**Directions (1-2): In each of the following questions, four words have been given, out of which three are alike is some manner and the fourth one is different. Choose out the odd one.**

**Q1.**

(a) Niger

(b) Colorado

(c) Mississippi

(d) Suez

**Q2.**

(a) Olympus

(b) Apollo

(c) Nataraj

(d) None of these

**Q3. Complete the third equation on the basis of a certain system followed in the first two equations.**

**(1) 5*4*2*1 = 1425**

**(2) 7*8*1*6 = 6817**

**(3) 9*3*7*5 = ?**

(a) 3795

(b) 5397

(c) 5973

(d) 5379

**Q4.Select the related word from the given alternatives:**

**Star : Telescope :: Ship : ?**

(a) Deck

(b) Microscope

(c) Periscope

(d) Gyroscope

**Q5. Which one of the four interchanges in signs and numbers would make the given equation correct?**

**3 + 5 – 2 = 4**

(a) + and –, 2 and 3

(b) + and –, 2 and 5

(c) + and –, 3 and 5

(d) None of these

**Directions (6): In this question, α stands for ‘equal to’; β for ‘greater than’; γ for ‘less than’ and δ for ‘not equal to’.**

**Q6. If 6x α 5y and 2y β 3z, then**

(a) 2x β 3z

(b) 4x β 5z

(c) 2x γ z

(d) 4x α 3z

**Directions (7): In this question, if the given interchanges are made in signs and numbers, which one of the four equations would be correct?**

**Q7. Given interchanges : Signs + and – and number 4 and 8**

(a) 4 ÷ 8 – 12 = 16

(b) 4 – 8 + 12 = 0

(c) 8 ÷ 4 – 12 = 24

(d) 8 – 4 ÷ 12 = 8

**Q8. If ÷ implies =, × implies <, + implies >, – implies ×, > implies ÷, < implies +, = implies -, identify the correct expression.**

(a) 1 – 3 > 2 + 1 – 5 = 3 – 1 < 2

(b) 1 – 3 > 2 + 1 × 5 = 3 × 1 > 2

(c) 1 × 3 > 2 + 1 × 5 × 3 – 1 > 2

(d) 1 – 3 > 2 + 1 × 5 + 3 – 1 > 2

**Q9. If > denotes +, < denotes -, + denotes ÷, – denotes =, = denotes ‘less than’ and × denotes ‘greater than’, find which of the following is a correct statement.**

(a) 3 + 2 > 4 = 9 + 3 < 2

(b) 3 > 2 > 4 = 18 + 3 < 1

(c) 3 > 2 < 4 × 8 + 4 < 2

(d) 3 + 2 < 4 × 9 + 3 < 3

**Q10. If + means ×, × means -, ÷ means + and – means ÷, then which of the following gives the result of 175 – 25 ÷ 5 + 20 × 3 + 10?**

(a) 77

(b) 260

(c) 88

(d) 137

**Solutions**

**S1. Ans.(d)**

**Sol.**All except Suez are rivers, while Suez is a canal.

**S2. Ans.(d)**

**S3. Ans.(d)**

**Sol.**The pattern is 4th,2nd,3rd and 1st

**S4. Ans.(c)**

**Sol.**Star is related to Telescope, similarly Ship is related to Periscope.

**S5. Ans.(c)**

**Sol.**

By making the interchanges given in (a)

2 – 5 + 3 = 4 or 0 = 4, which is false.

By making the interchanges given in (b)

3 – 2 + 5 = 4 or 6 = 4, which is false.

By making the interchanges given in (c)

5 – 3 + 2 = 4 or 4 = 4, which is true.

So, the answer is (c).

**S6. Ans.(b)**

**Sol.**6x α 5y ⇒ 6x = 5y

and 2y β 3z ⇒ 2y > 3z

⇒ 6x = 5y and y>3z/2

⇒ 6x = 5y and 5y >15z/2⇒6x>15z/2

⇒ 12x > 15z ⇒ 4x > 5z

⇒ 4x > 5z i.e. 4x β 5z

**S7. Ans.(b)**

**Sol.**On interchanging + and – and 4 and 8 in (b), we get the equation as:

8 + 4 – 12 = 0 or 12 – 12 = 0 or 0 = 0, which is true

**S8. Ans.(d)**

**Sol.**Using the proper notations in (d), we get the statement as:

1 × 3 ÷ 2 > 1 < 5 > 3 × 1 ÷ 2 or 3/2>1<5>3/2, which is true.

**S9. Ans.(c)**

**Sol.**Using proper notations, we have:

(a) Given statement is 3 ÷ 2 + 4 < 9 ÷ 3 – 2 or 11/2 < 1, which is not true

(b) Given statement is 3 + 2 + 4 < 18 ÷ 3 – 1 or 9 < 5, which is not true

(c) Given statement is 3 + 2 – 4 > 8 ÷ 4 – 2 or 1 > 0, which is true

(d) Given statement is 3 ÷ 2 – 4 > 9 ÷ 3 – 3 or -5/2 > 0, which is not true

So, the statement (c) is true.

**S10. Ans.(a)**

**Sol.**Using the proper signs in the given expression, we get:

175 ÷ 25 + 5 × 20 – 3 × 10 = 7 + 5 × 20 – 3 × 10 = 7 + 100 – 30

= 107 – 30 = 77