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Two circles with centres P and Q intersect at B and C. A, D are points on the circles with centres P and Q respectively such that A, C, D are collinear. If ∠APB = 130°, and ∠BQD = x° , then the value of x is

65

130

195

135

A three digit number is composed of three successive digit. If digits are interchange than the difference between new number and original number is 33 times to the larger digit. Calculate sum of digit of numbers ?

9

12

15

18

In a class there are 100 student. 60% student play cricket while 30% football and 10% both. Calculate number of student, who are not playing any of the games ?

25

20

A, B and C together can complete a work in 6 hour. If A and C together can do 4 times work than B and A can do 5 times than C. Calculate in what time alone A can finish the same work ?

5 hr

7 hr

6 hr

9 hr

Two pipe can fill a tank in 4 hour and 5 hours respectively. While a waste pipe can drain off water 320 litre in hour. If all taps are opened in full tank than tank will be empty in 20 hours. Calculate capacity of tank ?

640 litre

630 litre

650 litre

645 litre

The radius of a circular wheel is 1.75 metre. How many round it will take to travel 11 km ?

800

500

1000

2000

The base of a cone, semi sphere and a cylinder are same. If there volume ratio is 3 : 2 : 1. Then calculate their heights ratio ?

9 : 3 : 2

9 : 3 : 1

9 : 6 : 4

9 : 2 : 6

If D and E are points on the sides AB and AC, respectively of a triangle ABC such that DE||BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x –1. The value of x is ?

2.5

2

3

4

If –1 ≤ x ≤ 3 and 1 ≤ y ≤ 3, then the maximum value of (3y – 4x) is ?

13

5

-6

A book seller marks up the price of his books by 50% and allow the discount of 15% and still make a profit of 165 Rs. Calculate marked price of the book ?

Rs. 900

Rs. 950

Rs. 1000

Rs. 1100

In an exam student got 25% and failed by 60 marks. Another student got 50% marks and score 40 more marks than passing marks. Passing marks of this exam is increased by what percent to get the maximum marks ?

140%

130%

150%

120%

Which of the following numbers is NOT divisible by 18 ?

54036

50436

34056

65043

If a and b are odd numbers, then which of the following is even ?

a + b + ab

a + b – 1

a + b + 1

a + b + 2ab

The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is ?

144

72

36

85

In figure, △ADE and △ABC are similar, if AC : BC = 3 : 2, then the ratio ^{DE}/_{AE} is ?

3 : 2

2 : 3

1 : 3

1 : 2

A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of base are 15 cm and 12 cm. Then, calculate height of water in the vessel now ?

4.05 cm

4 cm

3.5 cm

3 cm

Two right circular cones X and Y are made, X having three times the radius of Y and Y having half the volume of X. The ratio of heights of X and Y ?

2 :3

2 : 9

4 : 9

4 : 5

If x > 2 then

2√(x-1)

-2

-2√(x-1)

Find the remainder of when (18)^{142} + 343 is divided by19 ?

A and B are two alloys of gold and copper prepared by mixing metals in the proportion 7 : 2 and 7 : 11 respectively. If equal quantities of the alloy are melted to form a third alloy C, the proportion of gold and copper in C will be ?

5 : 9

5 : 7

7 : 5

9 : 5