1.When a number is divided by 56,the remainder is 27, what will be the remainder when the number is divided by 13?
(a) 9
(b) 7
(c) 1
(d) 8
2.If 854A9A is divisible by 11,then the values of A is
(a) 6
(b) 3
(c) 9
(d) 8
3.Find the length of the wire required to fence a square field 6 times having its area 5 hectares and 76 ares:?
(a) 5760 m
(b) 6760 m
(c) 52500 m
(d) 11760 m
4.A 380 metre long train moving with an average speed of 162 km/h crosses a platform in 16seconds. A man crosses the same platform in 17 seconds. What is the speed of the man?
(a) 15 m/s
(b) 18 m/s
(c) 20 m/s
(d) Cannot be determined
5.If two angles are complementary of each other , then each angle is:
(a)a right angle
(b) a supplementary angle
(c) an obtuse angle
(d) an acute angle
6.The ratio of the three angles of a quadrilateral is 11 : 9 : 7 . The value of the fourth angle of the quadrilateral is 360 . What is the difference between the largest and the smallest angles of the quadrilateral?
(a) 1040
(b) 1080
(c) 720
(d) 960
7.Rs. 1000 is being charged at 50% per annum. What is the interest for 3rd year at compound interest ?
(a) Rs. 1122
(b) Rs. 1025
(c) Rs. 1125
(d) Rs. 625
8.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
(a) Rs.175.50
(b) Rs.170.50
(c) Rs.182.50
(d) Rs.185.50
9.A takes 16 days to finish a job alone , while B takes 8 days to finish the same job. What is the ratio of their efficiency and who is less efficient.
(a) 1:2 and A
(b) 1:2 and B
(c) 2:1 and A
(d) 2:1 and B
10.The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
(a) 15360
(b) 30720
(c) 153600
(d) 307200
Answers and Solution:
1.(a)27 is divided by 13
so Required remainder = remainder by 27/13 = 1
2.(c)sum of digital at odd places of 854A9A = A+A+5 =2A+5
Sum of digits at even places of 854A9A =8+4+9 = 21
(2A+5)-21 = 0 OR 11 or 22
so 2A+5-21 = 0
2A =16
A = 8
3.(a) Soln= 5 hectares and 76 ares = 57600 m^2, find perimeter then multiply it by 6.
So length of wire is 5760m.
4.(c) Speed of train = 162km/hr= 162 x 5/18 = 45 m/sec
If the length of the platform be x meters, then
(380+x)/16= 45
x+380=720
x=(720-380)=340
then 340/17 = 20 m/s
5.(d)
6.(d) Soln-let three angles of the quadrilateral be 11x0, 9x0 and 7x0 respectively.
Now according to the question, 11x+9x+7x=360-36=324
27x=324
x= =12
required difference = 11x-36= 960
7.(c) Soln – Total amount for two years = 1000(1.5)2 =2250
Now, interest for third year = (2250×50×1)/100 = 1125
8.(a)
9.(a)
10.(c)Perimeter = Distance covered in 8 min
= (12000/60 x 8)m = 1600 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) meter square = 153600 meter square
so Required remainder = remainder by 27/13 = 1
2.(c)sum of digital at odd places of 854A9A = A+A+5 =2A+5
Sum of digits at even places of 854A9A =8+4+9 = 21
(2A+5)-21 = 0 OR 11 or 22
so 2A+5-21 = 0
2A =16
A = 8
3.(a) Soln= 5 hectares and 76 ares = 57600 m^2, find perimeter then multiply it by 6.
So length of wire is 5760m.
4.(c) Speed of train = 162km/hr= 162 x 5/18 = 45 m/sec
If the length of the platform be x meters, then
(380+x)/16= 45
x+380=720
x=(720-380)=340
then 340/17 = 20 m/s
5.(d)
6.(d) Soln-let three angles of the quadrilateral be 11x0, 9x0 and 7x0 respectively.
Now according to the question, 11x+9x+7x=360-36=324
27x=324
x= =12
required difference = 11x-36= 960
7.(c) Soln – Total amount for two years = 1000(1.5)2 =2250
Now, interest for third year = (2250×50×1)/100 = 1125
8.(a)
9.(a)
10.(c)Perimeter = Distance covered in 8 min
= (12000/60 x 8)m = 1600 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) meter square = 153600 meter square
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