Polestar : Written Test


 1.      Pipe A is kept open throughout the time while Pipe B is open for the first 8 minutes. After two minutes of closing of Pipe B. Pipe C is opened and kept open till the tank is full. Piped D is opened for the last 15 minutes. Each pipe is fill an equal share of tank. Pipe C and Pipe D can fill the tank together in 24 minutes. In how much time (in minutes) Pipe A alone can fill the tank of same capacity.

               50

               60

               75

               80

2.          Four digits numbers are formed by using the digits from 0 to 4 without repetition. The probability that a number thus formed is divisible by 3 is

 

3/8

1/2

5/8

3/4

 

3.      A cube is pointed with blue on two faces and green on one face. None of the paus of opposite faces have more than one face painted The cube is cut into 513 smaller identical cubes, How many smaller cubes have at least two faces painted?

 

24

20

22

26

 

4.      There are eight people in a family viz. M. K. A. C.D.E. G and H consists of 3 generations, four of them are female D and Aare the daughter and son of Respectively and both are married. E is the sister of H whose father is C. M and G are of 3rd generation and Mis the son-in-law of E K is the brother-law of Who among the following is sister-in-law of D

 

H

A

M

G

 

 


 

5.      What is the maximum number of pieces of 5 cm x5 cm x 10 cm of cake that can be cut from a big cake of 5cm x 30 cm x 30 cm size?

 

10

18

15

30

6.      The bead seller arranges some bead in multilayer box. The first layer of the box was square saved with 4 rows and 6 columns. Each layer was 1 less in each dimension of the previous layer. what will be the maximum number of beads that could have been in 3rd layer from the first?

 

4

8

12

24

 

7.      Nishant walks 30 meter in the north direction, after that he took a right turn and walks 40 meters. After that he took a right turn and walks 40 meters more and finally he took a right turn and stop after walking 40 metres find the distance of Nishanth from the initial position

 

5

10

15

20

 

8.      Consider the following statements followed by 2 conclusions ‘r’nstatements : ‘r’nsome men are great. ‘r’nsome men are wise. ‘r’ncoclusion I: men are either great or wise. ‘r’ncoclusion II: some men are neither great nor wise ‘r’nWhich which one of the following is correct

 

only conclusion I is valid

only conclusion II is valid

both the conclusions are valid

neither of the conclusion is valid

9.      A tree breaks at some point and touches the ground with the tip making 30 degree with the ground if the tree was 30 meter tall find the height from the ground where it broke

 

10M

12M

15M

16M

 

10.   One day Raj left home and what 5 kilometres northwards turn right and walked for 10 kilometres and turned left and walked 5 kilometre more and finally turn left and walked 10 kilometre. How many kilometres will he have to walk to reach his home straight (in Km)

15

10

25

5

 

11.   J is the only son of R. J is the brother of L. L’s father-in-law is W. L’S son is K. K’s maternal grandfather is D. W’s son is Q and M is the daughter of Q. How is M related to L?

 

Daughter

Mother

Brother

Sister

 

12.   given below are the 2 quantities named A and B. based on the given information, you have to determine the relation between the 2 quantities. you should use the given data and your knowledge of mathematics to choose between the possible answers. ‘r’n’r’nQuantity A: 4X2+24X+36 = 0‘r’n’r’nQuantity B: 5Y2+20Y+20 = 0

 

Quantity A > quantity B

Quantity A < quantity B

Quantity A>= quantity B

Quantity A<= quantity B

 

13.   Arnab is twice as fast as Bhanu. and Bhanu is 1/3 as fast as chandu. if together they can complete work in 30 days, in how many days can Arnab Bhanu and chandu do the work respectively?

