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Wednesday (2/6/2021) 11am Test

Total questions: 60

Worksheet time: 3600secs

Name
Class
Date
1.

If 7 times the seventh term of an A.P. is equal to 11 times its eleventh term, the value of eighteenth term of the A.P. is

a)

0

b)

-8

c)

18

d)

77

2.

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3. Find the product of the first and fourth term of the A.P.

a)

12

b)

16

c)

20

d)

25

3.

Discover the whole of initial 17 terms of the A.P. 5, 9, 13, 17...

a)

627

b)

628

c)

629

d)

630

4.

Discover the sum of the arrangement = 2+5+8+...+182.

a)

5612

b)

5712

c)

5812

d)

5912

5.

In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

a)

2

b)

2.5

c)

3

d)

3.5

6.

40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?

a)

390

b)

405

c)

408

d)

415

7.

The average weight of 40 balls is 5 grams. When the weight of the basket is added to the weight of balls, the average increased by 0.5 grams. Find the weight of the basket?

a)

20.5 gm

b)

22.5 gm

c)

25.5 gm

d)

28.5 gm

8.

Mr.Suresh’s average monthly expenditure for the first four months of the year was Rs.260 For the next five months,the average monthly expenditure was Rs.40 more than what it was during the first four months. If he spent Rs.560 in all during the remaining three months of the year, Find what percentage of his annual income of Rs.5000 did he save in the year?

a)

42%

b)

48%

c)

38%

d)

24%

9.

Pinky was born on 29th, Feb 2016 which happened to be a Monday. If she lives to be till 2099, how many birthdays would she celebrate on a Monday?

a)

1

b)

2

c)

3

d)

5

10.

How many days will there be from 26th January, 1996 to 15th May, 1996(both days included)?

a)

110

b)

111

c)

112

d)

113

11.

Akshar remembers that the match is after 26th April but before 30th April, while Suresh remembers that the match is after 22nd April but before 28th April. On which date of April is the match?

a)

29

b)

26

c)

27

d)

28

12.

Divit's birthday is on Friday 30th June. On what day of the week will be Samar's Birthday in the same year if Samar was born on 15th November?

a)

Tuesday

b)

Friday

c)

Wednesday

d)

Saturday

13.

A watch gain 5 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day?

a)

10.27.41 AM

b)

8.51.04 AM

c)

9.45. 15 PM

d)

10.23.20 PM

14.

How many minutes does a watch lose per day, if its hands coincide every 64 minutes?

a)

36 7/9min

b)

32 8/11 min

c)

34 3/11 min

d)

65 5/11 min

15.

A watch loses 5 minutes every hour and was set right at 8 AM on a Monday. When will it show the correct time again?

a)

8 AM on Sunday

b)

8PM on Sunday

c)

8.15 AM on Sunday

d)

8.20 AM on Sunda

16.

At what time between 5.30 and 6 will the hands of a clock be at right angles?

a)

43 5/13 minutes past 5

b)

43 7/11 minutes past 5

c)

40 minutes past 4

d)

45 minutes past 4

17.

Find the mirror image of the clock when the time is 01:40

a)

11:20

b)

10:22

c)

10:20

d)

11:22

18.

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

a)

150

b)

144

c)

180

d)

16819

19.

Study the following information carefully to answer the given questions.

Eight friends Akil, Bima, Ezhil, Kaviya, Manoj, Jai, Kamal and Lalitha are sitting around a circular table facing the centre. All of them have a different profession Teacher, Engineer, Doctor, Advocate, Journalist, Judge, HR and Manager but not necessarily in the same order. Jai is third to the right of Kaviya, who is not HR and Manager. The one who is Judge is an immediate neighbour of Kamal and Ezhil. The one who is HR is second to the left of Jai, who is Advocate. The one who is Manager is opposite to Jai. Lalitha is not an immediate neighbour of either Ezhil or Jai but is third to the right of Bima. The persons who are Judge and Doctor sit opposite to each other. Lalitha is an Engineer. The one who is HR sits third to the left of the Doctor. The one who is Teacher and the one who is Manager are immediate neighbours. Akil is not a Teacher. Manoj is second to the right of Akil, who is an immediate neighbour of Jai and Lalitha.

Which of the following is the profession of Bima?

a)

Engineer

b)

Journalist

c)

HR

d)

Doctor

20.

Study the following information carefully to answer the given questions.

