MATHS

If 3^{(x - y)} = 27 and 3^{(x + y)} = 243, then x is equal to:

• 0

• 2

• 4

• 8

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

• 9000

• 9400

• 9600

• 9800

• 0.1039

• 0.2078

• 1.1039

• 2.1039

Direction (Q.No. 5): 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.

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Question No. 5: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

• 380

• 395

• 400

• 425

What is the two-digit number?

I. The difference between the two-digit number and the number formed by interchanging the digits is 27.

II. The difference between the two digits is 3.

 III. The digit at unit's place is less than that at ten's place by 3.

• I and II only

• I and III only

• All I, II and III

• I, and either II or III

• Even with all I, II and III, answer cannot be give.

Direction (Q.No. 7): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

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Question No: 7 What is Sonia's present age?

I. Sonia's present age is five times Deepak's present age.

II.Five years ago her age was twenty-five times Deepak's age at that time.

• I alone sufficient while II alone not sufficient to answer

• II alone sufficient while I alone not sufficient to answer

• Either I or II alone sufficient to answer

• Both I and II are not sufficient to answer

• Both I and II are necessary to answer

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

• 24

• 27

• 40

• Cannot be determined

• None of these

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

• 30%

• 35%

• 44%

Direction (Q.No. 10): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

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Question No. 10. What is the length of a running train?

I. The train crosses a man in 9 seconds.

 II. The train crosses a 240-metre-long platform in 24 seconds.

• I alone sufficient while II alone not sufficient to answer

• II alone sufficient while I alone not sufficient to answer

• Either I or II alone sufficient to answer

• Both I and II are not sufficient to answer

• Both I and II are necessary to answer