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Question : Directions: In the given question, select the related letter cluster from the given alternatives. BDAC : FHEG :: NPMO : ?
Option 1: RTQS
Option 2: QTRS
Option 3: RQTS
Option 4: SQRT
Correct Answer: RTQS
Solution : Given: BDAC : FHEG :: NPMO : ?
Add 4 to the place value of each letter of BDAC to obtain the required code – B + 4 = F; D + 4 = H; A + 4 = E; C + 4 = G
Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
Question : What is the average of the natural numbers from 1 to 43?
Option 1: 32
Option 2: 22
Option 3: 44
Option 4: 43
Correct Answer: 22
Solution : Average of first $n$ natural numbers = $\frac{n+1}{2}$ So, required average = $\frac{1 + 43}{2}$ = 22 Hence, the correct answer is 22.
Question : Which of the following pairs of 'number – composition' is correct?
I. Atomic number – number of protons II. Mass number – Sum of number of neutrons and protons
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
The atomic number of an element is equal to the number of protons in its nucleus. It uniquely identifies an element.
Thus, the atomic number-number of protons statement is correct.
The mass number of
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.
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.
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