Secretariat Assistant Mixed Practice Test #113

Question 1

PACE, launched by NASA on 8 February 2024, stands for:‌​‍

Accepted Answer

Plankton, Aerosol, Cloud, ocean Ecosystem — PACE = Plankton, Aerosol, Cloud, ocean Ecosystem — NASA Earth-science satellite.‌​‍

Answer

Plankton, Aerosol, Cloud, Ecosystem

Answer

Plankton, Algae, Cloud, ocean Ecosystem

Answer

Plankton, Atomiser, Cloud, Ecosystem

Question 2

The last temple consecrated by Sree Narayana Guru was at:

Accepted Answer

Kalavancode — Kalavancode temple (1927) was his last consecration; he installed only a mirror as the deity.

Answer

Aruvippuram

Answer

Varkala

Answer

Sivagiri

Question 3

Mean Value Theorem (Lagrange) guarantees c with:‌​‍

Accepted Answer

f'(c) = (f(b)-f(a))/(b-a) — At some c in (a,b), instantaneous rate equals average rate. ‌​‍Basis for many proofs.

Answer

f'(c) = 0

Answer

c = (a+b)/2

Answer

f(c) = 0

Question 4

Niagara Falls between:

Accepted Answer

USA and Canada — USA-Canada border.

Answer

USA and Mexico

Answer

Canada and Greenland

Answer

USA and Cuba

Question 5

Antonym of VICTORY:‌​‍

Accepted Answer

Defeat — Victory ↔ defeat.‌​‍

Answer

Triumph

Answer

Success

Answer

Win

Question 6

Factorise: x² − 9:

Accepted Answer

(x−3)(x+3) — Difference of squares: a² − b² = (a−b)(a+b).

Answer

(x−9)(x+9)

Answer

(x−3)²

Answer

(x+3)²

Question 7

Choose the correct antonym for 'magnificent' in: That is a magnificent movie.‌​‍

Accepted Answer

Small — 'Magnificent' (grand) vs 'Small' (not grand).‌​‍

Answer

Fantastic

Answer

Gigantic

Answer

Big

Question 8

Following the formation of the United State of Travancore and Cochin on July 1, 1949, significant changes were implemented in the administrative and political setup. Who was entrusted with the responsibility of serving as the first Chief Minister of this newly unified state, reflecting the transitional political dynamics of the period?

Accepted Answer

C. Parur T.K. Narayana Pillai — Parur T.K. Narayana Pillai, who was serving as the Prime Minister of Travancore at the time of the merger, was appointed as the first Chief Minister of the United State of Travancore and Cochin. This appointment was a crucial step in establishing the new administrative structure of the merged state. Pattam Thanu Pillai and C. Kesavan later served as Chief Ministers of Travancore-Cochin, while E.M.S. Namboodiripad became the first Chief Minister of the larger, linguistically reorganized state of Kerala in 1957.

Answer

A. C. Kesavan

Answer

B. Pattam Thanu Pillai

Answer

D. E. M. S. Namboodiripad

Question 9

Variance:

Accepted Answer

Mean of (x-μ)² — σ² = E[(X-μ)²] = E[X²] - μ². Standard deviation: σ = √variance.

Answer

Σx

Answer

μ

Answer

Mean

Question 10

Plane equation in normal form:

Accepted Answer

ax+by+cz+d=0 — (a,b,c) is normal vector. Distance from origin: |d|/√(a²+b²+c²).

Answer

ax+by+c=0

Answer

x+y+z=1

Answer

Only 2D

Secretariat Assistant Mixed Practice Test #113