Read the statements below and then the conclusions. Identify which conclusion definitely logically does NOT follow from the statements.

**Statements:**
- Only Paytm is G-pay.
- Only a few Paytm is UPI.
- Only a few PhonePe are UPI.
- All PhonePe are BharatPay.

**Conclusions:**

Question

Read the statements below and then the conclusions. Identify which conclusion definitely logically does NOT follow from the statements.

**Statements:**
- Only Paytm is G-pay.
- Only a few Paytm is UPI.
- Only a few PhonePe are UPI.
- All PhonePe are BharatPay.

**Conclusions:**

Accepted Answer

**Solution:**

Let's analyze the statements and conclusions step-by-step:

1. **Statements:**
   - "Only Paytm is G-pay" means G-pay is a subset of Paytm.
   - "Only a few Paytm is UPI" means some Paytm are UPI, but not all.
   - "Only a few PhonePe are UPI" means some PhonePe are UPI, but not all.
   - "All PhonePe are BharatPay" means PhonePe is a subset of BharatPay.

2. **Analyzing each conclusion:**

(a) **No G-pay is UPI**
   - Since G-pay is a subset of Paytm, and only a few Paytm are UPI, it is possible that some G-pay are UPI.
   - The statement "No G-pay is UPI" is a definite negative conclusion.
   - But from the statements, it is not necessarily true that no G-pay is UPI; some G-pay could be UPI.
   - Hence, conclusion (a) **does NOT definitely follow**.

(b) **All BharatPay being UPI is a possibility**
   - Since all PhonePe are BharatPay, and some PhonePe are UPI, it is possible that all BharatPay are UPI.
   - This is a possibility, so conclusion (b) can follow.

(c) **Some Paytm can be PhonePe**
   - There is no direct statement about the relation between Paytm and PhonePe.
   - Since no statement denies overlap, it is possible.
   - So conclusion (c) can follow as a possibility.

(d) **All UPI being BharatPe is a possibility**
   - Since some PhonePe are UPI and all PhonePe are BharatPay, it is possible all UPI are BharatPay.
   - So conclusion (d) can follow as a possibility.

3. **Summary:**
   - Only conclusion (a) definitely does NOT follow.

**Answer:** (a) No G-pay is UPI

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