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Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q191.
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
1) (2^16 + 1) 2) (2^16 - 1)
3) (7 x 2^23) 4) (2^96 + 1)
5)None of these
Answer : (2^96 + 1)
Explanation :
Let, 232 = x. Then, (232 + 1) = (x + 1).
Let, (x + 1) be completely divisible by the natural number N. 
Then, (296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.

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Q192.
In a test, minimum pass percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What are the minimum passing marks for the girls ?
1) 475 2) 525
3) 545 4) 550
5)None of these
Answer : 525
Explanation : Let, the Full Mark be 100%.
A boy scored 483 marks and failed by 117 marks i.e. the pass mark be 483 + 117 = 600
So, 40% = 600
or 100% = (600/40) x 100 = 1500
The minimum passing marks for the girls is = 1500 x (35/100) = 525
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Q193.
Directions : Study the information carefully to answer the questions that follow.

On the occasion of a opening ceremony of a sports event, in a stadium there are 600 palyers in all who are participating in four different events, viz, Athletics, Table Tennis, KhoKho
and Lawn Tennis. The ratio of male to female players is 11 : 4. 30% of the female players are participating in Athletics. 10% of the female players are participating in Table Tennis. The remaining female players are participating in KhoKho and Lawn Tennis in the ratio of 1 : 3. The ratio of male players who are participating in Athletics and other events together is 3 : 5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and KhoKho in the ratio of 5:3.

What is the total number of female players who are participating in Athletics and KhoKho
together ?
1) 64 2) 68
3) 72 4) 84
5)None of these
Answer : 72
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Q194.
Directions : Study the information carefully to answer the questions that follow.

On the occasion of a opening ceremony of a sports event, in a stadium there are 600 palyers in all who are participating in four different events, viz, Athletics, Table Tennis, KhoKho
and Lawn Tennis. The ratio of male to female players is 11 : 4. 30% of the female players are participating in Athletics. 10% of the female players are participating in Table Tennis. The remaining female players are participating in KhoKho and Lawn Tennis in the ratio of 1 : 3. The ratio of male players who are participating in Athletics and other events together is 3 : 5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and KhoKho in the ratio of 5:3.

What is the difference between the male players participating in KhoKho and the female players participating in Lawn Tennis ?

1) 23 2) 27
3) 33 4) 38
5)None of these
Answer : 27
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Q195.
Directions : Study the information carefully to answer the questions that follow.

On the occasion of a opening ceremony of a sports event, in a stadium there are 600 palyers in all who are participating in four different events, viz, Athletics, Table Tennis, KhoKho and Lawn Tennis. The ratio of male to female players is 11 : 4. 30% of the female players are participating in Athletics.10% of the female players are participating in Table Tennis. The remaining female players are participating in KhoKho and Lawn Tennis in the ratio of 1 : 3. The ratio of male players who are participating in Athletics and other events together is 3 : 5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and KhoKho in the ratio of 5:3.

What is the ratio of the female players participating in Lawn Tennis to those participating in Table Tennis ?
1) 7 : 2 2) 9 : 2
3) 11 : 3 4) 13 : 4
5)None of these
Answer : 9 : 2
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Q196.
Directions : Study the information carefully to answer the questions that follow.

On the occasion of a opening ceremony of a sports event, in a stadium there are 600 palyers in all who are participating in four different events, viz, Athletics, Table Tennis, KhoKho
and Lawn Tennis. The ratio of male to female players is 11 : 4. 30% of the female players are participating in Athletics. 10% of the female players are participating in Table Tennis. The remaining female players are participating in KhoKho and Lawn Tennis in the ratio of 1 : 3. The ratio of male players who are participating in Athletics and other events together is 3 : 5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and KhoKho in the ratio of 5:3.

What is the ratio of male players participating in Lawn Tennis to the female players
participating in Table Tennis ?

1) 9 : 16 2) 11 : 14
3) 11 : 16 4) D.I
5)None of these
Answer : 11 : 16
Explanation : Answer : 11 : 16
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Q197.
With the help of a wire a square is made of area 225m2. If an equilateral is made with the same wire then what would be the length of the side of the triangle?
1) 15 m 2) 17.5 m
3) 24 m 4) 20 m
5)None of these
Answer : 20 m
Explanation :
The area of a square is  225 m2.
Sides of the square is = 15 m.
So, perimeter = 15 X 4 = 60 mts.
Given that perimeter of the equilateral triangle is also equal
3x = 60 
or x = 60/3 = 20 mtrs 
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Q198.
If the area of a triangle in which base x is equal to the area of a square with side x, then what is the altitude of the triangle ?
1) x/2 2) x
3) 2x 4) 3x
5)None of these
Answer : 2x
Explanation :
Area of a square is x2.
Area of the triangle is ½ x.
Let, the altitude be h.
x2 = ½ xh ½ h = x  h = 2x.
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Q199.
The average salary of 16 employees in a company is Rs.800 per month. If the manager’s salary is added, the average salary increase by Rs.50. What is the salary of the manager ?
1) Rs.1650 2) Rs.2000
3) Rs.2400 4) Rs.3500
5)None of these
Answer : Rs.1650
Explanation :
Short-cut Method :
(Final Strength  X Increases Value) + earlier average
i.e. ( 17 X 50) + 800 = Rs. 1650
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Q200.
The average age of 50 students of a class is 16 years. When 10 new students are admitted, then the average age increased by 0.5 years. What is the average age of the new students ?
1) 17 years 2) 18 years
3) 19 years 4) 20 years
5)None of these
Answer : 19 years
Explanation : The total age of 50 students = 50 X 16 = 800 yrs.
After admitted 10 new students ,total age become 60 X 16.5 = 990 yrs.
So, age of new students = 990 -800 = 190 yrs.
Thus, their average 190 /10 = 19 yrs.  
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