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1. What is the value of
800×800×800+350×350×350
800×800−800×350+350×350
a. 9610
b. 1960
c. 1150
d. 1016
𝟏
𝟑
𝟏
𝟑
𝟏
𝟑 𝟐
𝟏
𝟐
2. If the expression 𝟐 𝟐 𝒐𝒇 𝟒 × 𝟐 ÷ 𝟐 + 𝟐 ÷ 𝟐 [𝟑 − 𝟐 𝒐𝒇 𝟑] is simplified we get:
a. ½
b. 7/8
3
5
5
18
c. 2
d.
3. What approximate value will come in place of question mark (?) in the following question?
20.06% of 599 + 10.01% of 901 =?
a. 180
b. 210
c. 320
d. 150
4. What will come in place of question mark in the following question?
25% of 120 + 40% of 380 = ? of 637
a.
b.
c.
d.
1/7
4/7
3/7
2/7
5. 461 + 462 + 463 + 464 is divisible by
a. 3
b. 11
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c. 13
d. 17
6. The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54
seconds respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will
they again change simultaneously ?
a. 10:16:54 AM
b. 10:18:36 AM
c. 10:17:02 AM
d. 10:22:12 AM
7. The unit digit in (795 - 358) is
a. 0
b. 4
c. 6
d. 7
1
8. √2 = 1.4142, find the value of 2√2 + √2 + 2+2
a.
b.
c.
d.
√2
+
1
√2−2
1.4144
2.8284
28.284
2.4142
9. If x + (1/x) = 6, then find value of
a. –(3/17)
b. –(14/3)
c. –(17/3)
d. –(16/3)
𝑥3+
1
𝑥
𝑥 2 −12𝑥+1
10. If p * q = (p + q) + pq, then what is the value of (4 * 3 – 3 * 2)?
a. 7
b. 8
c. 9
d. 6
11. Three years ago, the average age of A and B was 8 years, With C joining them now, the average
becomes 15 years. How old is C now?
a. 23 years
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b. 17 years
c. 35 years
d. 10 years
12. On dividing the polynomial. f(x) = x3 – 5x2 + 6x - 3 by a polynomial g(x), the quotient q(x) and
remainder r(x) are (x – 1), (-1), respectively, find the polynomial g(x).
a. x2 - 4x + 2
b. x2 + 7x + 2
c. x2 + 2x + 3
d. x2 + 4x – 2
13. When a = 3.5, b = 2.5, then find the value of 16a2 + 25b2 – 40ab = ?
a. 5.25
b. 25.5
c. 2.25
d. 26.5
14. The mean of 20 items is 55. If two items 45 and 30 are removed, the new mean of the remaining
items is
a. 65.3
b. 59.9
c. 56
d. 65.1
15. In an election 20% of votes were not polled and out of two candidates Ram and Bhanu, Ram got
40% of the total votes while Bhanu got 60% of the votes polled and won by 1600 votes. How
many votes did Bhanu get?
a. 9600
b. 8400
c. 20000
d. 12000
16. A bag contains 375 currency notes consisting of 5-rupee, 10-rupee and 50-rupee currencies in
the ratio 4 : 8 : 3 respectively. Out of this, Rs. 50 is spent and the left out money is exchanged for
100-rupee currency notes. Then the number of 100-rupee currency notes is
a. 150
b. 62
c. 72
d. 52
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17. If a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7, then a : d = ?
a. 12 : 35
b. 24 : 35
c. 16 : 35
d. 24 : 25
18. What number must be added to each of 45, 13, 33 and 9 such that the resultant numbers are in
proportion?
a. 4
b. 3
c. 13
d. 12
1
1
19. The third proportional to ( + ) 𝑎𝑛𝑑 √𝑎 + 𝑏 is:
𝑎
𝑏
a. ab
b. √𝑎𝑏
c. √𝑎 + 𝑏
d. 1
20. The compound interest on a certain sum of money at 5% per annum for 2 years is Rs. 246.The
simple interest on the same sum for 3 years at 6% per annum is:
a. 415
b. 450
c. 460
d. 432
21. What annual payment will discharge a debt of Rs. 6,450 due in 4 years at 5% per annum simple
interest?
