Assertion (A) : During the Neap Tides, the high tide is lower and the low tide is higher than usual. Reason (R) : The Neap Tide, unlike the Spring Tide, occurs on the New Moon instead of on the Full Moon.

Assertion is correct: neap tides produce a reduced tidal range — high tides are a little lower and low tides are a little higher than average — because the solar and lunar bulges partially cancel, yielding moderate tides [1]. The Reason is incorrect: neap tides do not occur on the new moon; they occur about a week after spring tides when the Sun and Moon are at right angles (first and third quarter phases). Spring tides, by contrast, occur at new and full moon when the Sun, Moon and Earth are aligned, producing higher high tides and lower low tides [2]. Therefore A is true and R is false.

Sources

1. [1] https://oceanservice.noaa.gov/facts/springtide.html
2. [2] Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 32: Ocean Movements Ocean Currents And Tides > Neap Tides > p. 504