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Q. 1.

A fraction becomes $\frac{6}{5}$ when 5 is added to its numerator and becomes $\frac{1}{2}$ when 4 is added to its denominator. What will be the value of the fraction?

Select the correct answer

$\frac{8}{9}$

$\frac{7}{10}$

$\frac{7}{8}$

$\frac{6}{11}$

Correct Answer is: B

Solution:

Q. 2.

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

Select the correct answer

11 $\frac{1}{2}$

12 $\frac{1}{2}$

13 $\frac{1}{2}$

14 $\frac{3}{2}$

Correct Answer is: B

Solution:

Q. 3. The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a _____ .

Select the correct answer

trapezium

rectangle

parallelogram

square

Correct Answer is: C

Solution:

Q. 4. What is the discount percentage offered on a book having marked price Rs. 2150 being sold at Rs. 1892?

Select the correct answer

12%

13%

14%

16%

Correct Answer is: A

Solution:

Q. 5.

Rs. 60500 is divided among A, B, and C such that A receives $\frac{2}{9}$ as much as B and C together and B receives $\frac{3}{7}$ of as much as A and C together. What is the share of C (in Rs.)?

Select the correct answer

29850

30120

31350

37250

Correct Answer is: C

Solution:

Q. 6. The average age of a class of 6 girls is x years. Four new girls having ages x - 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

Select the correct answer

x + 1

x + 2

2.5x

x + 2.5

Correct Answer is: A

Solution:

Q. 7. A dealer sells two machines at Rs. 12000 each. On one it gains 32% and on the other it looses 32%. What is its profit/loss percentage in the whole transaction?

Select the correct answer

No gain and no loss

1% loss

18% profit

10.24% loss

Correct Answer is: D

Solution:

Q. 8. How much water (in litres) must be added to 80 L solution of milk and water containing 10% milk, so-that it becomes a 5% milk solution?

Select the correct answer

Correct Answer is: D

Solution:

Q. 9.

A bus travels $\frac{2}{5}$ of a total journey at its usual speed. The remaining distance was covered by a bus at $\frac{6}{7}$ of its usual speed. Due to slow speed, it reaches its destination 50 minutes late. If the total distance is 200 km, then what is the usual speed (in km/hr) of bus?

Select the correct answer

20.57

26.52

Correct Answer is: B

Solution:

Q. 10. For an amount, simple interest at the rate of interest of 12% per annum for 6 years is Rs. 25920. What will be the compound interest (in Rs) on same amount at the rate of interest of 8% per annum compounding annually for 2 yr?

Select the correct answer

4326.3

5563.4

5886.6

5990.4

Correct Answer is: D

Solution:

Q. 11.

if $α$ and $β$ are the roots of the equation $3 x^{2} - 13 x + 14 = 0,$

$t h e n f i n d t h e v a l u e o f (\frac{α}{β}) + (\frac{β}{α})$

Select the correct answer

$\frac{65}{28}$

$\frac{53}{14}$

$\frac{85}{42}$

Correct Answer is: D

Solution:

Q. 12.

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of $a^{3} + b^{3} + c^{3} - 3 a b c$ ?

Select the correct answer

189

243

361

486

Correct Answer is: B

Solution:

Q. 13.

If $\frac{x}{y} + \frac{y}{x} = 1$ , then what is the value of $x^{3} + y^{3}$ ?

Select the correct answer

-1

Correct Answer is: B

Solution:

Q. 14.

If $5^{x} = 30^{- y} = 6^{z}$ , then what is the value of

$(\frac{x y + y z + z x}{x y z})$

Select the correct answer

Correct Answer is: A

Solution:

Q. 15.

The internal bisectors of angle Q and angle R of triangle PQR meet at O. If angle P = $70^{°}$ , then what is the measure of angle QOR (in degrees)?

Select the correct answer

$110^{°}$

$115^{°}$

$125^{°}$

$135^{°}$

Correct Answer is: C

Solution:

Q. 16.

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

Select the correct answer

5:7

25:49

125:343

$\sqrt{5} : \sqrt{7}$

Correct Answer is: D

Solution:

Q. 17.

ABCD is an isosceles trapezium such that AD parallel to BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in $c m^{2}$ ) of trapezium?

