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Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: acDD
Option 2: egHH
Option 3: ikLL
Option 4: QSTt
Correct Answer: QSTt
Solution : Let's check the options – First option: acDD; The first two letters are in lowercase and the last two letters are in uppercase. Second option: egHH; The first two letters are in lowercase and the last two letters are in uppercase. Third option: ikLL; The
Question :
Triangle ABC is circumscribed around circle D. Segments AQ, BR, and SC measure 13,10.5, and 6 cm, respectively. The perimeter of triangle ABC is:
Option 1: 29.5 cm
Option 2: 59 cm
Option 3: 108 cm
Option 4: 15 cm
Correct Answer: 59 cm
Solution : Given: Triangle ABC is circumscribed around circle D Segments AQ = 13 cm BR = 10.5 cm SC = 6 cm $\because$ The tangents drawn from an external point to the circle are equal in length, AQ = AS = 13 cm BR =
Question : If the triangles ABC and PQR are similar and if $\angle A=35°, \angle B=65°$ then $\angle R=$?
Option 1: 80°
Option 2: 90°
Option 3: 35°
Option 4: 65°
Correct Answer: 80°
Solution : $\triangle ABC \sim \triangle PQR$ ⇒ $\angle C=\angle R$ In $\triangle ABC,$ $\angle A + \angle B + \angle C = 180°$ ⇒ $35°+65°+\angle C = 180°$ ⇒ $\angle C = 180° - 100°$ ⇒ $\angle C = 80°$ ⇒ $\angle R = 80°$ Hence,
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. AN, ET, IZ, MF, ?
Option 1: AL
Option 2: QL
Option 3: AM
Option 4: QM
Correct Answer: QL
Solution : Given: AN, ET, IZ, MF, ?
Add 4 and 6 to the positional values of the first and second letters of each term to get the next term of the series – First letter of the series→A + 4 = E; E + 4 =
Question : Study the given table and answer the question that follows. The table shows the classification of 100 students based on the marks obtained by them in history and geography in an examination.
Based on the table, what is the number of students scoring less than 20% marks in aggregate?
Option 1: 13
Option 2: 11
Option 3: 10
Option 4: 12
Correct Answer: 13
Solution : Given that 20% of 50 marks = 0.2 × 50 = 10 marks The number of students scoring less than 20% marks in aggregate = The number of students scoring 0 and above marks in aggregate – The number of students scoring 10 and above
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The main purpose of the visit (1) / is to develop a close relationship (2) / among the two countries. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error in the sentence is in part (3).
It should be "between the two countries" to indicate the relationship between two specific countries. Additionally, it's important to use the article "the" before "two countries" for correct grammar.
Question : The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.
Option 1: 3 km/h
Option 2: 8 km/h
Option 3: 7 km/h
Option 4: 4 km/h
Correct Answer: 3 km/h
Solution : Given, The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours. We know, Distance = speed × time Let the speed of the stream be $x$ and the speed of the
Question : If $x^2+\frac{1}{x^2}=4$, then what is the value of $x^4+\frac{1}{x^4}$?
Option 1: 16
Option 2: 14
Option 3: 12
Option 4: 20
Correct Answer: 14
Solution : Given that $x^2+\frac{1}{x^2}=4$, Squaring both sides, we get, $⇒(x^2+\frac{1}{x^2})^2 = 4^2$ $⇒x^4 + 2 + \frac{1}{x^4} = 16$ $⇒x^4 + \frac{1}{x^4} = 16 - 2 = 14$ Hence, the correct answer is 14.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Any (1) _____ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The Earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be (2) ____ into space. There are currently a number of artificial satellites launched into space by various nations. These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth, and learn more about the world in which we live. How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed towards the Earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to (3) ______ towards the earth while still hovering over its surface. earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can (4) _____ waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to another using broadcast satellites, and scientists can (5) ______ scientific data from numerous satellites. Select the most appropriate option to fill in the blank no. 3.
Option 1: migrate
Option 2: move
Option 3: stir
Option 4: jump
Correct Answer: move
Solution : The second option is the correct choice.
Move means to change one's location or position. Thus, it is the most appropriate choice in this context.
The meanings of the other options are as follows:
Question : Directions: Select the option that represents the letters that, when placed from left to right in the following blanks, will complete the letter series. MNB_CM_ _WCMNB_ _M_ _YC
Option 1: VNBXCNB
Option 2: VNBYDNB
Option 3: WYYYCNB
Option 4: WNBYDNB
Correct Answer: VNBXCNB
Solution : Given: MNB_CM_ _WCMNB_ _M_ _YC
To fill the series we have to divide the series – MNB_C / M_ _WC / MNB_ _ / M_ _YC
Let's check each option – First option: VNBXCNB; MNBVC / MNBWC / MNBXC /
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