Read the following information and answer the questions based on it.
P @ Q means P is either greater than or equal to Q
P + Q means P is either smaller than or equal to Q
P % Q means P is greater than Q
P × Q means P is smaller than Q
P $ Q means P is neither greater than nor smaller than Q.
Now in each of the following questions assuming the given statement to be true, find which of the two conditions I and II given below them is/are definitely true? Give answer
A. If only conclusion I is true
B. If only conclusion II is true
C. If either I or II is true
D. If neither I or II is true
E. If both I and II are true
1. Statements : M @ R, R % T, T $ K
Conclusion : (I) K × M, (II) T × M
Answer: Option E
Explanation:
M [latex]\geq[/latex] R > T = K
Conclusion I : K < M (True)
Conclusion II : T < M (True)
Hence, both conclusions are true.
2. In a certain code language ‘how many are there’ is written as ‘ka na ta da’ and ‘many are welcome here’ is written as ‘na pa ni ka’. How is ‘how’ written in that code language?
A. ta
B. da
C. ta or da
D. Data inadequate
E. None of these
Answer: Option C
Explanation:
how many are there - ka na ta da - (i)
many are welcome here - na pi ni ka - (ii)
From equations (i) and (ii) many are - na ka
how - ta or da
3. If ‘R’ denotes ‘÷’, ‘T’ denotes ‘–’, ‘M’ denotes ‘+’ and ‘W’ denotes ‘×’, then 27 T 15 R 3 W 4 M 6 = ?
A. 7
B. 13
C. -23
D. 1
E. None of these
Answer: Option B
Explanation:
Given arrangement = 27 T 15 R 3 W 4 M 6
According to question, letters converted into mathematical symbols
= 27 – 15 ÷ 3 × 4 + 6 = 27 – 5 × 4 + 6
= 27 – 20 + 6 = 33 – 20 = 13
4. Statements : H % J, B + J, B @ F
Conclusion : (I) F $ J, (II) J % F
Answer: Option C
Explanation:
M > J [latex]\geq[/latex] B [latex]\geq[/latex] F
Conclusion I : F = J
Conclusion II: J > J
Hence, either I or II is true.
5. Statements : D $ M, M % W, W @ R
Conclusion : (I) R × D, (II) W + D
Answer: Option A
Explanation:
D = M > W [latex]\geq[/latex] R
Conclusion I : R < D (True)
Conclusion II : W [latex]\leq[/latex] D (False)
Hence, only conclusion I is true.