Select the correct answer

144

Correct Answer is: B

Solution:

Q. 18.

In the given figure. ABC is an equilateral triangle. If the area of a bigger circle is 1386 $c m^{2}$ , then what is the area (in $c m^{2}$ ) of a smaller circle?

Select the correct answer

144

154

288

462

Correct Answer is: B

Solution:

Q. 19.

What is the simplified value of $(\frac{\tan^{2} θ - \sin^{2} θ}{\tan^{2} θ . \sin^{2} θ})$

Select the correct answer

-1

Correct Answer is: C

Solution:

Q. 20.

If sec (3x - $20^{°}$ ) = cosec (3y + $20^{°}$ ), then what is the value of tan (x + y)?

Select the correct answer

$\sqrt{3}$

$\frac{1}{\sqrt{3}}$

$2 \sqrt{3}$

Correct Answer is: C

Solution:

Q. 21.

If $c o t A = \frac{n}{n + 1} a n d c o t B = \frac{1}{2 n + 1}$ , then what is the value of $c o t (A + B)$

Select the correct answer

-1

Correct Answer is: A

Solution:

Q. 22.

The bar chart given below shows the sales of 3 types of cars in the Indian automotive industry over 4 yr. All the sales figures have been shown in terms of '000 units.

Which of the following type of car has the highest increase in sales from 2009 to 2012?

Hatchback

Both SUV and Hatchback

SUV

sedan

Correct Answer is: C

Solution:

Q. 23.

The bar chart given below shows the sales of 3 types of cars in the Indian automotive industry over 4 yr. All the sales figures have been shown in terms of '000 units.

What is the simple annual growth rate (in %) in the sales of SUV from 2009 to 2012?

100

133.3

150

Correct Answer is: C

Solution:

Q. 24.

The bar chart given below shows the sales of 3 types of cars in the Indian automotive industry over 4 yr. All the sales figures have been shown in terms of '000 units.

What is the respective ratio of total sales of Sedan and total sales of SUV over the period of 4 yr ?

23 : 31

29 : 39

43 : 31

76 : 47

Correct Answer is: C

Solution:

Q. 25.

The bar chart given below shows the sales of 3 types of cars in the Indian automotive industry over 4 yr. All the sales figures have been shown in terms of '000 units.

If all the 3 categories increase by same rate in 2013 over 2012 as they did in 2012 over 2011, then what will be the total approximate sales (in ?000 units) of all the 3 categories taken together in year 2013 ?

2152

2345

3069

3568

Correct Answer is: C

Solution:

Q. 26. What is the LCM of 64 and 56?

Select the correct answer

448

488

484

408

Correct Answer is: A

Solution:

Q. 27. A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

Select the correct answer

Correct Answer is: A

Solution:

Q. 28.

What is the diameter (in cm) of a sphere of surface area 154 cm²?

Select the correct answer

3.5 cm

14 cm

10.5 cm

7 cm

Correct Answer is: D

Solution:

Q. 29. A Rs. 100 shirt is offered at 10% discount and a Rs. 300 pair of trousers at 20% discount. If Pritam bought 1 shirt and 3 pairs of trousers, what is the effective discount he got?

Select the correct answer

18%

17%

16%

Correct Answer is: A

Solution:

Q. 30.

A's wealth is MathML (base64):PG1hdGggbWF0aHNpemU9IjE0Ij4KICAgIDxtZnJhYz4KICAgICAgICA8bWk+NTwvbWk+CiAgICAgICAgPG1yb3c+CiAgICAgICAgICAgIDxtcm93PgogICAgICAgICAgICAgICAgPG1uPjc8L21uPgogICAgICAgICAgICA8L21yb3c+CiAgICAgICAgPC9tcm93PgogICAgPC9tZnJhYz4KPC9tYXRoPg== times of B's and C's is times of B's. What is the ratio of C's wealth to A's?

