LDC Mixed Practice Test #641

Question 1

Area of a triangle using Heron's formula requires:

Accepted Answer

All three sides (a, b, c) — Heron: A = √[s(s−a)(s−b)(s−c)] where s = (a+b+c)/2.

Answer

Only base

Answer

Two sides

Answer

Angles

Question 2

Goa statehood:‌​‍

Accepted Answer

1987 — 1987 — liberated 1961.‌​‍

Answer

1975

Answer

1961

Answer

1990

Question 3

DPDPA (Digital Personal Data Protection Act):‌​‍

Accepted Answer

2023 — Passed 2023.‌​‍

Answer

2024

Answer

2021

Answer

2019

Question 4

Where was the Ghadar Party founded?‌​‍

Accepted Answer

San Francisco — 1913 in San Francisco.‌​‍

Answer

Tokyo

Answer

Berlin

Answer

London

Question 5

Synonym of PRUDENT:‌​‍

Accepted Answer

Wise — Careful, judicious.‌​‍

Answer

Foolish

Answer

Careless

Answer

Reckless

Question 6

Empirical formula of benzene (C₆H₆) is:‌​‍

Accepted Answer

CH — Empirical = simplest whole-number ratio. ‌​‍Acetylene also CH; glucose C₆H₁₂O₆ is CH₂O.

Answer

C₆H₆

Answer

CH₂

Answer

C₂H₂

Question 7

Kerala's electrification year (100%):

Accepted Answer

2017 — First fully electrified state — 2017.

Answer

2019

Answer

2021

Answer

2015

Question 8

The arithmetic mean of first 10 odd numbers (1,3,...,19) is:

Accepted Answer

10 — Sum = 10² = 100; mean = 100/10 = 10.

Answer

9

Answer

11

Answer

20

Question 9

A young woman presents with a history of recent grief. She exhibits paradoxical symptoms, such as a sore throat better by swallowing solids than liquids, and a spasmodic cough that is worse the more she coughs. She is prone to sighing and sudden mood changes. Which remedy is indicated?

Accepted Answer

A. Ignatia amara — Ignatia amara is the key remedy for complaints arising from grief, characterized by paradoxical symptoms (like sore throat better swallowing solids), spasmodic cough, frequent sighing, and sudden mood changes. Natrum muriaticum is also for grief but with a more reserved and silent nature, Staphysagria for suppressed anger, and Lachesis for left-sided complaints and loquacity.

Answer

B. Natrum muriaticum

Answer

C. Staphysagria

Answer

D. Lachesis

Question 10

Higher-order derivative d²y/dx² is:‌​‍

Accepted Answer

All of above — Second derivative. ‌​‍Positive: concave up; negative: concave down. Zero and changing sign: point of inflection.

Answer

Acceleration (in kinematics)

Answer

Rate of change of rate

Answer

Concavity indicator

LDC Mixed Practice Test #641