**Directions (Q.1-5): The following questions are accompanied by three statements A, B and C. You have to determine which statement (s) is/are necessary/sufficient to answer the question.**

**1.Two friends X and Y entered into a partnership. Find the share of X’s profit.**

**(A) The ratio of the capitals of X and Y is 3 : 5**

**(B) X invested his money for two months more than Y.**

**(C) Y’s share in the total profit is ` 1000 less than the share of X.**

1) A and B together

2) A and C together

3) Any two of them

4) All together are necessary

5) All even together are not sufficient

**2.Find the monthly expenditure of a person.**

**(A) His monthly income is ` 2400.**

**(B) The ratio of his expenditure to his income during the year is 3 : 4**

**(C) His average monthly saving is ` 600.**

1) Only A and B together

2) Only A and C together

3) Only B and C together

4) Any two of them

5) All statements together are required

**3.Find the area of a parallelogram.**

**(A) The ratio of the two adjacent sides is m : n.**

**(B) The length of the other diagonal is x.**

**(C) The length of the two adjacent sides are y and z.**

1) Only B and C together

2) Only A and C together

3) All statements together

4) All two of them

5) All statements even together are not sufficient

**4.A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?**

**(A) It takes 15 hours in travelling from X to Y by train and returning by bus.**

**(B) The distance between two places is 360 km.**

**(C) He can save 3 hrs if he travels both the ways by train.**

1) A and B together

2) B and C together

3) A and C together

4) Any two of them

5) All statements are required

**5.What is the in radius of a right-angled triangle?**

**(A) The area of the triangle is known.**

**(B) Any two sides of the triangle are known.**

**(C) The perimeter of the triangle is known.**

1) Only B

2) Only A and C together

3) Any of them

4) Either B alone or A and C together

5) All together are necessary

**Directions (Q. 6-10): Study the following table carefully and answer accordingly. The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.**

**6.In which of the following subjects did Rishab get the least percentage of marks?**

1) Economics

2) Geography

3) Computer

4) Physics

5) None of these

**7.What is the average percentage of marks obtained by Shreya?**

1) 67.70%

2) 60%

3) 72%

4) 55%

5) None of these

**8.Which student has shown the best performance?**

1) Geetanjali

2) Arpita

2) Mehra

4) Rishab

5) None of these

**9.Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.**

1) 1 : 4

2) 2 : 5

3) 2 : 3

4) 3 : 4

5) None of these

**10.Who has secured 60% marks in Physics?**

1) Shreya

2) Arpita

3) Geetanjali

4) Rishab

5) None of these

1. 5

Since, Time Period is not given, So we cannot find.

2. 4

We can find the expenditure of a person using any two statements

3. 1

Area of IIgm = Area of two triangles

Area of triangle = √(s(s-a)(s-b)(s-c) )

4. 3

Let the speed of bus be ‘b’ and train be ‘t’

Distance = d

From statement A,

d/b+d/t=15 hrs

From statement C,

2d/t=15-3=12

d/t=6

So, 2d/b = (15-6)*2 = 18 kmph

5. 4

In radius = Area of triangle/semi perimeter

6. 4

Required % = (45*100)/75 = 60%

7. 5

Total marks obtained by Shreya = 348

Total marks od paper = 515

Required % = 348*100/515 = 67.5%

8. 1

Total marks of Mehra = 347

Total marks of Shreya = 348

Total marks of Geetanjali = 383

Total marks of Rishab = 343

Total marks of Arpita = 353

Total marks of Prashat = 360

9. 3

Required ratio = 56 : 84

= 2 : 3

10. 4

60% of 75 = 45

So, Answer is Rishab

## No comments:

## Post a Comment