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Question : Two chords $\mathrm{AB}$ and $\mathrm{CD}$ of a circle with centre $\mathrm{O}$, intersect each other at $\mathrm{P}$. If $\angle\mathrm{ AOD}=100^{\circ}$ and $\angle \mathrm{BOC}=70^{\circ}$, then the value of $\angle \mathrm{APC}$ is:
Option 1: $80^{\circ}$
Option 2: $75^{\circ}$
Option 3: $85^{\circ}$
Option 4: $95^{\circ}$
Correct Answer: $95^{\circ}$
Solution :
In the given problem, $\angle \mathrm{AOD}$ and $\angle \mathrm{BOC}$ are angles subtended by the chords $\mathrm{AB}$ and $\mathrm{CD}$ at the centre of the circle. The angle subtended by a chord at the centre is twice the angle subtended by it at any point on the
Question : If $\tan A=\frac{2}{3}$, then find $\sin A$.
Option 1: $\frac{1}{3}$
Option 2: $\frac{2}{\sqrt{13}}$
Option 3: $\frac{2}{3}$
Option 4: $\frac{3}{\sqrt{13}}$
Correct Answer: $\frac{2}{\sqrt{13}}$
Solution : Given, $\tan A=\frac{2}{3}$ Let perpendicular and base be 2 and 3 units. Now, the hypotenuse $= \sqrt{2^2+3^2} = \sqrt{13}$ units So, $\sin A = \frac{\text{perpendicular}}{\text{hypotenuse}}=\frac{2}{\sqrt{13}}$ Hence, the correct answer is $\frac{2}{\sqrt{13}}$.
Question : Directions: 6 boys, J, K, L, M, N, and P, are sitting around a rectangular table facing towards the centre (not necessarily in the same order). 4 boys are sitting in the corners, and 1 boy is sitting in the middle of each shorter side of the table. N is second to the right of K and second to the left of J. M is exactly opposite to N, and M is not sitting in the corner. Which of the following statements is definitely correct? I. L and P are both next to N. II. K is diagonally opposite to L.
Option 1: Only II is correct
Option 2: Neither I nor II is correct
Option 3: Both I and II are correct
Option 4: Only I is correct
Correct Answer: Only I is correct
Solution : Given: (I) N is second to the right of K and second to the left of J. M is exactly opposite to N, and M is not sitting in the corner. According to the given statements – I. L and P are
Question : Directions: Choose the correct figure to complete the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows – 1. In the first row number of triangles increases by one. 2. In the second row number of squares increases by one. 3. In the third row number of circles increases by one. So, the figure in the third
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 119
Option 2: 85
Option 3: 51
Option 4: 154
Correct Answer: 154
Solution : Let's check the options – First option: 119; 119 ÷ 17 = 7 Second option: 85; 85 ÷ 17 = 5 Third option: 51; 51 ÷ 17 = 3 Fourth option: 154; 154 is not divisible by 17
So, only the fourth option is different
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The (needs) of the hour was to reform the entire banking system.
(1) need
(2) needing
(3) needings
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The first option is the correct choice.
Explanation: The phrase "needs of the hour" should be replaced with "need of the hour", which is the right form of the idiom, meaning the most important thing at a particular interval, thereby indicating that there was
Question : Which of the following Indian states receive rainfall during October and November due to the northeast monsoon?
Option 1: Uttar Pradesh
Option 2: Maharashtra
Option 3: Madhya Pradesh
Option 4: Tamil Nadu
Correct Answer: Tamil Nadu
Solution : The correct answer is Tamil Nadu.
The northeast monsoon, which is also known as the retreating monsoon, brings rain to these regions (Tamil Nadu, Puducherry) after the southwest monsoon season ends. The southwest monsoon brings rain to most parts of the country. Tamil
Question : Who is hailed in India as the Mozart of the Madras?
Option 1: Udit Narayan
Option 2: S. P. Balasubrahmanyam
Option 3: Arijit Singh
Option 4: A. R. Rahman
Correct Answer: A. R. Rahman
Solution : The correct option is A. R. Rahman.
The well-known Indian composer and musician A. R. Rahman is frequently referred to as the " Mozart of the Madras;. A. R. Rahman, is regarded as one of the most well-known and significant composers of music
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Solution : According to the given figure series – 1. As we move from one box to another, the number of petals increases by 1. 2. The image at the centre of the box is being rotated 45° in an anticlockwise direction. So, following the above pattern, the
Question : Directions: One morning, Dhvani and Preet were sitting in a park facing each other. If Preet's shadow fell to the left of Dhvani, then in which direction was Dhvani facing?
Option 1: North
Option 2: West
Option 3: East
Option 4: South
Correct Answer: North
Solution : According to the instructions the diagram is given below –
As the sun rises in the East in the morning, the shadow will be formed in the opposite direction of the sun. Here, the shadow is formed to the right of Preet, so the left
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