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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. P can be represented by 12, 24, etc. and O can be represented by 57, 68, etc. Similarly, you have to identify the set for the word given in the question. WARD Matrix I
Matrix II
Option 1: 58, 10, 67, 75
Option 2: 77, 22, 67, 88
Option 3: 96, 42, 79, 87
Option 4: 89, 34, 86, 96
Correct Answer: 58, 10, 67, 75
Solution : Given: WARD
Number representations of each letter – W→65, 96, 77, 58, 89 A→10, 41, 22, 03, 34 R→55, 86, 67, 98, 79 D→75, 56, 87, 68, 99
First option: 58, 10, 67, 75; All the letters of the word WARD can
Question : Which of the following articles of the Indian Constitution is related to the Right to Freedom?
Option 1: Article 17
Option 2: Article 19
Option 3: Article 18
Option 4: Article 16
Correct Answer: Article 19
Solution : The correct answer is Article 19
The right to freedom in the Indian Constitution is primarily enshrined in Article 19. Article 19 guarantees six specific freedoms to the citizens of India, including the freedom of speech and expression, the freedom to assemble peacefully and
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. I have a dog and a cow. / A dog is black / but the cow is / black and white.
Option 1: A dog is black
Option 2: black and white
Option 3: but the cow is
Option 4: I have a dog and a cow
Correct Answer: A dog is black
Solution : The error lies in the first option.
Explanation: The phrase "a dog is black" was adjusted to "the black dog", offering specificity about the colour of the dog and maintaining consistency with the subsequent details. Furthermore, the definite article "the" before "dog
Question : A sum of money at simple interest amounts to INR 800 in 3 years and to INR 900 in 4 years. The sum is:
Option 1: INR 800
Option 2: INR 600
Option 3: INR 500
Option 4: INR 700
Correct Answer: INR 500
Solution : Amount for 3 years = INR 800 Amount for 4 years = INR 900 Simple interest = Amount – Principal $\therefore$ Simple interest for third year = 900 – 800 = INR 100 Total simple interest for 3 years = 100 × 3 =
Question : Simplify the following: $\frac{\cos x-\sqrt{3} \sin x}{2}$
Option 1: $\cos \left(\frac{\pi}{3}-x\right)$
Option 2: $\sin \left(\frac{\pi}{3}+x\right)$
Option 3: $\cos \left(\frac{\pi}{3}+x\right)$
Option 4: $\sin \left(\frac{\pi}{3}-x\right)$
Correct Answer: $\cos \left(\frac{\pi}{3}+x\right)$
Solution : Given, $\frac{\cos x-\sqrt{3} \sin x}{2}$ = $\frac{1}{2} \cos x-\frac{\sqrt3}{2}\sin x$ = $\cos x \cos \frac{\pi}{3} - \sin \frac{\pi}{3} \sin x$ [$\because\cos \frac{\pi}{3}=\frac{1}{2}$ and $\sin \frac{\pi}{3}=\frac{\sqrt3}{2}$] = $\cos( \frac{\pi}{3}+x)$ Hence, the correct answer is $\cos( \frac{\pi}{3}+x)$.
Question : Directions: Navya starts walking from her home and goes 27 m towards the west. From there, she turns right and walks a certain distance of P m. Then she turns right and walks 16 m. She then turns right again and walks 72 m. After that, she turns left and walks 11 m. If Navya's current position is 11 m north of her home, then what is the value of P?
Option 1: 56 m
Option 2: 72 m
Option 3: 83 m
Option 4: 45 m
Correct Answer: 83 m
Solution : According to the instructions given, the diagram is as follows –
Here, O is the starting point and G is the finishing point. OA = 27m; AB = Pm; BC = 16m; CD = 72m; DG = 11m; GO = 11m AB = CD
Question : A speeding car travelling at 40 km/hr decides to slow down to 30 km/hr after covering half the distance. What is the average speed?
Option 1: $30$ km/hr
Option 2: $\frac{120}{7}$ km/hr
Option 3: $\frac{240}{7}$ km/hr
Option 4: $35$ km /hr
Correct Answer: $\frac{240}{7}$ km/hr
Solution : Here $s_1=40$ and $s_2=30$ $\therefore$ Average speed = $\frac{2s_1s_2}{s_1+s_2}=\frac{2×40×30}{40+30}=\frac{240}{7}$ km/hr Hence, the correct answer is $\frac{240}{7}$ km/hr.
Question : Directions: There are six children playing ludo, namely 1, 2, 3, 4, 5, and 6. 1 and 5 are brothers. 6 is the sister of 5. 3 is the only son of 1's father's brother. 2 and 4 are the daughters of the only brother of 3's father. How is 4 related to 1?
Option 1: Sister
Option 2: Uncle
Option 3: Niece
Option 4: Cousin
Correct Answer: Sister
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, 4 is the sister of 1. Hence, the first option
Question : Select the option that can be used as a one-word substitute for the given group of words.
Spoken or done without any previous thought or preparation
Option 1: Inaugural
Option 2: Maiden
Option 3: Extempore
Option 4: Initiative
Correct Answer: Extempore
Solution : The third option is correct.
The group of words spoken or done without any previous thought or preparation can be succinctly represented by the one-word substitute extempore.
Extempore is an adjective that describes something that is spoken, performed, or done without prior preparation or rehearsal.
Question : A new seafloor is created at a:
Option 1: Deep sea trench
Option 2: Mid-ocean ridge
Option 3: Transform fault
Option 4: Subduction zone
Correct Answer: Mid-ocean ridge
Solution : The correct answer is Mid-ocean ridge
New seafloor is created at a mid-ocean ridge, and mid-ocean ridges occur along the divergent plate boundaries. New seafloor, also known as the ocean floors. The molten material from the Earth is pushed upward to the surface of
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