National Aptitude Test in Architecture
Question : Which of the following statement(s) is/are TRUE? I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : Evaluating the given statements: I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ Squaring both sides we get: ⇒ $(\sqrt{11}+\sqrt7)^2<(\sqrt{10}+\sqrt8)^2$ ⇒ $11+7+2\sqrt{77}<10+8+2\sqrt{80}$ ⇒ $18+2\sqrt{77}<18+2\sqrt{80}$ So, statement I is true. II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$ Squaring both sides we get: ⇒ $(\sqrt{17}+\sqrt{11})^2>(\sqrt{15}+\sqrt{13})^2$ ⇒ $17+11+2\sqrt{187}>15+13+2\sqrt{195}$ ⇒ $28+2\sqrt{187}>28+2\sqrt{195}$ So, statement II is wrong. Hence, the correct answer
Question : Which of the following about the impact of economic reforms of the businesses is incorrect?
Option 1: Firms used to follow production oriented approach.
Option 2: PSU have realised that they need to improve their performance otherwise it would leads to disinvestment.
Option 3: The market forces have become trubulent and enterprises have to continuously modified their operations and policies.
Option 4: All of the above are correct.
Correct Answer: Firms used to follow production oriented approach.
Solution : With the increasing competition the firm has shifted to market oriented approach, i.e., study and analyse the need of the market first and then produce goods and services to satisfied the needs of the customers. Hence Option A is
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Do not look _________ on women.
Option 1: down
Option 2: right
Option 3: left
Option 4: up
Correct Answer: down
Solution : The first option is the correct answer.
In the context of the sentence, the word "down" is the most appropriate choice. The phrase "look down on" means to regard someone with disdain or contempt or to treat one as inferior. So, the sentence states not
Question : If in a $\triangle$ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and $\frac{AD}{BD}$ = $\frac{3}{5}$. If AC = 4 cm, then AE is:
Option 1: 1.5 cm
Option 2: 2.0 cm
Option 3: 1.8 cm
Option 4: 2.4 cm
Correct Answer: 1.5 cm
Solution : Given: $\frac{AD}{BD}$ = $\frac{3}{5}$ In $\triangle$ABC and $\triangle$DBE, $\angle$BAC = $\angle$DAE (same angle) $\angle$ADE = $\angle$ABC (corresponding angles) $\angle$AED = $\angle$ACB (corresponding angles) By AAA similarity, $\triangle$ABC ~ $\triangle$ADE ⇒ $\frac{AD}{AB}$ = $\frac{AD}{AD+BD}$ = $\frac{3}{3+5}$ = $\frac{3}{8}$ Now, $\frac{AD}{AB}$ = $\frac{AE}{AC}$ ⇒ $\frac{3}{8}$ =
Question : In which of the following articles, "Culture and Educational Rights" are mentioned?
Option 1: Articles 25-28
Option 2: Articles 23-24
Option 3: Articles 19-22
Option 4: Articles 29-30
Correct Answer: Articles 29-30
Solution : The correct option is Article 29-30.
Articles 29 and 30 of the Indian Constitution refer to "Culture and Educational Rights." These articles address citizens' rights to culture and education, especially those of linguistic and religious minorities. Article 29 guarantees minorities the freedom to
Question : Put the appropriate prepositions in the blanks given the following sentences : All the teachers and the students agreed ...................... my plan.
Option 1: of
Option 2: into
Option 3: to
Option 4: by
Correct Answer: to
Solution : The correct answer is option 3.
Explanation:
One of the most widely used prepositions in English is "to." The preposition "to" is also a part of the verb's infinitive form. To means "in order to" when the preposition "to" is used as an infinitive of
Question : Select the INCORRECTLY spelt word.
Option 1: Manipulate
Option 2: Postulate
Option 3: Stippulate
Option 4: Calculate
Correct Answer: Stippulate
Solution : The third option is correct.
The incorrectly spelled word is stippulate. It contains an extra consonant.
Stipulate is the correct spelling, and it means to state exactly what must be done.
Question : P. R. Sreejesh, who was awarded the "Major Dyan Chand Khel Ratna Award 2021" is associated with which sports?
Option 1: Football
Option 2: Boxing
Option 3: Wrestling
Option 4: Hockey
Correct Answer: Hockey
Solution : The correct option is Hockey.
P. R. Sreejesh is an Indian field hockey player who is renowned as a goalkeeper. He was among the 12 sportspersons who received the Major Dhyan Chand Khel Ratna Award 2021. This award was given by the President at
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