# Free DI and LR - 10 Practice Test - CAT

Which of the towns mentioned is furthest in the northwest direction?

A. A
B. B
C. C
D. D

#### SOLUTION

Solution : B

Refer the diagram given.

The town that is furthest in the Northwest direction is B.

Which of the following must be both north and east of F?

I. A      II C     III E
A. I only
B. III only
C. I and II
D. I and III

#### SOLUTION

Solution : D

From the diagram, we can see that towns A and E are both north and east of F.

Which of the following towns must be situated both south and west of at least one other town?

A. A and F
B. D and F
C. D, C and F
D. C, D and E

#### SOLUTION

Solution : C

Town F is situated both south and west of town A. Town D is situated both south and west of town E. Town C is situated both south and west of towns D and E.

Thus, towns C, D and F are situated both South and West of at least one other town.

Which of the following statements, if true, would make the information in the numbered statements more specific?

A. C is north of D.
B. E is north of D
C. C is east of F
D. B is north of F

#### SOLUTION

Solution : A

Refer diagram. We know that E is north of D, C is east of F and B is north of F.

The position of town C with respect to D is not clearly known.Thus, if the information C is north of D is given, then the information will be more specific.

Which of the numbered statements gives information that can be deduced from one or more of the other statements?

A. I
B. III
C. VI
D. V

#### SOLUTION

Solution : B

The information, D is south and east of A can be obtained by combining the other statements. Thus theinformation in statement III can be deduced from the other statements.

In how many ways can all the commanders communicate?

A. 2
B. 3
C. 4
D. 6

#### SOLUTION

Solution : D

6 ways as in case 1, 2, 3 can also communicate in the reverse direction i.e E can start and end with A.

if A is the 1st to start a thread of communication and E is 9th in the chain; then the 5th one is:

A. B
B. C
C. D
D. F

#### SOLUTION

Solution : A

Only case 1 is valid here, B is the only option.

Who cannot be the last person to hear the command?

A. C
B. A
C. B
D. H

#### SOLUTION

Solution : C

The conversation can never end with B, hence.

If A starts the communication, the 6th person to receive the message so that every commander receives a message is?

A. B
B. F
C. I
D. Cannot Be Determined

#### SOLUTION

Solution : B

If we check all the cases F is the only option.

If due to a internal fight, F is not talking to B, but is in a position to hear and pass on the message to others, then in how many ways can all the commanders communicate?

A. 0
B. 1
C. 2
D. 3

#### SOLUTION

Solution : D

If F does not talk to B, then half the number of cases are possible ( as F can hear from B)Hence option is 3 ways.

Which of the following represents a properly composed committee?

A. K, L, N
B. J, K, L
C. J, K, M
D. O, M, K

#### SOLUTION

Solution : A

Option (a)

Go from the options: option (a) K,L,N

K - Chairman planning commission (Central government),

L - Principal Secretary,Ministry of Education (Central government),

N - Accountant General (State government)

There are two representatives of Central government and one from State Government each from different departments.

It satisfies the given condition and hence the answer.

Which of the following may serve with P?

A. K and M
B. M and L
C. K and L
D. J and K

#### SOLUTION

Solution : C

option (1) P, K, M here K and M are of the same department - Planning commission. Hence it is eliminated.

Option(2) P, M, L in this P and M are State Government employees. Hence it is eliminated.

Option(3) P, K, L all of them are from different departments and here K and L are from Central Government and P from State government. It satisfies the given condition. Hence option(3) is the answer.

Which of the following must be true?

(I) If J cannot serve on a committee, then M cannot be assigned to that committee.

(II) If O does not serve on a committee, then J will be serving on that committee.

A. I only
B. II only
C. I and II
D. Neither I nor II

#### SOLUTION

Solution : A

Option (1)

From statement I, if J cannot serve on a committee then K and L should be present in the committee and K is from Planning commission and hence M (planning commission) cannot participate in the committee.

Statement I istrue.If O doesn.t serve on the committee J can serve the committee with an exception that P should not serve on thecommittee. As P and J are of same department (Finance). Hence statement II may not be true. Hence option(1) is the right answer.

If L is not available for service, which of the following must be on the committee?

A. M and J
B. N and J
C. O and K
D. None of these

#### SOLUTION

Solution : B

option(2) N and J is the right answer. Here L and J are from Central Government and N from State government.

All of them are from different departments.

Which of the following must be true?

I N and O never serve on the same committee.

II When N serves in a committee, J will serve on the same committee.

A. I only
B. II only
C. I and II
D. Neither I nor II

#### SOLUTION

Solution : A

Option (1)

Statement I: N and O never serve on the same committee because they both belong to state government. Hence it is true.

Statement II: N and J in the same committee. This is not possible because they both belong to samedepartment(Finance). Hence it is false.