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Question : Directions: Four pairs of numbers have been given, out of which three are alike in some manner, while one is different. Choose out the odd one.
Option 1: 6, 12
Option 2: 6, 16
Option 3: 12, 8
Option 4: 24, 4
Correct Answer: 6, 12
Solution : Let's check each option –
First option: 6, 12; 6 × 12 = 72 Second option: 6, 16; 6 × 16 = 96 Third option: 12, 8; 12 × 8 = 96 Fourth option: 24, 4; 24 × 4 = 96
Therefore, the number
Question : The National Highway 1A connects Leh to Kashmir Valley through the_________Pass.
Option 1: Khyber
Option 2: Zoji La
Option 3: Nathula
Option 4: Karakoram
Correct Answer: Zoji La
Solution : The correct option is Zoji La.
National Highway 1A traverses the Zoji La Pass, linking Leh with the Kashmir Valley. The numbering of national highways follows a directional pattern, with odd numbers for east-to-west highways and even numbers for north-to-south routes.
Question : Select the most appropriate ANTONYM of the given word.
ABOMINABLE
Option 1: Delightful
Option 2: Hateful
Option 3: Colourful
Option 4: Distasteful
Correct Answer: Delightful
Solution : The correct choice is the first option.
Abominable is synonymous with something detestable or unpleasant. Delightful signifies something that is extremely pleasing or enjoyable, making it the correct antonym.
The meanings of the other options are as follows:
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. A can be represented by 01, 20, etc, and B can be represented by 56, 65, etc. Similarly, you have to identify the set for the word, CARS.
Option 1: 66, 20, 31, 88
Option 2: 77, 33, 40, 69
Option 3: 96, 00, 23, 99
Option 4: 95, 01, 13, 77
Correct Answer: 77, 33, 40, 69
Solution : Given: CARS
Number representations of each letter – C→59, 66, 77, 88, 95 A→20, 01, 12, 33, 44 R→40, 31, 02, 23, 14 S→55, 76, 87, 98, 69
Let's check the options – First option: 66, 20, 31, 88 – S cannot
Question : If $\sec 2 \theta=\operatorname{cosec}(\theta-36°)$, where $2 \theta$ is an acute angle, find the value of $\theta$.
Option 1: 32°
Option 2: 46°
Option 3: 20°
Option 4: 42°
Correct Answer: 42°
Solution : Given, $\sec 2 \theta=\operatorname{cosec}\left(\theta-36° \right)$ We know, $ \operatorname{cosec}\theta = \operatorname{sec}(90°-\theta)$ ⇒ $\sec2\theta = \sec\{90°-(\theta-36°)\}$ ⇒ $\sec2\theta=\sec(90°-\theta+36°)$ ⇒ $2\theta=126°-\theta$ ⇒ $3\theta=126°$ ⇒ $\theta=\frac{126°}{3}=42°$ Hence, the correct answer is 42°.
Question : Select the correct indirect form of the given sentence. She said, “She must leave all the bad habits.”
Option 1: She said she has to leave all the bad habits
Option 2: She said that she must have leave all the bad habits
Option 3: She said that she had to leave all the bad habits.
Option 4: She said that she could leave all the bad habits
Correct Answer: She said that she had to leave all the bad habits.
Solution : The correct choice is the third option.
In this case:
The reporting verb "said" remains unchanged. The pronoun "she" is retained but shifted from the first person to the third person. The verb "must" changes
Question : What is the periodicity of Halley's comet?
Option 1: 30-31 years
Option 2: 45-46 years
Option 3: 85-86 years
Option 4: 75-76 years
Correct Answer: 75-76 years
Solution : The correct answer is 75-76 years
Every 75-76 years, Halley's Comet, often known as Comet Halley, is a short-period comet visible from Earth. Its formal designation is 1P/Halley. Due to its brief duration, Halley is the only comet that can be seen with the
Question : Two equal tangents PA and PB are drawn from an external point P on a circle with centre O. What is the length of each tangent, if P is 12 cm from the centres and the angle between the tangents is 120$^\circ$?
Option 1: 24 cm
Option 2: 6 cm
Option 3: 8 cm
Option 4: cannot be determined
Correct Answer: 6 cm
Solution : Given, $OP = 12$ cm and $\angle APB=120^\circ$ In $\triangle OPA$ and $\triangle OPB$, $PA=PB$ (equal tangents) $\angle OAP=\angle OBP=90^\circ$ (tangent is perpendicular to the radius at its point of contact) $OP=OP$ (common side) So, $\triangle OPA$ $\cong$ $\triangle OPB$ So, $\angle APO=\frac{120^\circ}{2}=60^\circ$ Now,
Question : In the Indian Constitution, the Right to Freedom is covered from____________.
Option 1: Articles 19 to 22
Option 2: Articles 26 to 30
Option 3: Articles 14 to 18
Option 4: Articles 23 to 25
Correct Answer: Articles 19 to 22
Solution : The correct option is Articles 19 to 22.
Articles 19 to 22 of the Indian Constitution encompass the Right to Freedom. These grant citizens fundamental rights, including freedom of speech, peaceful assembly, association, movement, residence and the right to practice any
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