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Question : Directions: Which of the following letter clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : KNF :: QCV : %
Option 1: # = IPD, % = OET
Option 2: # = HPD, % = NFS
Option 3: # = MLH, % = OET
Option 4: # = HQC, % = NFS
Correct Answer: # = MLH, % = OET
Solution : Given: # : KNF :: QCV : %
Let's check the options – First option: # = IPD, % = OET IPD : KNF→I + 2 = K; P – 2 = N; D + 2 = F QCV :
Question : A person was standing on a road near a mall. He was 1215 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The tree's height is 20 m and it is 60 m away from him. How tall (in m) is the mall?
Option 1: 300
Option 2: 375
Option 3: 405
Option 4: 250
Correct Answer: 405
Solution : Let the height of the mall be AB. In $\triangle DEC$, $\tan\theta = \frac{DE}{CE}$ ⇒ $\tan\theta = \frac{20}{60}$ ⇒ $\tan\theta = \frac{1}{3}$ In $\triangle ABC$, $\tan\theta = \frac{AB}{BC}$ ⇒ $\frac{1}{3} = \frac{AB}{1215}$ ⇒ AB = 405 m Hence, the correct answer is 405.
Question : If, for a non-zero $x, 5 x^2+7 x+5=0$, then the value of $x^3+\frac{1}{x^3}$ is:
Option 1: $\frac{496}{125}$
Option 2: $\frac{532}{343}$
Option 3: $\frac{125}{532}$
Option 4: $\frac{182}{125}$
Correct Answer: $\frac{182}{125}$
Solution : Given, $5 x^2+7 x+5=0$ ⇒ $5x^2+5 = -7x$ Dividing both sides by $5x$, we get, ⇒ $x+\frac{1}{x}=-\frac{7}{5}$ -----------------(1) Cubing both sides, we get, ⇒ $x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=-\frac{343}{125}$ ⇒ $x^3+\frac{1}{x^3}+3(-\frac{7}{5})=-\frac{343}{125}$ ⇒ $x^3+\frac{1}{x^3}=-\frac{343}{125}+\frac{21}{5}$ $\therefore x^3+\frac{1}{x^3}=\frac{182}{125}$ Hence, the correct answer is $\frac{182}{125}$.
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the question figure – 1. The circle is shifted one position in an anticlockwise direction. 2. The triangle is shifted in one position in an anticlockwise direction. So, following the above pattern, the required figure will be as follows –
Therefore, the figure in
Question : Which of the following becomes the first district in India to cover 100% of households under the AB PMJAY- SEHAT scheme?
Option 1: Samba - Jammu and Kashmir
Option 2: Pratapgarh – Rajasthan
Option 3: Kheda – Gujarat
Option 4: Mansa – Punjab
Correct Answer: Samba - Jammu and Kashmir
Solution : The correct answer is Samba - Jammu and Kashmir.
The Samba district of the Jammu division in the Union Territory of Jammu and Kashmir has become the first district in India to cover 100% of households under the Ayushman Bharat
Question : Cooking gas is a mixture of:
Option 1: methane and ethylene
Option 2: carbon dioxide and oxygen
Option 3: butane and propane
Option 4: carbon monoxide and carbon dioxide
Correct Answer: butane and propane
Solution : The correct option is butane and propane.
Cooking gas typically refers to liquefied petroleum gas (LPG), which is a mixture of primarily two hydrocarbons: propane (C3H8) and butane (C4H10). These gases are commonly used
Question : Directions: In the following question, select the word that cannot be formed using the letters of the given word. PRECIPITATE
Option 1: PAIR
Option 2: PART
Option 3: RECITE
Option 4: PAIN
Correct Answer: PAIN
Solution : Given:
PRECIPITATE
Let's compare all the option words with the given word. First option: PAIR; All the letters of PAIR are present in the word PRECIPITATE. Second option: PART; All the letters of PART are present in the word PRECIPITATE. Third option: RECITE;
Question : Directions: In each of the following questions, Which answer figure will complete the series?
Solution : According to the given figures – 1. The number of small circles surrounding the small square is increased by one in each figure series as compared to the previous figure in an anticlockwise direction. 2. The position of small circles outside the sides of the square
Question : In the given figure, the area of isosceles triangle $\text{PQT}$ is $128\;\mathrm{cm^2}$ and $\text{QT = PQ}$, $\text{PQ= 4 PS}$ and $\text{PT || SR}$. Then what is the area (in $\mathrm{cm^2}$ ) of the quadrilateral $\text{PTRS}$?
Option 1: $80$
Option 2: $64$
Option 3: $124$
Option 4: $72$
Correct Answer: $64$
Solution : Given that $\mathrm{PQT}$ is an isosceles triangle with $\mathrm{QT = PQ}$, and $\mathrm{PQ= 4 PS}$. The height of the triangle $\mathrm{PQT}$ is four times the height of the quadrilateral $\mathrm{PTRS}$. The area of a triangle $=\frac{1}{2} \times \text{base} \times \text{height}$ The area of the triangle
Question : Parts of a sentence are given below in jumbled order, except for the first part. Arrange the parts in the correct order to form a meaningful sentence.
It is... A. who are continually trying to improve B. not the least talented C. their dialogue skills, D. the most talented people
Option 1: DACB
Option 2: BADC
Option 3: CDBA
Option 4: ABDC
Correct Answer: DACB
Solution : The correct choice is the first option.
Explanation: Starting with "It is..." (unseen but implied), the sentence's logical flow would be:
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