Reasoning PYQs

If the second and the third digits are interchanged within each number, we get:

527 → 572

716 → 761

714 → 741

417 → 471

536 → 563

Now, the numbers thus formed are arranged in descending order from right to left:

471 < 563 < 572 < 741 < 761

Hence, 572 is the third number from the right end in the new arrangement.

If the first and the third digits are interchanged within the numbers, we get:

527 → 725

716 → 617

714 → 417

417 → 714

536 → 635

So, arranging the numbers thus formed → 417 < 617 < 635 < 714 < 725

Thus, the second highest number is 714.

Product of the first and second digit of 714 → 7 * 1 = 7

Hence, 7 is the product of the first and second digit of the second-highest number.

If the digits are arranged in descending order from left to right within the numbers, we get:

527 → 752

716 → 761

714 → 741

417 → 741

536 → 653

Thus, 752 is the only number which is divisible by2

Hence, only one number is divisible by 2.

If the digits are arranged in ascending order form left to right within the numbers, we get:

527 → 257

716 → 167

714 → 147

417 → 147

536 → 356

147 = 147 < 167 < 257 < 356

Hence, both 714 and 417 will be the lowest numbers.

If the first digit is interchanged with the second digit within the numbers, we get:

527 → 257

716 → 176

714 → 174

417 → 147

536 → 356

Now, the numbers thus formed are arranged in descending order from left to right:

356 > 257 > 176 > 174 > 147

Hence, 257 is third to the left of first number from the right end in the new arrangement.

1)Three persons are sitting between X and T, who are sitting adjacent to Q.

2. H is sitting 2^nd to the right of Q. X is in left of Q.

3. Two persons are sitting between H and S who is sitting at one of the ends.

4. S is not sitting adjacent to Q, who is sitting 2^nd to the right of L.

5. L is sitting exactly in the middle of the row.

6. J is sitting 6^th from the left end.

7. X is not sitting to the right of J.Hence, Case-1 will be elliminated.

8. Two persons are sitting between J and R.

9. Two persons are sitting between X and K.

Therefore the final arrangement is, 

Hence, the persons are sitting between X and S are nine.

1)Three persons are sitting between X and T, who are sitting adjacent to Q.

2. H is sitting 2^nd to the right of Q. X is on the left of Q.

3. Two persons are sitting between H and S who is sitting at one of the ends.

4. S is not sitting adjacent to Q, who is sitting 2^nd to the right of L.

5. L is sitting exactly in the middle of the row.

6. J is sitting 6^th from the left end.

7. X is not sitting to the right of J.Hence, Case-1 will be eliminated.

 

4. Two persons are sitting between J and R.

5. Two persons are sitting between X and K.

Therefore the final arrangement is, 

Hence, persons are sitting in the row are 15.

1)Three persons are sitting between X and T, who are sitting adjacent to Q.

2. H is sitting 2^nd to the right of Q. X is on the left of Q.

3. Two persons are sitting between H and S who is sitting at one of the ends.

4. S is not sitting adjacent to Q, who is sitting 2^nd to the right of L.

5. L is sitting exactly in the middle of the row.

6. J is sitting 6^th from the left end.

7. X is not sitting to the right of J.Hence, Case-1 will be eliminated.

8. Two persons are sitting between J and R.

9. Two persons are sitting between X and K.

Therefore the final arrangement is, 

Hence**, the person is sitting to the left of Q is nine.**

1)Three persons are sitting between X and T, who are sitting adjacent to Q.

2. H is sitting 2^nd to the right of Q. X is on the left of Q.

3. Two persons are sitting between H and S who is sitting at one of the ends.

4. S is not sitting adjacent to Q, who is sitting 2^nd to the right of L.

5. L is sitting exactly in the middle of the row.

6. J is sitting 6^th from the left end.

7. X is not sitting to the right of J.Hence, Case-1 will be eliminated.

8. Two persons are sitting between J and R.

9. Two persons are sitting between X and K.

Therefore the final arrangement is, 

Hence, the position of H with respect to T is 3^rd to the right.

1)Three persons are sitting between X and T, who are sitting adjacent to Q.