Eight friends Akil, Bima, Ezhil, Kaviya, Manoj, Jai, Kamal and Lalitha are sitting around a circular table facing the centre. All of them have a different profession Teacher, Engineer, Doctor, Advocate, Journalist, Judge, HR and Manager but not necessarily in the same order. Jai is third to the right of Kaviya, who is not HR and Manager. The one who is Judge is an immediate neighbour of Kamal and Ezhil. The one who is HR is second to the left of Jai, who is Advocate. The one who is Manager is opposite to Jai. Lalitha is not an immediate neighbour of either Ezhil or Jai but is third to the right of Bima. The persons who are Judge and Doctor sit opposite to each other. Lalitha is an Engineer. The one who is HR sits third to the left of the Doctor. The one who is Teacher and the one who is Manager are immediate neighbours. Akil is not a Teacher. Manoj is second to the right of Akil, who is an immediate neighbour of Jai and Lalitha.

Who among the following is HR?

a)

Ezhil

b)

Kamal

c)

Lalitha

d)

Either Ezhil or Kamal

21.

Study the following information carefully to answer the given questions

Eight persons A, B, C, D, E, F, G and H are sitting in a circle facing the centre. All of them has different heights such as 4 feet, 4.5 feet,5 feet, 5.5 feet, 6 feet, 6.5 feet, 7 feet and 7.5 feet but not necessarily in the same order.

A and B sit opposite each other and B is taller than only C, who is not neighbour of A, B is an immediate neighbour of F and D. The one who is the tallest sits opposite to H. The height of A is 6 feet. F who is just smaller than A, is fourth to the right of E, who is third to the right of C, H is smaller than only D, E is smaller than only 2 persons.

Which of the following is true with respect to the given arrangement ?

a)

C – 4 feet

b)

A – 5 feet

c)

G – 6 feet

d)

E – 4 feet

22.

II. Study the following information carefully to answer the given questions

R, S, T, U, V, W, X and Y are the member of a group of husband and wives. All are sitting around a circular table facing the centre. No 2 males or females are immediate neighbour of each other.

R sits 3rd to the left of V and she is wife of Y. W sits second to the right of U., who is not an immediate neighbour of V. Y and T are immediate neighbour of each other. W is not an immediate neighbour of his wife S. V is husband of the one who sits second to the left of R ,Who is not the immediate neighbour of U.

Who among the following is third to the right of T ?

a)

R

b)

U

c)

V

d)

S

23.

Study the following information carefully to answer the given questions.

In a Public Sector Undertaking Township, there are five executives – Ambrish, Amit, Rohit, Manu and Tarun and they stay in flats, numbered 1 to 5.

1. Two of them play Cricket while the other three play different games viz. Football, Tennis and Chess.

2. One Cricket player and a Chess player stay in the third flat, whereas the other three stay in different flats, i.e. 2nd, 4th and 5th.

3. Two of these five players are mechanical engineers while the other three are quality inspector, design engineer, and power engineer respectively.

4. The chess player is the oldest in age while one of the cricket players, who plays at the national level, is the youngest in age.

5. The age of the other cricket player, who plays at the regional level, lies between the football player and the chess player.

6. Manu is a regional level player and stays in the 3rd flat while Tarun is a quality inspector and stays in the 5th flat.

7. The football player is a design engineer and stays in the 2nd flat.

8. Amit is a power engineer and plays Chess while Ambrish is the mechanical engineer and plays Cricket at the national level.

Who stays in the 4th flat?

a)

Ambrish

b)

Amit

c)

Rohit

d)

Manu

24.

Study the following information carefully to answer the given questions.

In a Public Sector Undertaking Township, there are five executives – Ambrish, Amit, Rohit, Manu and Tarun and they stay in flats, numbered 1 to 5.

1. Two of them play Cricket while the other three play different games viz. Football, Tennis and Chess.

2. One Cricket player and a Chess player stay in the third flat, whereas the other three stay in different flats, i.e. 2nd, 4th and 5th.

3. Two of these five players are mechanical engineers while the other three are quality inspector, design engineer, and power engineer respectively.

4. The chess player is the oldest in age while one of the cricket players, who plays at the national level, is the youngest in age.

5. The age of the other cricket player, who plays at the regional level, lies between the football player and the chess player.

6. Manu is a regional level player and stays in the 3rd flat while Tarun is a quality inspector and stays in the 5th flat.

