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Question : Two concentric circles are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle?
Option 1: 5 cm
Option 2: 8 cm
Option 3: 10 cm
Option 4: 25 cm
Correct Answer: 10 cm
Solution : OE = 12 cm OC = OD = 13 cm We know that the tangent is perpendicular to the radius at its point of contact. OE $\perp$ CD Using Pythagoras theorem in $\triangle$ EOC, CE2 = OC2 – OE2 ⇒ CE
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 - operations on 13 such as adding/subtracting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (2, 6, 8) (117, 351, 468)
Option 1: (6, 19, 25)
Option 2: (4, 12, 16)
Option 3: (5, 12, 25)
Option 4: (7, 14, 23)
Correct Answer: (4, 12, 16)
Solution : Given: (2, 6, 8); (117, 351, 468)
In the given set of numbers, multiply the first number by three to obtain the second number and multiply the first number by four to obtain the third number. (2, 6, 8)→2 × 3 = 6;
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.
Anthony Abraham, a 34-year-old crane driver, (1) ______ managed to get out of the way of falling steel. Turning around, he could hardly believe the (2) ______ scene that lay before him. Girders were (3) _____ on top of the crane in a haphazard fashion, like gigantic pick-up sticks. All he could see of the machine was its rear wheels and a section of what had been the cab. Abraham (4) ______ to the cab, shouting his friend George Burns' name. By then, three other ironworkers had reached the (5) ______ of the carnage. One of them yelled, 'George, can you hear me?' Over the din of the diesel engine, a strained voice responded.
Question:
Select the most appropriate option to fill in the blank number 5.
Option 1: sign
Option 2: trace
Option 3: scene
Option 4: sight
Correct Answer: scene
Solution : The correct choice is the third option.
A scene is a place where an incident occurs or has occurred. This helps convey that the three ironworkers reached the site of the incident.
Therefore, the complete sentence is: "By then, three other ironworkers had reached
Question : Iron, iodine, and zinc can be considered as which of the following?
Option 1: Macronutrients
Option 2: Micronutrients
Option 3: Steroid hormone inducer
Option 4: Non-essential nutrients
Correct Answer: Micronutrients
Solution : The correct answer is Micronutrients.
Micronutrients are the trace amounts of vitamins and minerals that the body needs. However, they have a vital influence on the body's functioning, and deficiencies in any one of them can result in serious, even fatal, illnesses. Even though they
Question : Directions: Select the option that is related to the sixth letter cluster in the same way as the first letter cluster is related to the second letter cluster and the third letter cluster is related to the fourth letter cluster. EKH : BIE :: MGP : JEM :: ? : QDI
Option 1: SFK
Option 2: LFT
Option 3: TGL
Option 4: TFL
Correct Answer: TFL
Solution : Given: EKH : BIE :: MGP : JEM :: ? : QDI
Subtract 3 and 2 alternatively from the place values of the letters of EKH and MGP to get the required codes. EKH→E – 3 = B; K – 2 = I; H –
Question : The height and curved surface area of the cylinder are 15cm and 330 cm2. Find the diameter of the cylinder.
Option 1: 2 cm
Option 2: 5 cm
Option 3: 7 cm
Option 4: 6 cm
Correct Answer: 7 cm
Solution : Given, Height = 15 cm Curved surface area = 330 cm2 We know, The curved surface area of the cylinder = $\pi dh$, where $d$ = diameter and $h$ is the height. ⇒ $330=\pi\times d\times 15$ ⇒ $330=\frac{22}{7}\times d\times15$ ⇒ $d=\frac{330\times7}{22\times15}$ ⇒ $d=7$
Question : Directions: Select the triad from the below options that have the same analogy as the following triads. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 425 : 85 : 423 315 : 63 : 313
Option 1: 235 : 47 : 233
Option 2: 326 : 48 : 684
Option 3: 152 : 89 : 684
Option 4: 548 : 62 : 63
Correct Answer: 235 : 47 : 233
Solution : Given: (425 : 85 : 423); (315 : 63 : 313)
Here, (425 : 85 : 423)→425 ÷ 5 = 85; 425 – 2 = 423 (315 : 63 : 313)→315 ÷ 5 = 63; 315 – 2 = 313
Let's
Question : Subhas, a 3.15 m tall tree, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Subhas and the building. The tree is located at a distance of 7.5 m from Subhas and a distance of 45 m from the building. Further, the eyes of Subhas, the top of the tree, and the top of the building fall in one line. Find the height (in m ) from the ground at which Subhas's eyes are situated.
Option 1: 1.75
Option 2: 1.8
Option 3: 1.6
Option 4: 1.5
Correct Answer: 1.8
Solution : Let XA be Subhas, YB be the tree, and ZC be the building. YB = 3.15 m ZC = 11.25 m AB = 7.5 m BC = 45 m XO = AB = 7.5 m OP = BC = 45 m ⇒ XP = XO
Question : Which of the following combinations is not correct?
Option 1: Wular Lake – Kashmir
Option 2: Vembanad Lake – Maharashtra
Option 3: Chilika Lake – Odisha
Option 4: Naini Lake – Uttarakhand
Correct Answer: Vembanad Lake – Maharashtra
Solution : The correct option is Vembanad Lake – Maharashtra.
Vembanad is a prominent lake in the southern Indian state of Kerala, not Maharashtra. The lake is situated in Alappuzha, Kottayam, and Ernakulam and spans several towns and villages along its shores.
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."
Every day we hear about (1) / senior citizens being robbed (2) / and even kill in cold blood (3) / No Error (4).
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
Here, ''kill'' should be replaced with ''killed'' as per parallelism with respect to passive voice, to be parallel to the verb "robbed".
Therefore, the correct sentence is "Every day we hear about senior
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