Select the correct answer

49 : 100

1 : 2

2 : 1

100 : 49

Correct Answer is: C

Solution:

Q. 31. The average of four consecutive odd numbers is 64. What is the value of largest number?

Select the correct answer

Correct Answer is: D

Solution:

Q. 32. If a wholesaler, sells a box of chocolates at Rs. 960 he gains 20%. Now if he decides to sell it at Rs. 1120, what is his profit percentage?

Select the correct answer

30%

40%

50%

60%

Correct Answer is: B

Solution:

Q. 33. A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?

Select the correct answer

200%

33.30%

300%

25%

Correct Answer is: C

Solution:

Q. 34. If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance travelled by him?

Select the correct answer

5.5 km

6.5 km

4.5 km

7.5 km

Correct Answer is: C

Solution:

Q. 35. Ganesh invested an amount of Rs. x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs. 9660 after two years. What is the value of x ?

Select the correct answer

Rs. 9000

Rs.8000

Rs. 8500

Rs. 8200

Correct Answer is: B

Solution:

Q. 36.

Read the following question carefully and answer the question.

Select the correct answer

-15

7/5

-7/5

Correct Answer is: C

Solution:

Q. 37.

If a - b = 4 and ab = -3, then what is the value of a² - b² ?

Select the correct answer

-20

Correct Answer is: B

Solution:

Q. 38. Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?

Select the correct answer

2/9

5/4

4/5

9/2

Correct Answer is: D

Solution:

Q. 39. The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

Select the correct answer

Correct Answer is: C

Solution:

Q. 40. What is the reflection of the point (4, -3) in the line y = -2?

Select the correct answer

(4, 1)

(-4, 1)

(-4, -1)

(4, -1)

Correct Answer is: D

Solution:

Q. 41. The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

Select the correct answer

-7

-6

Correct Answer is: B

Solution:

Q. 42. What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

Select the correct answer

3x - 5y = 15

3x + 5y = 15

3x - 5y = -15

3x + 5y = -15

Correct Answer is: A

Solution:

Q. 43.

D and E are points on side AB and AC of triangle ABC. DE is parallel to BC. If AD : DB = 2 : 7 and the area of triangle ADE is 8 cm², what is the area of quadrilateral BDEC?

Select the correct answer

98 cm²

94 cm²

90 cm²

86 cm²

Correct Answer is: C

Solution:

Q. 44.

Select the correct answer

Correct Answer is: B

Solution:

Q. 45.

Select the correct answer

Correct Answer is: C

Solution:

Q. 46.

Select the correct answer

5/13

12/5

12/13

5/12

Correct Answer is: A

Solution:

Q. 47.

The bar graph shows revenues (in Rs. lakh) from selling four different products (A, B, C, D) by a certain company. Study the diagram and answer the following questions.

Revenues from which product were the least in both the years 2015 and 2016?

Correct Answer is: A

Solution:

Q. 48.

The bar graph shows revenues (in Rs. lakh) from selling four different products (A, B, C, D) by a certain company. Study the diagram and answer the following questions.

By what value (in %) the revenue from sale of product B in 2016 was greater than that of 2015?

0.5

Correct Answer is: B

Solution:

Q. 49.

The bar graph shows revenues (in Rs. lakh) from selling four different products (A, B, C, D) by a certain company. Study the diagram and answer the following questions.

By what amount (in Rs. crore) the total revenue by selling all the four products in 2016 is greater than that of 2015?

0.75

1.5

1.25

Correct Answer is: D

Solution:

Q. 50.

The bar graph shows revenues (in Rs. lakh) from selling four different products (A, B, C, D) by a certain company. Study the diagram and answer the following questions.

If the cost of producing and selling the four products was Rs. 10 crores each in 2015 and 2016 then what is the cumulative profit (in Rs. lakh) earned in the years 2015 and 2016?

Rs. 75

Rs. 25

Rs. 50

Rs. 100

Correct Answer is: B

Solution:

Q. 51. What is the remainder when 2468 is divided by 37?

Select the correct answer

Correct Answer is: A

Solution:

Q. 52. A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

Select the correct answer

40/7 days

24/7 days

7/2 days

9/2 days

Correct Answer is: B

Solution:

Q. 53. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

Select the correct answer

Correct Answer is: D

Solution:

Q. 54. At 20% discount the selling price of an article is Rs 2400, what is the selling price (in Rs) if the discount is 32.5%?

