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Question : In an equilateral triangle, the circumradius is 14 cm. What is the length of the median in this triangle?
Option 1: $14 \sqrt{3} \mathrm{~cm}$
Option 2: $21 \mathrm{~cm}$
Option 3: $18 \sqrt{3} \mathrm{~cm}$
Option 4: $7 \sqrt{3} \mathrm{~cm}$
Correct Answer: $21 \mathrm{~cm}$
Solution : Circumradius = 14 cm $a$ = side of equilateral triangle Circum-radius, r = $\frac{a}{\sqrt{3}}$ ⇒ $a = 14\sqrt{3}$ cm Now, Length of median = Height of equilateral triangle $ = \frac{\sqrt{3}a}{2}= \frac{(\sqrt{3} × 14\sqrt{3})}{2}$ = 21 cm Hence, the correct answer is $21 \mathrm{~cm}$.
Question : Directions: Select the correct mirror image of the given figure when the mirror AB is placed on the right side of the figure.
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 AB). So, the left side of the reflected image will appear
Question : Directions: Pointing towards a man, a lady said, "His brother is my mother's only daughter's husband's son's father". How is the man related to the lady's husband?
Option 1: Paternal uncle
Option 2: Brother
Option 3: Father
Option 4: Brother-in-law
Correct Answer: Brother
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, the man is the brother of the lady's husband. Hence, the second option is correct.
Question : The salaries of Kabir and Vicky are in the ratio 5 : 2. If the increments of 20% and 12% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Option 1: 25 : 73
Option 2: 81 : 28
Option 3: 75 : 28
Option 4: 91 : 25
Correct Answer: 75 : 28
Solution : Let the salaries of Kabir and Vicky as K and V, respectively. Given that the salaries of Kabir and Vicky are in the ratio 5 : 2. So, $\frac{K}{V} = \frac{5}{2}$ If increments of 20% and 12% are allowed in their salaries, then
Question : A boat goes 2 km upstream and 3 km downstream in 20 minutes. It goes 7 km upstream and 2 km downstream in 53 minutes. What is the speed (in km/hr) of the boat in still water?
Option 1: $\frac{75}{7}$
Option 2: $\frac{120}{7}$
Option 3: $\frac{135}{7}$
Option 4: $\frac{150}{7}$
Correct Answer: $\frac{135}{7}$
Solution : Let the upstream speed be $x$ km/hr and the downstream speed be $y$ km/hr. A boat goes 2 km upstream and 3 km downstream in 20 minutes. According to the question, $\frac{2}{x} + \frac{3}{y} = \frac{20}{60}$ ⇒ $\frac{120}{x} + \frac{180}{y} =20$ ⇒ $\frac{240}{x} + \frac{360}{y}
Question : Directions: Select the figure that will come next in the following figure series.
Solution : In the given figure, the triangle in each box is rotated 90º anti-clockwise. Thus, the missing part of the figure is –
Hence, the second option is correct.
Question : Convex mirror is generally used in _____.
Option 1: solar cookers
Option 2: opthamoscope
Option 3: reflector for head light
Option 4: rear view mirror
Correct Answer: rear view mirror
Solution : The correct option is rear view mirror.
Convex lenses are bent outward, which enables them to diverge light beams, which reduces the apparent size of things while enlarging the field of view. In a rearview mirror, this is especially helpful because it
Question : Which of the following countries contributes the maximum to the world's diamond supply?
Option 1: Russia
Option 2: U.S.A
Option 3: Japan
Option 4: South Africa
Correct Answer: Russia
Solution : The correct answer is Russia.
Russia is the leading producer and exporter of Diamonds in the world. It has the world's richest diamond reserves. Russia, Botswana, and Canada are the top 3 diamond-producing countries in the world. India is the 4th largest producer of
Question : Directions: In a certain code language, Live long is coded as mu ae, Road is long is coded as ae si du, and Game is live is coded as si mu zt. What is the code for the word Game?
Option 1: si
Option 2: mu
Option 3: zt
Option 4: ae
Correct Answer: zt
Solution : Given: 1. Live long⇒mu ae 2. Road is long⇒ae si du 3. Game is live⇒si mu zt
By comparing all the coded sentences, we find that – In sentences 1 and 2, long is a common word and ae is a common code. In sentences
Question : Directions: Arrange the following words as per order in the dictionary. 1. Centre 2. Center 3. Central 4. Centrum
Option 1: 2, 1, 3, 4
Option 2: 2, 3, 4, 1
Option 3: 3, 2, 1, 4
Option 4: 2, 3, 1, 4
Correct Answer: 2, 3, 1, 4
Solution : Given: 1. Centre 2. Center 3. Central 4. Centrum
Step 1: Compare the first letter of each word. Since all the words start with the same letter C, then move on to the next letter. Step 2: The second, third, and
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