100
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
C.1200 2(15+12) x H =2(15x12) h=180/27m = 20/3m. Volume =(15x12x20/3) m3=1200m3
100
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A.2 : 5 B.3 : 5 C.4 : 5 D.6:7 C.4:5
100
Solve the equation. -2x + 6 = 4x - 2
a: no solutions b: 0 c: 3 d: 1 / 2 e: 4 / 3
100
The cube root of .000216 is:
A.6 B.06 C.77 D.87 B
200
6 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
A.84 B.90 C.168 D.336 C.
200
In a mixture 60 liters, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
A.20 liters B.30 liters C.40 liters Then, milk : water = 40 . 20 + x Now, 40 = 1 20 + x 2 20 + x = 80 x = 60. Quantity of water to be added = 60 litres. D.60 liters
200
Solve the equation. -(-x - 5) = x - 2
a: no solutions b: -5 c: 3 d: 1 / 2 e: 4 / 3
200
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is?
A. 57 B. 67 C. 77 D. 87 C
300
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
A.3.6 kg B.3.696 kg C.36kg D.36.9 kg B
300
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
A.8 : 9 B.17 : 18 C.21 : 22 D.Cannot be determined Originally, let the number of boys and girls in the college be 7x and 8x respectively. Their increased number is (120% of 7x) and (110% of 8x). 120 x 7x and 110 x 8x 100 100 42x and 44x 5 5 The required ratio = 42x : 44x = C.21:22 5 5
300
Equation: -3 + 2x = 11
x=7
300
The square root of 64009 is:
A. 253 B. 347 C. 363 D. 803 A.
400
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
A.20 cm B.25 cm C.35 cm D.50 cm B
400
If 0.75 : x :: 5 : 8, then x is equal to:
A.1.12 B.1.2 C.1.25 D.1.30 (x x 5) = (0.75 x 8) x =6/5= 1.20 B
400
x + 9 = 18 - 2x
x=3
400
The square root of (7 + 35) (7 - 35) is
A.5 B.2 C.4 D.35 B
500
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
A.30 m2 B.40 m2 C.60 m2 D.80 m2 B
500
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A.2 : 5 B.3 : 7 C C.5 : 3 D.7 : 3
500
2x - 10 = 10 - 3x
x=4
500
0.0169 x ? = 1.3
A. 10 B. 100 C. 1000 D. None of these B