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Question 1 : A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
4 days
6 days
8 days
12 days

Question 2 : The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
2:3
3:2
9:4
4:9

Question 3 : A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is
Rs.1200
Rs.1205
Rs.1250
Rs.1275

Question 4 : In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is
36
60
40
50

Question 5 : In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar
7.0 sec
72 sec
7.2 sec
70 sec

Question 6 :
8
10
12
None of these

Question 7 : If l + m + n = 9 and l2 + m2 + n2 = 31, then the value of lm + mn + nl will be
22
50
25
25

Question 8 : The centroid of a triangle is the point where
the medians meet
the altitudes meet
the right bisectors of the sides of the triangle meet
the bisectors of the angles of the triangle meet

Question 9 : In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is:
38°
32°
25°
29°

Question 10 : .In a trapezium ABCD, AB  CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is
1 cm
2 cm
3 cm
8 cm

Question 11 : If tanθ + cotθ = 5, then the value of tan2 θ+ cot2 θ is
22
25
23
27

Question 12 : When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be
6
7
5
3

Question 13 : If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is
Rs.156.25
Rs.146.25
Rs.166.25
Rs.150.25

Question 14 : The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is
70
71
72
73

Question 15 : The simple interest on a sum for 5 years is twofifth of the sum. The rate of interest per annum is
0.1
0.08
0.06
0.04

Question 16 :
0
1
2
1

Question 17 : If a  b = 3 and a2 + b2 = 25, then the value of ab is
16
8
10
15

Question 18 : In ΔABC, ∠B = 70°and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is
125°
120°
115°
110°

Question 19 : If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is
12/13
5/13
5/12
1/5

Question 20 : A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?
12 cm
24 cm
36 cm
48 cm

Question 21 : The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is
10 m
10√3m
60 m
30 m

Question 22 : The piechart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions If the total number is 35000, then the difference between the numbers of literate male and literate female is
3500
3700
400
4500

Question 23 : The piechart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions. The difference of central angles corresponding to illiterate male and illiterate female is
12.2°
13.4°
11.2°
14.4°

Question 24 : The piechart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions. If the difference between the two categories of people are represented by 36° in the diagram then these categories are
literate male and literate female
literate male and illiterate male
illiterate male and literate female
illiterate male and illiterate female

Question 25 : The piechart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions. If two categories together have a central angle of 169.2^{0},then these categories are
literate female and illiterate female
literate male and illiterate female
illiterate male and illiterate female
illiterate male and literate female
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