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Question : If a wheel has a diameter of 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 21.45
Option 2: 23.27
Option 3: 15.84
Option 4: 17.64
Correct Answer: 15.84
Solution : Use : C = $\pi$ × d, where, C is the Circumference of the circle, d is the diameter According to the question C = $\pi$ × d = $\frac{22}{7}$ × 42 = 132 cm $\therefore$ Total distance = Distance per revolution × Number of
Question : Who among the following Mauryan kings turned to Buddhism and its tenet of nonviolence after the Kalinga war?
Option 1: Chandragupta Maurya
Option 2: Bindusara
Option 3: Ashoka
Option 4: Dasharatha
Correct Answer: Ashoka
Solution : The correct answer is Ashoka.
The last significant ruler of India's Mauryan dynasty was Ashoka. Following his victorious conquest of the Kalinga, he turned to Buddhism, gave up violent conquest and embraced a strategy he called "conquer by dharma," realising the carnage of the
Question : Directions: Select the option that represents the letters that when sequentially placed from left to right in the blanks will complete the letter series. w_ll_g_we_ln_k_e_l_ gk
Option 1: enklgwkn
Option 2: enklgwln
Option 3: enklwgIn
Option 4: enlkgwkn
Correct Answer: enklgwln
Solution : Given: w_ll_g_we_ln_k_e_l_ gk
To fill the series, we have to divide the series – w_ll_g_ / we_ln_k / _e_l_gk Let's check each option – First option: enklgwkn; wellngk / wellngk / wekln
Question : A circle with centre O has a chord AB that is 20 cm in length. If the radius of the circle is 12 cm, then the area of triangle AOB is:
Option 1: $20 \sqrt{15}$ cm2
Option 2: $22 \sqrt{11}$ cm2
Option 3: $20 \sqrt{11}$ cm2
Option 4: $22 \sqrt{15}$ cm2
Correct Answer: $20 \sqrt{11}$ cm2
Solution : The area of triangle AOB, $ = \frac{1}{2} \times \text{base} \times \text{height}$ In triangle AOB, AB is the base and the height is the perpendicular drawn from the centre O to the chord AB. Use the Pythagorean theorem, $OD = \sqrt{12^2 -
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer 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 PQ). So, the left side of the reflected image will appear
Question : A stretch of seawater, partly or fully separated by a narrow strip from the main sea, is called
Option 1: Bay
Option 2: Isthmus
Option 3: Lagoon
Option 4: Strait
Correct Answer: Lagoon
Solution : The correct answer is Lagoon.
Smaller bodies of water called lagoons are frequently isolated from the large ocean by a sandbar, reef, or barrier island. Lagoons are present in both tropical and polar regions of the planet. Lagoons are significant ecosystems that offer several advantages
Question : If $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$, then find the value of $\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$.
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$ ⇒ $a^2=b+c$, $b^2=c+a$, and $c^2=a+b$ Now, $\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$ Multiplying the numerator and denominator of the first, second, and third term by $a$, $b$, and $c$ respectively. $=\frac{2a}{a+a^2}+\frac{2b}{b+b^2}+\frac{2c}{c+c^2}$ $=\frac{2a}{a+b+c}+\frac{2b}{b+a+c}+\frac{2c}{c+a+b}$ $=\frac{2a+2b+2c}{a+b+c}$ $=\frac{2(a+b+c)}{a+b+c}$ $=2$ Hence, the correct answer is 2.
Question : If $x^4+y^4+x^2 y^2=17 \frac{1}{16}$ and $x^2-x y+y^2=5 \frac{1}{4}$, then one of the values of $(x-y)$ is:
Option 1: $\frac{5}{2}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{5}{4}$
Option 4: $\frac{3}{2}$
Correct Answer: $\frac{5}{2}$
Solution : Given: $x^4+y^4+x^2 y^2=17 \frac{1}{16}$..........................(1) $x^2-x y+y^2=5 \frac{1}{4}$..........................(2) ⇒ $x^4 + y^4 + x^2y^2 = (x^2 - xy + y^2) (x^2 + xy + y^2)$ ⇒ $17\frac{1}{16} = 5\frac{1}{4} (x^2 + xy + y^2)$ ⇒ $\frac{273}{16} = \frac{21}{4} (x^2 + xy + y^2)$ ⇒ $x^2 +
Question : Directions: In the following question, some parts of the sentence may have 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".
Rahul was (1) / the richest of (2) / the two persons. (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 word ''richest'' should be replaced with ''richer'' to convey the intended meaning that of the two of them, Rahul had more wealth. The comparative degree is usually used when comparing between two traits. "The"
Question : Select the most appropriate meaning of the underlined word in the following sentence.
During the wedding ceremony, the bride seemed even quieter and more diffident than usual.
Option 1: Showing lack of interest.
Option 2: Bold in others' company.
Option 3: Giving a false or misleading impression.
Option 4: Shy due to lack of confidence.
Correct Answer: Shy due to lack of confidence.
Solution : The correct choice is the fourth option.
Shy due to lack of confidence: This accurately reflects the meaning of diffident. It describes someone who is hesitant or lacking in self-assurance, often appearing shy or reserved due to
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