### Set 1

**Find Solutions at the end of every section**

Five different film actors namely Amit, Shahrukh, Anil, Sunil and Akshay are engaged in the shooting of five different movies with five different actresses Madhuri, Kareena, Aishwarya, Shilpa, and Juhi not necessarily in the same order, in different studios. The director of each film decided to set a record by making the films as early as possible. (i) Aishwarya’s studio is between Amit’s and Akshay’s studios. (ii) Shahrukh’s director who doesn’t have Aishwarya as an actress in the shooting took three fourths as many as the number of days taken by Sunil’s Director. (iii) Akshay’s studio number is 417. (iv) Anil’s film took more days than Amit’s, while Amit’s film took more days than Aishwarya’s to get finalised. (v) The director from studio number 418 took 16 days lesser then the director from studio number 415, to complete his film.

(vi) Shilpa’s film took 8 days more than Amit’s and two days more than Juhi’s.

(vii) Madhuri’s studio number is 416.

(viii) Madhuri’s film took 8 day less then Aishwarya’s film and Anil’s films took maximum number of days for completion.

1.Who is opposite of Kareena in her film ?

(a) Amit

(b) Shahrukh

(c) Akshay

(d) Sunil

2.The director of which studio made the film in the least number of days ?

(a) 415

(b) 416

(c) 417

(d) 418

3.Name of the actress of studio No. 417 ?

(a) Kareena

(b) Aishwarya

(c) Juhi

(d) None

4.Sunil’s film was completed in ?

(a) 44 days

(b) 40 days

(c) 32 days

(d) None

5.Anil’s opposite was ?

(a) Juhi

(b) Shilpa

(c) Aishwarya

(d) Madhuri

1. (A) 2.(B) 3.(C) 4.(C) 5.(B)

### Set 2

**Find Solutions at the end of every section**

A wooden cuboid of dimensions 9 x 7 x 5 unit is painted in a fixed pattern.

(i) The two opposite faces in the front and back are painted in red with 9 x 7 cuts.

(ii) The other two opposite faces on the sides are painted in green with 7 x 5 cuts.

(iii) The remaining top and bottom faces are painted in blue.

The cuboid is cut into 315 small cubes.

1.How many cubes have all the three faces coloured ?

(a) 8

(b) 32

(c) 24

(d) None of these

2.How many cubes have two faces coloured ?

(a) 60

(b) 142

(c) 105

(d) None of these

3.How many cubes have one face coloured ?

(a) 142

(b) 105

(c) 71

(d) None of these

4.How many cubes have no face coloured ?

(a) 142

(b) 60

(c) 105

(d) None of these

5.How many cubes have two faces coloured, that too Red and Green ?

(a) 14

(b) 20

(c) 32

(d) None of these

1.(A) 2.(A) 3.(A) 4.(C) 5.(B)

Out of the total of 68 cubes which are on the edges, 8 cubes would be corner cubes. Hence, the number of cubes painted on two sides would be 68-8=60

On the lateral surfaces : 7 x 3 + 7 x 3=42 cubes. Thus a total of 142 cubes would have one side painted.