7. The football player is a design engineer and stays in the 2nd flat.

8. Amit is a power engineer and plays Chess while Ambrish is the mechanical engineer and plays Cricket at the national level.

Which sport does Tarun play?

a)

Chess

b)

Foot Ball

c)

Cricket

d)

Tennis

25.

Study the following information carefully and answer the given questions.

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other.

In row 1: P, Q, R, S, T and V are seated and all of them are facing South.

In row 2: A, B, C, D, E and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q, either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F, neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D

Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?

a)

B-T

b)

F-P

c)

C-V

d)

E-Q

26.

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1, Anika, Bianca, Catlyn, Dhruv, Esha and Feroj are sitting facing South. In row 2, Parul, Qadir, Rudra, Saumya, Tanuj and Vikram are sitting facing North. Therefore, in the given seating arrangement, each member sitting in a row faces another member of the other row. Three persons sit between Catlyn and Dhruv. Either Catlyn or Dhruv sits at an extreme end of the line. The one who faces Dhruv sits third to the left of Rudra. Saumya faces the one who sits third to the left of Anika and he cannot sit adjacent to Rudra. The immediate neighbour of Qadir faces the immediate neighbour of Anika. Only one person sits between Parul and Tanuj, who is facing the one sitting on the immediate right of Esha. Neither Esha nor Feroj faces Rudra. Vikram and Qadir cannot sit adjacent to each other

Who among the following faces Bianca?

a)

Parul

b)

Qadir

c)

Tanuj

d)

Rudra

27.

Refer to the following graph about Imports of various commodity groups.

The import of Consumer Goods in 1960-61 cost how much Rs (in crore)?

a)

245

b)

108

c)

395

d)

305

28.

Refer to the following graph about Imports of various commodity groups.

What is the difference in the percentage of import of raw materials to the total from 1970-71 to 1980-81?

a)

10

b)

15

c)

17

d)

None

29.

Study the given information to answer the question given below

If 500 copies are published and the transportation cost on the amount to Rs.2,500 then what should be the selling price of the book so that the publisher can earn a profit of 25%?

a)

Rs.62.5

b)

Rs.65.2

c)

Rs.62.2

d)

Rs.65.5

30.

Study the given information to answer the question given below

If for an edition of the book, the cost of the paper is Rs.6250, then find the promotion cost for this edition ?

a)

Rs.2300

b)

Rs.4300

c)

Rs.2500

d)

Rs.2200

31.

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

a)

1: 3

b)

3: 1

c)

2: 1

d)

1: 2

32.

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

a)

2

b)

1

c)

3

d)

4

33.

Study the following graph carefully to answer the given Questions

The no of magazines distributed by company R is what % of the no of Magazine distributed by Company U ?

a)

124%

b)

116%

c)

120%

d)

104%

34.

Study the following graph carefully to answer the given Questions

What was the average no of Magazine published by Company Q,S and T together ?

a)

5231

b)

5545

c)

5533

d)

6543

35.

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

What is the rate of interest on a sum of money?

I. The difference between SI and CI obtained on the sum of money at the end of 2 years at same rate is Rs 80.

II. At the end of 3 years, a total of Rs 3000 is obtained as the CI.

a)

B

b)

C

c)

D

d)

E

36.

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

What is the area of the circle?

I. The diameter of the circle is 70cm less than its circumference

II. The radius of the circle is equal to the length of a rectangle whose perimeter is 64cm.

a)

A

b)

B

c)

C

d)

D

37.

Which direction is Nirmal facing at the moment ?

I.Nirmal took 2 consecutive right turns after covering a distance of 6m to reach the point A.

II.After walking 4m early morning from point A, Nirmal is facing opposite direction of the sun.

a)

If the data in statement I alone are sufficient

b)

If the data in statement II alone are sufficient

c)

If the data either in statement I alone or statement II alone are sufficient to answer

d)

If the data given in both I and II together are not sufficient

38.

What was the grand total of Blue team of College PO ?

I.Manish correctly remembers that Blue team scored a grand total of above 82 but below 91

II.Arvind correctly remembers that Blue team scored above 77 and below 84

a)

If the data in statement II alone are sufficient

b)

If the data either in statement I alone or statement II alone are sufficient to answer

c)

If the data given in both I and II together are not sufficient

d)

If the data in both the statements I and II together are necessary to answer

39.

