**Directions (Q.1-5): Read the following passage to answer these questions:**

**Anita, Mahima, Rajan, Lata and Deepti are five cousins. Anita is twice as old as Mahima. Rajan is half the age of Mahima. Anita is half the age of Deepti and Rajan is twice the age of Lata.**

**1. Who is the youngest?**

A.Deepti

B.Rajan

**C.Lata**

D.Anita

Solution:

(1-5): Let Mahima’s age = x.

Then Anita’s age = 2x,

Rajan’sage =x/2;

Deepti’s age = 4x;

Lata’s age =x/4.

So, the descending order of ages is :Deepti> Anita >Mahima>Rajan>Lata.

Lata is the youngest

**2. Who is the eldest?**

**A.Deepti**

B.Lata

C.Anita

D.None of these

Solution:

Deepti is the eldest.

**3. Which of the following pairs of persons are of the same age?**

A.Mahima and Lata

B.Anita and Mahima

C.Mahima and Rajan

**D.None of these**

Solution:

Clearly, no two persons in the group have the same age.

**4. Anita is younger than**

A.Rajan

B.Mahima

**C.Deepti**

D.None of these

Solution:

Anita is younger than Deepti.

**5. If Mahima is 16 years old, then what is the age of Lata?**

**A.4 years**

B.5 years

C.7 years

D.14 years

Solution:

Mahima’s age = 16 years ⇒ x = 16.

∴ Lata’s age =x/4 = 4 years.

**Directions (Q.6-10): Read the following information carefully and answer the questions given below it:**

**(i) A, B, C, D and E are five friends.**

**(ii) B is elder to E, but not as tall as C.**

**(iii) C is younger to A, and is taller to D and E.**

**(iv) A is taller to D, but younger than E.**

**(v) D is elder to A but is shortest in the group.**

**6. Who among the following is the eldest?**

A.A

B.B

C.C

**D.None of these**

Solution:

In terms of age, we have : E < B, C < A, A < E, A < D. So we have : C < A < E < B, A < D.

In terms of height, we have : B < C, D < C, E< C, D < A. So we have : B,D,E < C , D < A

6. (d): Either B or D is the eldest.

**7. Which of the following pairs of students is elder to D?**

A.BA

B.BC

C.BE

**D.None of these**

Solution:

It cannot be determined for sure.

**8. Which of the following statements is correct about B?**

**(i) B is not the tallest.**

**(ii) B is shorter to E.**

**(iii) When they are asked to stand in ascending order with respect to their heights, B is in the middle.**

**A.Only (i) is correct**

B.Only (i) and (ii) are correct

C.All are correct

D.All are incorrect

Solution:

B is shorter than C. So, B is not the tallest. Thus (i) is correct.

B and E are shorter than C. So, it cannot be concluded that B is shorter to E. Thus, (ii) is incorrect.

A single definite order of heights cannot be obtained from the given information. So, (iii) is incorrect.

**9. If F, another friend, is taller than C, how many of them will be between F and E according to their height?**

A.None

B.One

C.Two

**D.None of these**

Solution:

Since no definite order of height can be obtained, so it cannot be determined for sure how many persons lie between F and E.

**10. If a selection is to be made among them who would be relatively older and also taller, who among them should be chosen?**

A.A

B.B

C.C

**D.can’t be determined**

Solution:

A and C are youngest and so they cannot be selected. D is shorter than two persons A and C.

B is shorter than C So, It can’t be determined.