a. Rs. 1400
b. Rs. 1500
c. Rs. 1550
d. Rs. 1600
22. A trader advertises for selling the cloth at 5% loss, but by using a false meter scale he actually
gains 20%. What is the actual length of the scale?
a. 0.75m
b. 0.8m
c. 0.6m
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d. 0.5m
23. Arora Electronics sells a Radio set for Rs. 3,450 and makes a profit of 15%. He sells a second
Radio set at a loss of 5%. If on the whole he neither gains nor loses, find the cost price of the
second Radio set.
a. Rs. 8,450
b. Rs. 4,500
c. Rs. 9,000
d. Rs. 6,000
24. A, B, C enters into partnership. A invests some money at the beginning, B invests double the
amount after 6 months and C invests thrice the amount after 8 months. If the annual profit is Rs.
33,000, C’s share is (in Rs.)
a. 11250
b. 11000
c. 10800
d. 10625
25. The difference between the discount at 40% and two successive discounts of 20% and 20% is Rs.
80. What is the amount of the bill?
a. Rs. 1100
b. Rs. 2000
c. Rs. 2200
d. Rs. 1800
26. The old lady who lived in a shoe was having some real trouble buying Christmas presents for her
enormous family. Although she bought the least expensive stocking stuffers she could find, the
bill was high. Of course, both a 15 percent sales tax and a 5 percent luxury tax were added to
the original price. She paid a total of Rs.100. What was the cost of the stuffers before taxes?
a. Rs. 93.33
b. Rs. 83.33
c. Rs. 73.33
d. Insufficient data
27. Manipur tea and Darjeeling tea are Rs. 30 and Rs. 40 per kg respectively. In what ratio both
should be mixed so as to gain 40% by selling the mixture at Rs. 45 per kg.
a. 11 : 3
b. 3 : 1
c. 2 : 1
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d. 2 : 3
28. A work could be completed in 100 days by some workers. Due to the absence of 16 workers,
work was completed in 108 days. The original number of workers was –
a. 226
b. 254
c. 216
d. 204
29. The work of 4 men is equal to work of 6 women and the work of 9 women is equal to work of 12
boys. 8 men and 6 women working 8 hours a day complete a work is 15 days. In how many days
2 men, 3 women and 4 boys together working 6 hours daily will complete that work?
a. 40
b. 45
c. 60
d. 48
30. Twelve men can complete a work in 8 days. Three days, after they started the work, 8 more men
joined. In how many days will all of them together, complete the remaining work?
a. 2 days
b. 3 days
c. 5 days
d. 4 days
31. If the wages of 5 men for 12 days be Rs. 12000, what would be the wages of 6 men for 20 days?
a. Rs. 20000
b. Rs. 22000
c. Rs. 24000
d. Rs. 26000
32. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2
men together can do it in 8 days. If a man gets Rs. 900 per day, how much should a woman get
per day?
a. Rs. 600
b. Rs. 650
c. Rs. 680
d. Rs. 760
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33. Two pipes can fill a tank in 12 hours and 24 hours respectively. The pipes are opened
simultaneously and it is found that due to leakage in the both pipes it took 2 hours more to fill
the tank. When the tank is completely full, in what time will the leak empty it?
a. 34 hours
b. 36 hours
c. 38 hours
d. 40 hours
34. In a race of 500m, A can beat B by 50m. In a race of 450m, B beats C by 50m. By how many
metres will A beat C in a race of 1500 m?
a. 105 m
b. 85 m
c. 115 m
d. 300 m
35. A thief steals a car at 1.30 p.m. and drives if off at 40 km/hr. The theft is discovered at 2 p.m.
and the owner sets off in another car at 50 km/hr. He will overtake the thief at
a. 4 pm
b. 4:30 pm
c. 6 pm
d. 5 pm
36. A train passes a man in 10 seconds and a platform 100 m long in 14 seconds. Find the speed of
the train.
a. 84 km/hr
b. 90 km/hr
c. 96 km/hr
d. 108 km/hr
37. A man can row at 6 km/h in still water. If the river is running at 2 km/h, it takes him 90 min to
row to a place and back. How far is the place?