2. H is sitting 2^nd to the right of Q. X is on the left of Q.

3. Two persons are sitting between H and S who is sitting at one of the ends.

4. S is not sitting adjacent to Q, who is sitting 2^nd to the right of L.

5. L is sitting exactly in the middle of the row.

6. J is sitting 6^th from the left end.

7. X is not sitting to the right of J.Hence, Case-1 will be eliminated.

8. Two persons are sitting between J and R.

9. Two persons are sitting between X and K.

Therefore the final arrangement is, 

Hence, X sits exactly in the middle of K and L.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. All Car is Cycle → False ( Some Car is Train so we cannot say that All Car is Cycle it is possible but not definite so conclusion false )

II.No Bus is Car → False (There is no direct relation between Bus and Car it is possible but not definite so conclusion false )

Hence, None follow.

The least possible Venn diagram for the given statements is as follows

Conclusions:

I. Some Dogs are Zebra ⇒ False ( As it is possible but not definite, as no direct relation between the two is given).

II. All Zebra can be dog ⇒ True ( As there is no relation between Zebra and Dog, so the possibility is true).

Hence, Only conclusion II follows.

The least possible Venn diagram is shown below,

i) Some Help are Box ⇒ False (This is possible but not definite)

ii) Some Box are Fox ⇒ True (As only a few fox are box hence some box will definitely be fox.)

Hence, only II follows.

The least possible Venn diagram is shown below,

 

i) Some classroom are music ⇒ True only if case 2 is to be considered otherwise False

ii) No classroom is music ⇒ True only if case 1 is to be considered otherwise False

Hence, either I or II follows.

Given

Statements:

F ≥ L ≥ M < N = P ≥ A ≥ B > C

Conclusions:

I. F ≥ C → False (As  F ≥ L ≥ M < N = P ≥ A ≥ B > C, there is no direct relation between F and C. So, it is false)

II. F < C → False (As  F ≥ L ≥ M < N = P ≥ A ≥ B > C, there is no direct relation between F and C. So, it is false)

Here, both conclusions I and II forms a complementary pair as both have the same element and all the three symbols (<, =, >) are present between F and C.

Hence, Either I or II follows.

**Given

Statement:

** U ≥ T ≥ M = W ≤ E ≥ L = H

Conclusions: 

I. U ≥ E → False (As U ≥ T ≥ M = W ≤ E there is no clear relation between U and E because of the opposite sign between U and E. So, it is false).

II. E > U → False (As U ≥ T ≥ M = W ≤ E there is no clear relation between U and E because of the opposite sign between U and E. So, it is false).

As the elements in the conclusions are the same i.e., U and E, and there are three signs (>, <, and =) between U and E they form a complementary pair.

Hence, Either I or II follows

**Given

Statement:

** E ≥ W = A < B ≤ S ≤ T < X

Conclusions: 

I. X > W → True (As W = A < B ≤ S ≤ T < X → X > W. So, it is true).

II. B > X → False (As B ≤ S ≤ T < X → B < X. So, it is false).

Hence, Only I follow.

**Given

Statement:

** E ≥ W = A < B ≤ S ≤ T < X

Conclusions: 

I. E > T → False (As E ≥ W = A < B ≤ S ≤ T there is no relation between E and T because of the opposite sign between E and T).

II. A = X → False (As A < B ≤ S ≤ T < X → A < X. So, it is false).

Hence, Neither I nor II follows.

Person: M, N, O, P, Q, R, S, and T

Floor: 1, 2, 3, 4.

1. M lives on a Flat 2 of an odd floor.
2. Only one floor lies between M and Q.
3. Q lives east of N.

 

4. There is one floor between lives between Q and O.

 

5. P lives immediately above N.

 

6. R and T lives in a same floor.

 

7. T lives immediately below Q.

 

Here, N and Q lives on third floor

Hence, the answer is N, Q.

Person: M, N, O, P, Q, R, S, and T

Floor: 1, 2, 3, 4.

1. M lives on a Flat 2 of an odd floor.
2. Only one floor lies between M and Q.
3. Q lives east of N.

 

4. There is one floor between lives between Q and O.

 

5. P lives immediately above N.

 

6. R and T lives in a same floor.

 

7. T lives immediately below Q.

 

Here four persons lives above R but Exactly only 2 persons are living above R. (exactly above R means Living vertically above R which same numbered flat in different floors)

Hence, the answer is Two.