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
