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1
Q:

For any two real numbers a and b.

a-b2+b-a2 is

A) always zero B) never zero
C) positive only if a ≠ b D) positive if an only if a > b

Answer:   C) positive only if a ≠ b



Explanation:
Subject: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Related Questions
Q:

If two marbles are picked at random, what is the probability that either both are red or both are green?

A) 5/7 B) 5/14
C) 1/7 D) 1/14
 
Answer & Explanation Answer: C) 1/7

Explanation:

Required probability = (10+3)91=1391=17

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3 1062
Q:

Study the information carefully to answer the following questions: An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that one is green and two are yellow?

A) 3/14 B) 2/91
C) 9/182 D) 7/545
 
Answer & Explanation Answer: C) 9/182

Explanation:

Required probability = 3×6364=9182

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3 1057
Q:

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

A) I and II B) I and III
C) Only III D) I and either II or III
 
Answer & Explanation Answer:

Explanation:

From I and II,
Length = 3x = 48 m
∴ x = 16
Breath = 2x = 32 m
Hence, Area of floor = 48 × 32
Cost of flooring = 48 × 32 × 850 = ₹ 1305600
From I and III, 2(l +b) = 160
2(3x + 2x) = 160
10x = 160
∴ x = 16
∴ Length = 3 × 16 = 48 m
Breadth = 2x = 32m
Cost of flooring = (48 × 32) × 850 = ₹ 1305600
Similarly, from II and III, we can find
l = 48 m
b = 32 m
and Total cost of flooring = ₹ 1305600

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1 1111
Q:

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly How many students from institute 'A' got placement?

I. Number of students studying in institutes A and B are in the ratio of 3:4 respectively.

II. Number of students who got placement from institute B is 120% of the number of students who got placement from institute A

III. 80% of the students studying in institute B got placement.

A) None of the statements can be dispensed with B) Only I
C) Only II D) Any one of the three
 
Answer & Explanation Answer:

Explanation:

From I No. of students studying in A and B are 3x and 4x respectively.
From II No. of students studying in B who got placement = (4x × 80) ÷ 100 = 16x/5
Hence Question cannot be answered even with the information in all the three statements
Hence option 5 is correct

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1 1019
Q:

Each of the questions below consists of a question and two statements numbered, I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the question. Read both statements and choose the most appropriate option. Among M, N, D, P and K, who earns more than only the least earner among them?

I. N earns more than M and P but less than only D.
II. M earns more than P who earns more than K.

 

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. B) 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.
C) The data either in statement I alone or in statement II alone are sufficient to answer the question. D) If the data in statement I and II together are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From I and II: D > N > M > P > K.

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Q:

In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. What are the marks scored by Abhijit in English?

I. Marks scored by Abhijit in Maths are more than his marks in Science by 20.

II. Total marks scored by Abhijit in Maths, Science and English are 198.

III. Marks scored by Abhijit in Science are more than his marks in English by 12.

A) Any two of the three B) Only II and III
C) All I, II and III D) Question cannot be answered even with the information in all the three statements
 
Answer & Explanation Answer: C) All I, II and III

Explanation:

Suppose marked scored by Abhijit in English = x
From statement I,
Marks in science = x + 12
From statement III,
Marks in mathematics = x + 12 + 20
= x + 32
From statement II,
English + Science + Mathematics = 198
x + x +12 + x + 38 = 198
3x = 154
x = 154/3
All I, II and III are required to find answer.

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0 952
Q:

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

A) 5/13 B) 5/12
C) 13/5 D) 13/12
 
Answer & Explanation Answer: B) 5/12

Explanation:
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0 978
Q:

What is the value of (2/√3 +tan45° ) ?

A) (1+√6)/√3 B) (2+√3)/√3
C) 4/√3 D) √3+2
 
Answer & Explanation Answer: B) (2+√3)/√3

Explanation:
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