Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q31.  The L.C.M and H.C.F of two numbers are 660 and 10 respectively. If the sum of the numbers is 170, what is the difference between the numbers ? 
1)  50  2)  56 
3)  60  4)  64 
5)  None of these 
Answer : 50
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Q32. 

1)  1 : 6  2)  1 : 5 
3)  1 : 25  4)  1 : 125 
5)  None of these 
Answer : 1 : 5
Explanation :
Explanation :
The volume of the larger cube = 53 = 125 cm^{3}.
The volume of each of the smaller cubes = 13 = 1 cm^{3}.
Therefore, one would get 125 smaller cubes.
The surface area of the larger cube = 6a^{2} = 6(52) = 6 25 = 150
The surface area of each of the smaller cubes = 6 (12) = 6.
Therefore, surface area of all of the 125, 1 cm^{3} cubes = 125 6 = 750.
Therefore, the required ratio = 150 : 750 = 1 : 5
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Q33. 
1)  8  2)  9 
3)  10  4)  12 
5)  None of these 
Answer : 10
Explanation :
Explanation :
Given, x^{2} + 9/x = 6x
Or x^{2}  6x = 9
Or (x3)^{2} = 0
Or x = 3
So, x^{2} + 9/x^{2 }= 10
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Q34. 

1)  221  2)  231 
3)  253  4)  0 
5)  None of these 
Answer : 253
Explanation :
Explanation :
Given, a = 4/3
Or 3a = 4
Or 3a  4 = 0
Or (3a4)^{3} = 27a^{3}  108a^{2} + 144a  64 = 0^{3}
Or 27a^{3}  108a^{2} + 144a  317 = (27a^{3}  108a^{2} + 144a 64)  153 = 0  253 =  253
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Q35.  A fort has provisions for 250 soldiers for 35 days. After 5 days a reinforcements of 25 soldiers were arrived. Again after 10 days, 25 soldiers left the fort. How long will the remaining provisions lasting ? 
1)  12  2)  16 
3)  18  4)  19 
5)  None of these 
Answer : 19
Explanation :
Explanation :
Short Cut Methods:
ND (No. of days) = N_{1}D_{1} + N_{2}D_{2} = total amount of food after 5 days.
or ( 250 X 30) = ( 250 + 25) X 10 + 250 X x
or x = 19 days .
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Q36. 

1)  33 years  2)  40 years 
3)  43 years  4)  48 years 
5)  None of these 
Answer : 43 years
Explanation :
Explanation :
Present age of C = 85 – 7 = 78 years
Present age of B = 78 – 12 = 66 years
Present age of A = 3
11 66 = 18 years
Present age of A’s father = 18 + 25 = 43 years
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Q37. 

1)  100.8 sq cm  2)  112.4 sq cm 
3)  104.2 sq cm  4)  Cannot be determined 
5)  None of these 
Answer : 100.8 sq cm
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Q38.  The ratio of the adjacent angles of a parallelogram is 7 : 8. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
1)  136°  2)  156° 
3)  168°  4)  208° 
5)  None of these 
Answer : 168°
Explanation :
Explanation :
Sum of the adjacent angles of a parallelogram is 180°.
Smaller angle of the parallelogram = 7/15 × 180 = 84°
Second largest angle of the quadrilateral = 7/30 × 360 = 84°
Required sum = 84 + 84 = 168°
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Q39.  The smallest side of a rightangled triangle is 8 cm less than the side of a square of perimeter 56 cm. The second largest side of the rightangled triangle is 4 cm less than the length of the rectangle of area 96 sq cm and breadth 8 cm. What is the largest side of the rightangled triangle ? 
1)  10 cm  2)  12 cm 
3)  15 cm  4)  18 cm 
5)  None of these 
Answer : 10 cm
Explanation :
Explanation :
Side of the square = 56/4 = 14 cm
smallest side of the triangle = 14 – 8 = 6 cm
Length of the rectangle = 96/ 8 = 12 cm
Second largest side of the triangle = 112 – 4 = 8 cm
So, Largest side of the triangle = square root of 6^{2} + 8^{2 } = 10 cm
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Q40. 

1)  26  2)  27 
3)  41  4)  56 
5)  None of these 
Answer : 41
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