GATE 2018-CIVIL ENGINEERING-02-Q9-GA-QUANTITATIVE- A A MULTIPLE CHOICE QUESTION-SOLVED USING THE IP=PSPACE SYNDROME

3. 𝑦 − 𝑧
log 𝑃
=
𝑧 − 𝑥
𝑙𝑜𝑔𝑄
=
𝑥 − 𝑦
𝑙𝑜𝑔𝑅
=
1
10

4. 𝑦 − 𝑧
log 𝑃
=
𝑧 − 𝑥
𝑙𝑜𝑔𝑄
=
𝑥 − 𝑦
𝑙𝑜𝑔𝑅
=
1
10
𝑦−𝑧 + 𝑧−𝑥 +(𝑥−𝑦)
𝑙𝑜𝑔𝑃𝑄𝑅
=
1
1000

5. 𝑦 − 𝑧
log 𝑃
=
𝑧 − 𝑥
𝑙𝑜𝑔𝑄
=
𝑥 − 𝑦
𝑙𝑜𝑔𝑅
=
1
10
𝑦−𝑧 + 𝑧−𝑥 +(𝑥−𝑦)
𝑙𝑜𝑔𝑃𝑄𝑅
=
1
1000
0
𝑙𝑜𝑔𝑃𝑄𝑅
=
1
1000
=
0
0

6. log 𝑃𝑄𝑅 = 0
OR PQR=1

7. log 𝑃𝑄𝑅 = 0
OR PQR=1