a. 2.5 km
b. 3 km
c. 4 km
d. 5 km
38. A square pyramid is placed on a cubical box having same edge as that of its base. Height of
square pyramid is thrice that of box. Find the ratio of volume of square pyramid to that of box
a. 2 : 1
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b. 1 : 1
c. 1 : 2
d. 1 : 4
39. The base of a right prism is an equilateral triangle of side 6 cm and height of the prism is 14 cm.
The volume and LSA of the prism is –
a. 116√3 cm3, 252 cm2
b. 136√3 cm3, 242 cm2
c. 126√3 cm3, 252 cm2
d. 126√3 cm3, 238 cm2
40. A liquid is filled in a hemisphere of inner diameter 9 cm. This is to be poured into cylindrical
bottles of diameter 3 cm and height 4 cm. The number of bottles required are
a. 5
b. 8
c. 12
d. 7
41. The area of trapezium is 1120m2. If the parallel sides are in ratio of 6 : 8 and distance between
parallel side is 32m, then the length of smaller parallel side is
a. 40 m
b. 36 m
c. 32 m
d. 30 m
42. In a parallelogram, the lengths of the two adjacent sides are 12 cm and 14 cm respectively. If the
length of one diagonal is 16 cm, find the length of the other diagonal.
a. 14.6 cm
b. 20.6 cm
c. 18.3 cm
d. 25.2 cm
43. If the length of rectangle is decreased by 25% and its breadth is increased by 30% then by how
much percent its area is increased or decreased?
a. 2.5% increased
b. 2.5% decreased
c. 5% increased
d. 5% decreased
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44. The diameter of a wheel is 3 m. It makes 28 rotations in one minute. Time taken to cover 4.488
km by the wheel will be
a. 13 minutes
b. 17 minutes
c. 34 minutes
d. 42 minutes
45. If the point A(2, 3), B(K, 8) and C(7,2) are collinear, then find the value of K.
a. 23
b. 21
c. -23
d. 20
46. The measure of an angle whose supplement is three times as large as its complement is:
a. 45°
b. 75°
c. 60°
d. 30°
47. Find the third vertex of a triangle, if two of its vertices are at (2, 3) and (4, -2) and the centroid is
at (1, 1).
a. (-3, 2)
b. (4, -2)
c. (-1, 2)
d. (3, -2)
48. A chord AB of length 3√2 unit subtends a right angle at the centre O of a circle. Area of the
sector AOB (in sq. units) is
a. 9π/4
b. 5π
c. 9π
d. 9π/2
49. AC is a transverse common tangent to two circles with centres P and Q and radii 6cm and 3 cm
at the point A and C respectively. If AC cuts PQ at the point B and AB = 8cm then the length of
PQ is
a. 15
b. 12
c. 13
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d. 10
50. If each interior angle of a regular polygon is 140°, then the number of its sides is
a. 6
b. 9
c. 7
d. 5
51. A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC ⊥ BD, ∠CAD = θ. Then the angle
∠ABC =
a. θ
b. θ/2
c. 2θ
d. 3θ
52. If cos θ = 1/3 then, the value of (9 tan2 θ + 9) is
a. 1
b. 81
c. 9
d. 1/81
53. The least value of (4sec2θ + 9 cosec2θ) is
a. 1
b. 19
c. 25
d. 7
54. Maximum value of (6sinθ + 8cosθ) is –
a. 14
b. 1
c. 10
d. 28
55. A road curve is to be laid out on a circle. What radius should be used if the road is to change
direction by 36° in a distance of 65 metres?
a. 102.40 meters
b. 104.60 meters
c. 103.40 meters
d. 101.20 meters
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56. The angle of elevation of the top a tower form the base of a building is 60° and the angle of
elevation of the top of the building from the base of the tower is 30°. If the height of tower is
125 m, find the height of the building.
a. 37.66 m
b. 41.66 m
c. 39.76 m
d. 45.66 m
Direction (57-59): Study the following pie chart and answer the questions given below.
57. If the miscellaneous expense is Rs. 6000, what is advertisement cost?
a. Rs. 9000
b. Rs. 18000
c. Rs. 21000
d. None of these
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58. If the cost of printing is Rs. 17100, Royalty is
a. Rs. 11400
b. Rs. 15400
c. Rs. 5700
d. Rs. 3500
59. How much more is the sector angle for the cost of printing than the expense on paper?
a. 25°
b. 44°
c. 90°
d. 54°
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