  We report the results of our investigation of magnetization and heat capacity
on a series of compounds Ce1-xYxNiGe2 (x = 0.1, 0.2 and 0.4) under the
influence of external magnetic field. Our studies of the thermodynamic quantity
-dM/dT on these compounds indicate that magnetic frustration persists in
Ce0.9Y0.1NiGe2, as also reported for the parent compound CeNiGe2. The weak
signature of this frustration is also noted in Ce0.8Y0.2NiGe2, whereas, it is
suppressed in Ce0.6Y0.4NiGe2. Heat capacity studies on Ce0.9Y0.1NiGe2 and
Ce0.8Y0.2NiGe2 indicate the presence of a new magnetic anomaly at high field
which indicates that quantum criticality is absent in these compounds. However,
for Ce0.6Y0.4NiGe2 such an anomaly is not noted. For this later compound, the
magnetic field (H) and temperature (T) dependence of heat capacity and
magnetization obey H/T scaling above critical fields. However, the obtained
scaling critical parameter ({\delta}) is 1.6, which is away from mean field
value of 3. This deviation suggests the presence of unusual fluctuations and
anomalous quantum criticality in these compounds. This unusual fluctuation may
arise from disorderness induced by Y-substitution.
