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Question : Directions: Which two signs and two numbers interchange (not digits) that will make the equation correct? 7 – 5 × 2 + 8 ÷ 4 = 17
Option 1: – and ÷, 8 and 5
Option 2: × and ÷, 5 and 4
Option 3: + and –, 4 and 5
Option 4: + and –, 7 and 5
Correct Answer: + and –, 7 and 5
Solution : Given: 7 – 5 × 2 + 8 ÷ 4 = 17
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation. Let's check the given options –
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. The image at the centre of the box rotates 90° in a clockwise direction. 2. All the elements (+, =, *, and triangle) move one position in an anticlockwise direction corner by corner. So, following the above pattern,
Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 27, 38, ?, 68, 87, 110
Option 1: 47
Option 2: 50
Option 3: 51
Option 4: 53
Correct Answer: 51
Solution : Given: 27, 38, ?, 68, 87, 110
Add consecutive prime numbers (starting from 11) to each number in the given series to get the next number of the series. 27 + 11 = 38; 38 + 13 = 51; 51 + 17 = 68; 68
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. LMA, NOB, PQC, ?, TUE
Option 1: TUV
Option 2: RSD
Option 3: DOA
Option 4: BRD
Correct Answer: RSD
Solution : Given: LMA, NOB, PQC, ?, TUE
In the given series, add 2 to the place value of the first and second letters and add 1 to the place value of the third letter of the previous term to obtain the next term – LMA→L +
Question : Which nation is Mongia Port situated in ?
Option 1: Sri Lanka
Option 2: Bangladesh
Option 3: Bhutan
Option 4: India
Correct Answer: Bangladesh
Solution : The correct answer is Bangladesh.
Mongia port is a sea port in the Bangladesh and it is the second busiest port of Bangladesh after Chattogram port. It is located on the shores of Bay of Bengal in the Bagerhat district, Khulna Division of Bangladesh. It
Question : Directions: Which of the option figures is the exact mirror image of the given problem figure when the mirror is held on the right side of the problem figure?
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure. So, the left side of the reflected image will appear as the right
Question : The area of two similar triangles is 324 cm2 and 289 cm2, respectively. What is the ratio of their corresponding altitudes?
Option 1: $\frac{17}{18}$
Option 2: $\frac{17}{19}$
Option 3: $\frac{19}{17}$
Option 4: $\frac{18}{17}$
Correct Answer: $\frac{18}{17}$
Solution : The ratio of their altitudes will be equal to the ratio of the square roots of their area. $\frac{A{_1}}{A{_2}} = \frac{h{_1}^2}{h{_2}^2}$ ⇒ $\frac{324}{289} = \frac{h{_1}^2}{h{_2}^2}$ ⇒ $\frac{h{_1}}{h{_2}}=\sqrt\frac{324}{289}$ ⇒ $\frac{h{_1}}{h{_2}} = \frac{18}{17}$ Hence, the correct answer is $\frac{18}{17}$.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side.
Solution : As per the mirror image properties, closer things appear close 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 : Find the value of the given expression. $\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$
Option 1: $\frac{2}{3}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{\sqrt{2}}{3}$
Option 4: $\frac{3}{\sqrt{2}}$
Correct Answer: $\frac{2}{3}$
Solution : Given: $\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$ $=\frac{4}{3} \times 1 +3 ( \frac{\sqrt3}{2})^2-2 (\frac{2}{\sqrt3})^2-\frac{3}{4} (\frac{1}{\sqrt3})^2$ $= \frac{4}{3} \times 1^2 +\frac{9}4-\frac{8}3-\frac{3}{4}\times \frac{1}3$ $= \frac{4}3+\frac{9}4-\frac{8}3-\frac{1}4$ $= \frac{16+27-32-3}{12}$ $= \frac{2}3$ Hence, the correct answer is $\frac{2}3$.
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