(|x| - 3) (|y| + 4) = 12. How many pairs of integers (x,y) satisfy this equation?

a)

4

b)

6

c)

10

d)

8

40.

x 2 - 9x + |k| = 0 has real roots. How many integer values can 'k' take?

a)

40

b)

21

c)

20

d)

41

41.

I. 3x2 – 25x + 52 = 0,

II. 3y2 – 10y – 8 = 0

a)

If x > y

b)

If x < y

c)

If x ≥ y

d)

If x ≤ y

42.

I. 3x2 + 7x – 6 = 0,

II. 4y2 – 13y – 12 = 0

a)

If x < y

b)

If x ≥ y

c)

If x ≤ y

d)

If x = y or relation cannot be established

43.

In the given figure D, E and F are mid points of AB, AC and BC respectively. P, Q and R are mid points of DE, DF and EF. Find ratio of area of triangle PQR to that of parallelogram ADFE.

a)

1: 8

b)

1: 8

c)

1: 4

d)

1: 5

44.

A triangle ABC is inscribed inside a circle. Bisectors of the angle ∠A,∠B and ∠C meet the circle at P,Q and R respectively. Then find ∠PQR.

a)

90° - (1/2)∠ABC

b)

45° - (1/2)∠ABC

c)

180° - (1/2)∠ABC

d)

90° + (1/2)∠ABC

45.

The diagonal of a square is twice the side of equilateral triangle then the ratio of Area of the Triangle to the Area of Square is?

a)

√3:8

b)

√3:4

c)

√2:8

d)

√2:3

46.

The Parallelogram PQRS, the line RS have midpoint T from line PQ. What is the ratio of Triangle PTS / parallelogram PQRS?

a)

2/1

b)

1/2

c)

1/3

d)

1/4

47.

If log3[log2 (x2 – 4x – 37)] = 1, where ‘x’ is a natural number, find the value of x.

a)

9

b)

7

c)

10

d)

4

48.

If log5y – logsub>5√y = 2 logy 5, then find the value of y.

a)

25

b)

35

c)

10

d)

15

49.

The least value of the expression 2log_10(x) – log_x(1/100) for x>1 is:

a)

2

b)

3

c)

4

d)

5

50.

Which of the following statements is not correct?

a)

log10 = 1

b)

log (2 + 3) = log (2 x 3)

c)

log1 = 0

d)

log (1 + 2 + 3) = log 1 + log 2 + log 3

51.

A cone and a cylinder are of the same height. Their radii of their base are in ratio of (2 : 1). The ratio of their volumes is

a)

5/3

b)

7/3

c)

4/3

d)

6/3

52.

The total surface area of a cylinder is 2/9 times the total surface area of a sphere. If the ratio of the curved surface area of the cylinder is 2: 3 by the difference between the curved surface area of the cylinder and the total surface area of the top and bottom of the cylinder, find the volume of the sphere. It is given that the volume of cylinder is 3234 cubic.cm.

a)

38808

b)

32804

c)

36408

d)

34202

53.

If the diagonals of two squares are in the ratio of 2 : 5, their area will be in the ratio of

a)

root2 : root 5

b)

2 : 5

c)

4 : 25

d)

4 : 5

54.

The perimeter of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is :

a)

31 cm

b)

62 cm

c)

124 cm

d)

961 cm

55.

A butler stole wine from a butt of sherry, which contained 30% spirit and he replaced with wine, which he had stolen, containing 12% spirit. The wine had then of 18% spirit. How much of the original wine did he steal?

a)

2/3

b)

1/3

c)

2/5

d)

None

56.

20 litres of milk is taken out from a vessel containing 200 litres of pure milk and replaced with water. This process of replacement was repeated x number of times to leave 145.8 litres of pure milk in the mixture. Find the value of x.

a)

3

b)

5

c)

2

d)

4

57.

60 kg of a certain variety of Sugar at Rs.32 per kg is mixed with 48 kg of another variety of sugar and the mixture is sold at the average price of Rs.28 per kg. If there be no profit or no loss due to the new selling price, then what is the price of second variety of Sugar?

a)

Rs.25

b)

Rs.23

c)

Rs.29

d)

Rs.27

58.

Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?

a)

18 litre

b)

16 litre

c)

14 litre

d)

12 litre

59.

Find out how the key figure (X) look will like after rotation.

a)

a

b)

b

c)

c

d)

d

60.

Out of the given answer figures, which is the correct one to replace the empty box

a)

B

b)

D

c)

A

d)

C