Select the correct answer

Rs. 2125

Rs. 2225

Rs. 2025

Rs. 2325

Correct Answer is: C

Solution:

Q. 55. What is the fourth proportional to 24, 120 and 22?

Select the correct answer

110

120

100

Correct Answer is: A

Solution:

Q. 56. What is the average of all numbers between 8 and 74 which are divisible by 7?

Select the correct answer

Correct Answer is: C

Solution:

Q. 57. A trader had 1200 kg of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) rice did he sell at 5% profit?

Select the correct answer

900 kg

600 kg

400 kg

800 kg

Correct Answer is: D

Solution:

Q. 58. 20% of a = b, then b% of 20 is the same as _____ of a.

Select the correct answer

40%

80%

Correct Answer is: C

Solution:

Q. 59. After excluding stoppages, the speed of a bus is 60 km/h and after including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

Select the correct answer

10 min

9 min

12 min

15 min

Correct Answer is: D

Solution:

Q. 60. The simple and compound interest that can be earned in two years at the same rate is Rs 1000 and Rs 1040 respectively. What is the rate (percent per annum) of interest?

Select the correct answer

10%

11%

Correct Answer is: C

Solution:

Q. 61. If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

Select the correct answer

-23/2

13/2

-13/2

23/2

Correct Answer is: D

Solution:

Q. 62.

If a - b = 2 and ab = 24, then what is the value of a³ - b³?

Select the correct answer

124

140

152

Correct Answer is: D

Solution:

Q. 63.

Sum of twice a fraction and its reciprocal is $\frac{17}{6}$ . What is the fraction?

Select the correct answer

$\frac{4}{3}$

$\frac{5}{4}$

$\frac{3}{4}$

$\frac{4}{5}$

Correct Answer is: C

Solution:

Q. 64. The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

Select the correct answer

Correct Answer is: C

Solution:

Q. 65. What is the reflection of the point (4, 7) in the line y = -1?

Select the correct answer

(-6, 7)

(-4, -9)

(4, -9)

(-6, -7)

Correct Answer is: C

Solution:

Q. 66. What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

Select the correct answer

(1, -3)

(1, 3)

(1, -3)

(-1, -3)

Correct Answer is: B

Solution:

Q. 67. Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?

Select the correct answer

-14

12.5

-4

Correct Answer is: C

Solution:

Q. 68. D and E are points on side AB and AC of triangle ABC. DE is parallel to BC. If AD:DB = 2 : 3, what is the ratio of area of triangle ADE and area of quadrilateral BDEC?

Select the correct answer

4 : 21

4 : 25

4 : 29

4 : 9

Correct Answer is: A

Solution:

Q. 69.

What is the value of Cot 60? -Cos 45? ?

Select the correct answer

Correct Answer is: D

Solution:

Q. 70.

Triangle PQR is right angled at Q. If angle R = 60^°, what is the length of PR (in cm), if RQ = 4 $\sqrt{3}$ cm?

Select the correct answer

Correct Answer is: D

Solution:

Q. 71.

Select the correct answer

40/41

9/41

41/40

41/9

Correct Answer is: C

Solution:

Q. 72.

There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.

Which taxi company has more taxis than A but less than D?

Correct Answer is: B

Solution:

Q. 73.

There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.

If 30 taxis quit company B and joined company D then D will have how many more taxis than C?

110

Correct Answer is: D

Solution:

Q. 74.

There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.

Even if A and C decide to merge, still D will have how many more taxis (in %) than the merged A and C entity?

Correct Answer is: D

Solution:

Q. 75.

There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.

If each taxi on an average runs 100 km every day and if fuel cost is Rs. 3 per km, then all these taxis spend how much (in Rs.) on fuel every day?

Rs. 128000

Rs. 108000

Rs. 118000

Rs. 98000

Correct Answer is: B

Solution:

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