1.

The bar graph given below represents the revenue of a firm for 8 years. All the revenue figures have been shown in terms of Rs. crores.


By what percentage has the revenue of the firm decreased in 2010 with respect to the last year ?


a

11.11

b

14.44

c

13.33

d

15.38


2.

In how many years, the revenue of the firm is less than the average revenue for these 8 years ?


a

3

b

4

c

6

d

5


3.

In which year the firm has shown maximum percentage increase in its revenue with respect to the previous year ?


a

2011

b

2016

c

2014

d

All are equal


4.

What is the total value of revenue of the firm (in Rs. crores) in years 2010, 2011 and 2012?


a

930

b

910

c

1020

d

950


5.

In the following question, which one of the given responses would be a meaningful order of the following words in ascending order ?


In triangle ABC,BAC=75,ABC=45BCmathrm{ABC}, angle mathrm{BAC}=75^{circ}, angle mathrm{ABC}=45^{circ} cdot overline{mathrm{BC}} is produced to Dmathrm{D}. If ACD=xangle mathrm{ACD}=x^{circ}, then x3%frac{x}{3} \% of 6060^{circ} is


a

15°

b

24°

c

30°

d

48°


6.

If x=3+22x=3+2 sqrt{2}, the value of x2+1x2x^{2}+frac{1}{x^{2}} is


a

32

b

30

c

36

d

34


7.

If 2 A=3 B2 mathrm{~A}=3 mathrm{~B}, then what is the value of (A+B)A?frac{(mathrm{A}+mathrm{B})}{mathrm{A}} ?


a

54frac{5}{4}

b

53frac{5}{3}

c

23frac{2}{3}

d

52frac{5}{2}


8.

When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is


a

42 per cent

b

33.2 per cent

c

46.4 per cent

d

37.6 per cent


9.

Equation of a line is taken as 3x – 4y + 5 = 0. Its slope and intercept on y-axis ;


a

(34,54)left(frac{3}{4}, frac{-5}{4} ight)

b

(34,54)left(frac{3}{4}, frac{5}{4} ight)

c

(34,54)left(frac{-3}{4}, frac{-5}{4} ight)

d

(54,34)left(frac{5}{4}, frac{3}{4} ight)


10.

If ab+ba1=0frac{a}{b}+frac{b}{a}-1=0, then the value of a3+b3a^{3}+b^{3} is


a

0

b

–1

c

3

d

1


11.

At an instant, the length of the shadow of a pole is 3sqrt{3} times the height of the pole. The angle of elevation of the Sun at that moment is


a

60°

b

30°

c

45°

d

75°


12.

If θ is positive acute angle and 3 (sec²θ + tan²θ ) = 5, then which one is true ?


a

cos 2θ = sin 2θ

b

cos 2θ = cos θ

c

cos 2θ = tan θ

d

cos 2θ = sin θ


13.

A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone?

(Take π=227pi=frac{22}{7} )


a

6.67 cm

b

2.22 cm

c

3.33 cm

d

1.67 cm


14.

The average marks obtained by 180 students in an examination is 50. If the average marks of passed students is 80 and that of the failed students is 40, then what is the number of students who failed the examination ?


a

45

b

90

c

135

d

100


15.

A fraction becomes 911frac{9}{11}, if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 56frac{5}{6}. What is the fraction?


a

79frac{7}{9}

b

710frac{7}{10}

c

37frac{3}{7}

d

59frac{5}{9}


16.

A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 850 g instead of 1 kg. His gain percent is


a

711117%71 frac{11}{17} \%

b

111117%11 frac{11}{17} \%

c

171217%17 frac{12}{17} \%

d

171117%17 frac{11}{17} \%


17.

If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage ?


a

3323%33 frac{2}{3} \%

b

20%20 \%

c

3313%33 frac{1}{3} \%

d

40%40 \%


18.

If cosC – cosD = y, then the value of y is


a

2cos(C+D2)cos(CD2)-2 cos left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot cos left(frac{mathrm{C}-mathrm{D}}{2} ight)

b

2sin(C+D2)sin(CD2)2 sin left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot sin left(frac{mathrm{C}-mathrm{D}}{2} ight)

c

2cos(C+D2)cos(CD2)2 cos left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot cos left(frac{mathrm{C}-mathrm{D}}{2} ight)

d

2sin(C+D2)sin(CD2)-2 sin left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot sin left(frac{mathrm{C}-mathrm{D}}{2} ight)


19.

Profit obtained on selling an article for Rs. 310 is equal to the loss incurred on selling that article for Rs. 230. What will be the loss percentage when selling price is Rs. 180?


a

1623%16 frac{2}{3} \%

b

3313%33 frac{1}{3} \%

c

1613%16 frac{1}{3} \%

d

3323%33 frac{2}{3} \%


20.

A certain sum of money will be doubled in 15 years at the rate of simple interest percent per annum of


a

512%5 frac{1}{2} \%

b

6%6 \%

c

25%25 \%

d

623%6 frac{2}{3} \%


21.

The average age of four members of a family is 32 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest ?


a

12

b

52

c

56

d

44


22.

A train 150 metres long crosses a milestone in 15 seconds and crosses another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train in km/hr is


a

52

b

56

c

58

d

54


23.

If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is


a

17

b

9

c

8

d

10


24.

In a ’ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD is


a

80°

b

90°

c

60°

d

100°


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