 

50,180,60

70,180,60

90,180,60

80,180,60

 

14.   The difference between the compound interest and simple interest earned on a sum of money at the end of 4 year is rupees 256.40. find out the sum, which of the following information given in the statement P&Q is/are necessary? r’nP: Amount of simple interest occurred after 4 years. r’nQ: Rate of the interest per annum

 

Only P is necessary

either P or Q is necessary

Both P and Q are necessary

Only Q is necessary

 

15.   Due to increase in 30% price of eggs. 3 eggs less are available for ₹7.80. the present rate of eggs per dozen is

 

₹8.64

₹10.40

₹8.88

₹9.36

 

16.   Rishabh books and binding works prepares 24 cm X 24 cm Drawing sheet. Ramu, a worker in the unit is supposed to pack less than 250 sheets per hour into bundles. pack 6 sheets less per bundle, then he can pack 12 bundles more per hour. find the number of sheets in packs per hour, if he packs at least 15 bundles per hour

 

224

223

215

214

 

17.   Bronze is an alloy of copper and tin in the ratio 5:1, brass, and alloy of copper and zinc, consist of these elements in the ratio 2:3. A new alloy is found by melting bronze and brass, search that the contribution of copper to the new alloy is equal from brass and bronze. by what percent is the quantity of zinc present, more than the quantity of tin, in the new alloy?

760

650

500

540

 

18.   Which I can do a piece of work in 24 days. package can do the same work in 30 days and Vinod in 40 days. Vijay and Vinod worked for 4 days and handed it to the Rakesh. Rakesh worked for some days and handed it again to Vijay and Vinod 6 days before completing the work. for how many days did Rakesh work?

 

20

10

5

10

 

19.   P Q and R are the partners. They altogether invested rupees 14000 in business. add the end of year, P go to ₹337.50, Q got ₹637.50, and R got 1125. what is the difference between the investment of R and P?

 

2200

3200

4200

5250

 

20.   Radhe Does 70% of some work in 15 days, later with shyam’s help she complete the remaining work in 4 days. in how many days can Shyam alone complete the entire work?

33.3 days

38.3 days

35.3 days

45.3 days

 

 

 

 

21.   9 children can complete a piece of work in 360 yes. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. in how many days can 4 men, 12 women, 10 children together complete the piece of work?

 

124

81

68

96

 

22.   Albert invested an amount of ₹8000 in a fixed deposit scheme for 2 years at a compound interest rate 5 P.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

 

8600

8840

8800

none of these

 

23.   The hourly wages of a Mason have increased by 25%. since the increase, the number of hours he works daily has reduced by 16%. if he was earning ₹120 per day before the increase, how much in rupees is he earning now?

 

126.5

127

126

125

 

24.   The sum of 2 number is 528 hcf is 33. how many pairs of such numbers can be?

 

1

2

3

4

 

25.   Milk contains 5% water. what quantity of pure milk should be added to 10 litres of milk to reduce this 2 %?

 

5 litres

15 litres

7 litres

cannot be determined

 

26.   Given below are the 2 quantities named A and B . based on the given information, you have to determine the relation between the 2 quantities. you should use the given data in your knowledge of mathematics to choose between the possible answers. r’n’r’nQuantity A: x where x3-4x2+3x = 0 r’n’r’nQuantity B: 7y3-23y2+6y = 0

 

Quantity A > Quantity B

Quantity A < Quantity B

Quantity A >=Quantity B

Quantity A = Quantity B OR Relationship cannot be determined

 

27.   An Outgoing batch of students want to gift books worth Rs 4200 to their teacher. if the boy, offer to pay 50% more than the girls and an external sponsors gives 3 times the boys contribution, then how much should the boys donate?

 

₹600

₹840

₹900

₹1200

 

28.   Dhiraj have points are in the ratio of ₹1 coins, 50p coins and 25p points can be expressed by 3 consecutive odd prime numbers that are in ascending order. the total value of coins in the bag is ₹58. if the numbers of ₹1, 50p , 25p coins are reversed, find the new total value of coins in the bag of Dhiraj?

 

₹86

₹83

₹75

₹82

 

29.   one man can complete a work in 129 days. one man starts the work and after that on each day one more man joins. with each man joining, the rate of work of every man doubles. in how many days does the work get completed?

 

4 days

5 days

6 days

10 days

 

30.   A cube is painted with blue on 2 faces and green on one face. None of the pairs of opposite forces have more than one face painted. the cube is cut into 512 smaller identical cubes. How many smaller cubes have at least 2 faces painted?

 

24

20

22

26

31.   Between 6:00 PM and 7:00 PM The minute hand of a clock will be ahead of the hour hand by 3 minutes at

 

0.760416666666666666

0.775

0.765250000000001

0.78333333333333333

 

 

 

 

 

 

 

 

 

 

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