Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  Direction: Each question below is followed by three statements I,II and III. You have to determine whether the data given in the statement/statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
What is the speed of boat in still water ? I. The boat can cover 25 km downstream distance in 5 hours. II. Speed of the stream us twothird of the speed of boat in still water. III. The boat can cover 25 km upstream distance in 10 hours.

1)  I and II together 
2)  Only II 
3)  I and II together 
4)  I and either II or III 
5)  Any two statements together. 
Answer : Any two statements together.
Explanation : Explanations : Let speed of boat in sill water be x kmph and velocity of stream be y kmph respectively.So, from I , we get x+y = 5kmph
From II, it given y = 2x/3 , we get x = 3kmph and y = 2kmph
From III, w get, x  y = 2.5 kmph
Therefore, to find out the speed of the boat any two statements together is sufficient.
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Q2.  Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What will be the compound interest earned on an amount of Rs. 5000 in 2 years ?
I. The simple interest on the same amount at the same rate of interest in 5 years is Rs.2000. II. The compound interest and the simple interest earned in one year is the same. III. The amount become more than double on compound interest in 10 years.

1)  I only 
2)  I and II only 
3)  II and III only 
4)  I and III only 
5)  None of these 
Answer : I only
Explanation : Explanation:
P = Rs. 5000 & T = 2 years.
I. S.I. on Rs. 5000 in 5 years is Rs. 2000.
(5000 x R x 5)/100 = 2000 or R = 8.
Thus I only gives the answer.
Correct answer is (1).
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Q3.  Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the area of the hall ? I. Material cost of flooring per square meter is Rs. 2.50 II. Labour cost of flooring the hall is Rs. 3500 III. Total cost of flooring the hall is Rs. 14,500. 
1)  I and II only 
2)  II and III only 
3)  All I, II and III 
4)  Any two of the three 
5)  None of these 
Answer : All I, II and III
Explanation : Explanation:
I. Material cost = Rs. 2.50 per m^{2}
II. Labour cost = Rs. 3500.
III. Total cost = Rs. 14,500.
Let the area be A sq. metres.
Material cost = Rs. (14500  3500) = Rs. 11,000.
5A/2 = 11000 or A = (11000 x 2 )/5 = 4400 m^{2}.
Thus, all I, II and III are needed to get the answer.
Correct answer is (3).
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Q4.  A shopkeeper sells some articles on profit of 20% of the cost price. Find out the actual Gain ? I. Selling price of the article. II. Cost price of the article 
1)  Neither I nor II 
2)  Either I or II 
3)  Both I and II 
4)  Only II 
5)  Only I 
Answer : Either I or II
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Q5.  Directions : In each of the following questions are followed by two statements I and II. Read the question from both the statements and then decide wheather the question can be answered with it. Give answer ? 1) Only I 2) Only II 3) Both I & II 4) Either I or II 5) Both I & II are not sufficient to answer the question.
Ram invested Rs 9000 in two parts at different rates. Find out the rate of interest ? I. After 4 years both the parts yield the same interest. II. He invested Rs. 4000 at 1% higher rate of interest than the one at which he invested the rest amount. 
Answer : 3
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Q6.  Directions : In each of the following questions are followed by two statements I and II. Read the question from both the statements and then decide wheather the question can be answered with it. Give answer ? 1) Only I 2) Only II 3) Both I & II 4) Either I or II 5) Both I & II are not sufficient to answer the question.
In some years the simple interest on a certain sum amounts to one fifth of the sum. Find the rate of interest ? I. The value of the sum is Rs. 5000 II. At the end of 5 years total amount is Rs 6000. 
Answer : 3
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Q7.  Directions : In each of the following questions are followed by two statements I and II. Read the question from both the statements and then decide wheather the question can be answered with it. Give answer ? 1) Only I 2) Only II 3) Both I & II 4) Either I or II 5) Both I & II are not sufficient to answer the question.
If X and Y working together can complete the job in 20 days in how many days can Y finish it alone ? I. X alone can finish the job in 60 days. II. Y works twice as fast as X.

Answer : 3
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Q8.  Directions : In each of the following questions are followed by two statements I and II. Read the question from both the statements and then decide wheather the question can be answered with it. Give answer ? 1) Only I 2) Only II 3) Both I & II 4) Either I or II 5) Both I & II are not sufficient to answer the question.
What is the price of a table ? I. The total price of 3 tables and 4 chairs is Rs 13600 II. The difference between the price of a table and a chair is Rs. 800

Answer : 3
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Q9.  Directions : In each of the following questions are followed by two statements I and II. Read the question from both the statements and then decide wheather the question can be answered with it. Give answer ? 1) Only I 2) Only II 3) Both I & II 4) Either I or II 5) Both I & II are not sufficient to answer the question.
What is the height of a right  angled triangle ? I. The side of the square is 8 cm. II. The area of the rightangled triangles is half of the area of a square.

Answer : 5
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