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Question : If in acute-angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?
Option 1: AL + BM + CN = AB + BC + CA
Option 2: AL + BM = AB + BC
Option 3: AL + BM + CN > AB + BC + CA
Option 4: AL + BM + CN < AB + BC + CA
Correct Answer: AL + BM + CN < AB + BC + CA
Solution :
We know the theorem states that the sum of three altitudes of a triangle is less than the sum of three sides of the triangle. The altitudes form right angles with the opposite sides of
Question : The tomb of Itimad-ud-Daulah inlaid with Pietra dura decoration, is located at:
Option 1: Aurangabad
Option 2: Agra
Option 3: Ajmer
Option 4: Alwar
Correct Answer: Agra
Solution : The correct answer is Agra
Itimad-ud-Daulah's tomb is situated in Agra, beside the Yamuna River's banks. The Mughal queen Noor Jahan, who was Emperor Jahangir's wife, constructed it. Many people consider Itimad-ud-Daulah's tomb to be an early version of the Taj Mahal. It is renowned
Question : A number is first increased by 8% and then decreased by 3% to get 2619. What is 5% of that number?
Option 1: 125
Option 2: 135
Option 3: 130
Option 4: 140
Correct Answer: 125
Solution : Let the number be $x$. The number first increased by 8%, then decreased by 3%. According to the question, $x×\frac{108}{100}×\frac{97}{100}=2619$ $⇒x=2500$ Now, 5% of $x$ = $2500×\frac{5}{100}=125$ Hence, the correct answer is 125.
Question : The temperature of boiling water in a steam engine may be high because:
Option 1: there are dissolved substances in water
Option 2: there is low pressure inside the boiler
Option 3: there is high pressure inside the boiler
Option 4: the fire is at very high temperature
Correct Answer: there is high pressure inside the boiler
Solution : The correct option is there is high pressure inside the boiler.
Due to the high pressure inside the boiler in a steam engine, boiling water has a high temperature. High pressure allows water to reach higher temperatures before boiling.
Question : Select the correct idiom that can substitute the italicised group of words in the given sentence. He really stinks and smells foul after a hard session at the gym.
Option 1: an old flame
Option 2: an iron will
Option 3: pen and ink
Option 4: lame excuse
Correct Answer: pen and ink
Solution : The correct choice is the third option.
The idiom pen and ink is a rhyming slang for "stink", and it's often used informally to describe a foul or unpleasant odour. In the given sentence, the context is about someone smelling foul after a
Question : Which of the following waves has the highest frequency?
Option 1: Radio
Option 2: Infrared
Option 3: Microwaves
Option 4: Gamma-rays
Correct Answer: Gamma-rays
Solution : The correct option is Gamma rays.
Gamma rays possess the highest frequency within the spectrum of electromagnetic radiation.They fall under the category of ionizing radiation, signifying that they carry sufficient energy to liberate tightly bound electrons from atoms, potentially causing detrimental effects on living
Question : Directions: Which two signs should be interchanged to make the given equation correct? 912 – 456 × 28 + 390 ÷ 2 = 444
Option 1: ÷ and –
Option 2: ÷ and +
Option 3: – and +
Option 4: + and ×
Correct Answer: ÷ and –
Solution : Given: 912 – 456 × 28 + 390 ÷ 2 = 444
Replace the given symbols in the options one by one with the original symbols in the given equation and apply the BODMAS rule. First option: ÷ and – = 912 ÷
Question : Two points A and B are on the ground and on opposite sides of a tower. A is closer to the foot of the tower by 42 m than B. If the angles of elevation of the top of the tower, as observed from A and B are 60° and 45°, respectively, then the height of the tower is closest to:
Option 1: 87.6 m
Option 2: 98.6 m
Option 3: 88.2 m
Option 4: 99.4 m
Correct Answer: 99.4 m
Solution : PQ is a tower and let AQ be $x$ m and BQ = $x + 42$ In $\triangle APQ$ $\tan 60° = \frac{PQ}{AQ}$ ⇒ $\sqrt3 = \frac{PQ}{x}$ ⇒ $PQ = \sqrt3 x$.....................................(1) In $\triangle PBQ$ $\tan 45° = \frac{PQ}{QB}$ ⇒ $1 = \frac{PQ}{x +
Question : The soil conservation method in which mountain slope is cut into step is
Option 1: Contour ploughing
Option 2: Cover planting
Option 3: Strip cropping
Option 4: Terracing
Correct Answer: Terracing
Solution : The correct option is Terracing.
Terracing, a land management strategy that involves the development of level or slightly sloping platforms on steep terrain, has numerous significant advantages. By reducing water flow and conserving important topsoil, it effectively reduces soil erosion. These flat or moderately sloping
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
As I see it, he appears (1) / to be unreasonable anxious (2) / about pleasing his wife. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence.
The word unreasonable should be replaced with the adverb form unreasonably to convey the intended meaning that he is excessively anxious about pleasing his wife. Unreasonably is used to modify the adjective anxious and is
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