2
Q:

# What is the first term of an arithmetic progression of positive integers ?(I) Sum of the squares of the first and the second term is 116.(II)The fifth term is divisible by 7.

 A) Only a is sufficient B) Only b is sufficient C) Both a & b are necessary D) None

Answer:   A) Only a is sufficient

Explanation:

The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term

so only 1st statement is sufficient to answer the question

Q:

In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows.

Statements :

1. All chairs are tents.

2. No chairs is jugs.

3. No jugs is glasses.

4. No glasses is pots.

Conclusions :

I. All pots are tents.

II. All glasses are chair.

III. Some jugs are tents.

 A) Only conclusion I follows B) Both conclusion II & III follows C) None follows D) Only conclusion II follows

Explanation:

3 276
Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

Statements: I > W > T > N, I = F = G = C

Conclusions:    I. W > I

II. C > N

 A) Only Conclusion I is true B) Only Conclusion II is true C) Both conclusions I & II are true D) Neither conclusion I nor II is true

Explanation:

From the given Statements :

1. I > W > T > N

2. F = G = C

Conclusions are :

I. W > I (False)

II. C > N (True)

7 276
Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question :

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

 A) Only 3 B) Both 2 & 3 C) Any two of (1, 2 & 3) D) None

Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

5 343
Q:

Statements :-

All kids are God.

No God is a Human.

Some Human are Son.

All Son are Men.

Conclusions :-

(a) Some Son are not God.

(b) Some Men are Human.

 A) Only A follows B) Only B follows C) Both (A) and (B) follows D) Neither (A) nor (B) follows

Explanation:

7 506
Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1.  $5{a}^{2}-18a+9=0$

2.  $3{b}^{2}+5b-2=0$

 A) a >= b B) a <= b C) a < b D) a > b

Explanation:

From solving 1 and 2 we get,

1.

5a(a-3)-3(a-3) = 0

(5a-3)(a-3) = 0

a = 3 or 3/5

2.

3b(b+2)-1(b+2) = 0

b = -2 or b = 1/3

Here when a = 3, a > b for b = -2 and b = 1/3

when a = 3/5. a > b for b = -2 and b = 1/3.

Hence, it is clear that a > b.

4 409
Q:

Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true.

Statements: C < T < L= P > Q,  N > C > Y

Conclusions:   A. P > Y       B. Y < P

 A) only conclusion B is true. B) only conclusion A is true. C) neither conclusion I nor II is true. D) either conclusion I or II is true.

Explanation:

From given statements, we can conclude that

N > C < T < L= P > Q  .....(1)

Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.

So only conclusion B is True.

3 368
Q:

Q : Which train did Harish catch to go to office ?

Statements :

A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes.

B. Harish did not catch the 4.45 p.m. train or any train after that time.

 A) If statement B alone is sufficient but statement A alone is not sufficient. B) If statement A alone is sufficient but statement B alone is not sufficient. C) If both statement together are sufficient, but neither statement alone is sufficient. D) If statement A and B together are not sufficient.

Answer & Explanation Answer: D) If statement A and B together are not sufficient.

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.

3 423
Q:

What is the value of KL ?

Statement A: ${K}^{2}$= 4.
Statement B: L = 0.

 A) Only A is sufficient B) Only B is sufficient C) Both (A) and (B) are sufficient D) None of the above