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Question : Directions: In the following question, select the related number from the given alternatives. $\frac{1}{4}: \frac{1}{8}:: \frac{2}{3} :\ ?$
Option 1: $\frac{1}{3}$
Option 2: $\frac{1}{2}$
Option 3: 1
Option 4: $\frac{1}{4}$
Correct Answer: $\frac{1}{3}$
Solution : Given: $\frac{1}{4}: \frac{1}{8}:: \frac{2}{3} :\ ?$
Multiply the first number by $\frac{1}{2}$ to obtain the second number of each pair. Like, $\frac{1}{4}: \frac{1}{8}$→$\frac{1}{4}$ × $\frac{1}{2}$ = $\frac{1}{8}$ Similarly, follow the same pattern for $\frac{2}{3} :\ ?$→$\frac{2}{3}$ × $\frac{1}{2}$ = $\frac{1}{3}$
So, $\frac{2}{3}$ is related to
Question : The length of two parallel sides of a trapezium are 15 metres and 20 metres. If its height is 22 metres, then what is the area of the trapezium?
Option 1: 295 metre2
Option 2: 385 metre2
Option 3: 425 metre2
Option 4: 315 metre2
Correct Answer: 385 metre2
Solution : Given: The length of two parallel sides of a trapezium is 15 metres and 20 metres. Height = 22 metres We know, Area of a trapezium = $\frac{1}{2}$ × Sum of two parallel sides × Distance between the parallel sides ⇒ Area of
Question : Directions: AKM is related to DNP in a certain way based on the English alphabetical order. In the same way, BTS is related to EWV. To which of the following is LGK related following the same logic?
Option 1: OJN
Option 2: MHC
Option 3: KGL
Option 4: ADH
Correct Answer: OJN
Solution : Given: AKM is related to DNP and BTS is related to EWV.
Add 3 to the place value of letters of AKM, to get the required code – A + 3 = D; K + 3 = N; M + 3 = P Thus, AKM
Question : An acid having basicity 1 is
Option 1: Sodium dihydrogen phosphate
Option 2: Disodium hydrogen phosphate
Option 3: Sodium phosphate
Option 4: Phosphoric acid
Correct Answer: Disodium hydrogen phosphate
Solution : The correct option is Disodium hydrogen phosphate.
The acid with the basicity one is disodium hydrogen phosphate (Na2HPO4), which has one interchangeable hydrogen ion. Because phosphoric acid (H3PO4) has three interchangeable hydrogen ions, it
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Player, Captain, and Coach
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As we all know the best player during the match is appointed as the captain of the team but the player/captain during the match cannot be the coach. On the other hand, the coach is generally an experienced or retired player. Therefore, the circle of the
Question : Which of the following is widely used in making semiconductor chips?
Option 1: Radium
Option 2: Sodium
Option 3: Germanium
Option 4: Sulphur
Correct Answer: Germanium
Solution : The correct option is Germanium.
Germanium's electrical properties make it a suitable material for use in semiconductor applications. It has a high mobility of charge carriers (electrons and holes), for fast electronic switching.
Question : Study the given pie chart and answer the question that follows.
The pie chart shows the percentage of 3600 students enrolled in different hobby classes in a school. The number of students enrolled in Painting classes is approximately what percentage of those enrolled in Singing classes?
Option 1: 108%
Option 2: 83%
Option 3: 98%
Option 4: 78%
Correct Answer: 83%
Solution : Total Students = 3600 No. of students in Painting = 15% = $\frac{15}{100}\times 3600= 540$ No. of students in Singing = 18% = $\frac{18}{100}\times 3600 = 648$ The number of students enrolled in Painting classes to the percentage of those enrolled in Singing classes $=\frac{540}{648}×
Question : Directions: In the following question, some parts of the sentence may have some 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".
No sooner (1) / they had received the guests (2) / than they began entertaining them. (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 reason is that no sooner...than is a correlative conjunction, and it should be followed by the auxiliary verb (had) and then the subject (they) before the main verb (received), i.e., the law of inversion
Question : Bacterial cells do not have
Option 1: Cell wall
Option 2: Plasma membrane
Option 3: Ribosome
Option 4: Mitochondria
Correct Answer: Mitochondria
Solution : The correct option is Mitochondria.
Bacterial cells have a cell wall, a cell membrane and ribosomes. They do not, however, have mitochondria. Bacterial cells contain a cell wall usually formed of peptidoglycan, a unique polymer that gives structural support and protection to the cell.
Question : If $a+\frac{1}{a}=5$, then determine the value of $a^3+\frac{1}{a^3}$.
Option 1: 90
Option 2: 125
Option 3: 105
Option 4: 110
Correct Answer: 110
Solution : $a+\frac{1}{a}=5$ $⇒(a+\frac{1}{a})^3=5^3$ $⇒a^3+\frac{1}{a^3}+3×a×\frac{1}{a}(a+\frac{1}{a}) = 125$ $⇒a^3+\frac{1}{a^3} = 125 - (3×5) = 125 - 15 = 110$ Hence, the correct answer is 110.
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