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Question : Directions: In the following question, select the odd letter from the given alternatives.
Option 1: DU
Option 2: KP
Option 3: JQ
Option 4: GT
Correct Answer: DU
Solution : Let's check the options – First option: DU; D and U are not opposites in the English alphabetical series. Second option: KP; K and P are opposites in the English alphabetical series. Third option: JQ; J and Q are opposites in the English alphabetical series.
Question :
Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
We should first collect the funds and then _____ action.
Option 1: plunge into
Option 2: plunge onto
Option 3: plunge at
Option 4: plunge in
Correct Answer: plunge into
Solution : The correct choice is the first option.
Explanation:
"Plunge into action" is an idiomatic expression that means to begin or start something energetically or with enthusiasm after preparation or deliberation.
So, the sentence would be: "We should first collect the funds and then plunge
Question : Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of $108^{\circ}$. [Use $\pi=\frac{22}{7}$]
Option 1: 6.6 cm
Option 2: 5.6 cm
Option 3: 13.2 cm
Option 4: 11.2 cm
Correct Answer: 6.6 cm
Solution : Diameter of circle = 7 cm So, radius, $r$ = 3.5 cm Angle subtended by arc, $\theta$ = 180° We know, length of arc of a circle = $\frac{\theta}{360°}\times 2\pi r$ = $\frac{108°}{360°}\times 2\pi ×\frac{7}2 = 6.6$ cm Hence, the correct answer is 6.6
Question : Directions: Select the letter cluster that will replace the question mark (?) in the following series. GMDR, EOBT, CQZV, ?, YUVZ
Option 1: ASXX
Option 2: BSYX
Option 3: ASXY
Option 4: BSXY
Correct Answer: ASXX
Solution : Given: GMDR, EOBT, CQZV, ?, YUVZ
Subtract 2 from the first and the third letters and add 2 to the second and fourth letters of the previous term to obtain the next term in the series – GMDR→G – 2 = E; M + 2
Question : If $a+b+c=0$, then the value of $\frac{a^{2}+b^{2}+c^{2}}{ab+bc+ca}$ is:
Option 1: 2
Option 2: –2
Option 3: 0
Option 4: 4
Correct Answer: –2
Solution : Given: $a+b+c=0$ We know that $(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$ Putting the value of $a+b+c=0$, we have, ⇒ $(0)^{2}=a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$ ⇒ $a^{2}+b^{2}+c^{2}=–2(ab+bc+ca)$ ⇒ $\frac{(a^{2}+b^{2}+c^{2})}{(ab+bc+ca)}=–2$ Hence, the correct answer is –2.
Question : The bar graph shows the marks of a student in different subjects out of 100. His marks in physics are what percentage more than that in mathematics?
Option 1: 44%
Option 2: 35%
Option 3: 33%
Option 4: 28%
Correct Answer: 35%
Solution : Marks in physics = 54 Marks in mathematics = 40 Required percentage = $\frac{\text{Marks in physics - Marks in mathematics}}{\text{Marks in mathematics}}\times100$ = $\frac{54-40}{40}\times100$ = $\frac{14}{40}\times100$ = 35% Hence, the correct answer is 35%.
Question : The average of 16 numbers is 35. It was found later that four numbers 18, 17, 24, and 35 were taken by mistake. What is the new average after removing these numbers?
Option 1: 38.83
Option 2: 42.33
Option 3: 46.66
Option 4: 33.33
Correct Answer: 38.83
Solution : Given that the average of 16 numbers is 35, we can calculate the sum of those 16 numbers as follows: Sum = Average × Count ⇒ Sum = 35 × 16 = 560 So, Adjusted Sum = Sum – Sum of Mistaken Numbers ⇒ Adjusted
Question : Directions: A person starts delivering letters 3 km southwards and then turns right. He covers 4 km on this road and again turns right. He delivers letters for 3 km and completes his daily beat. Then he turns left for lunch at home which is 5 km away. How far does he have to travel to reach the post office after lunch?
Option 1: 15 km
Option 2: 10 km
Option 3: 9 km
Option 4: 8 km
Correct Answer: 9 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the distance the person has to travel to reach the post office after lunch.
In the figure, A is the starting point and E is the finishing
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. I can be represented by 12, 44, etc, and D can be represented by 75, 97, etc. Similarly, you have to identify the set for the word CHEAT.
Option 1: 10, 21, 68, 77, 56
Option 2: 34, 43, 95, 85, 96
Option 3: 41, 14, 76, 99, 79
Option 4: 22, 00, 87, 67, 67
Correct Answer: 41, 14, 76, 99, 79
Solution : Given: CHEAT
Number representations of each letter – C→03, 10, 22, 34, 41 H→00, 14, 21, 32, 43 E→59, 68, 76, 87, 95 A→58, 66, 77, 85, 99 T→55, 67, 79, 86, 98
First option: 10, 21, 68, 77, 56; T
Question : Identify the segment in the sentence which contains the grammatical error. If I want to gave you some advice, would you be interested?
Option 1: gave you some advice,
Option 2: be interested?
Option 3: If I want to
Option 4: would you
Correct Answer: gave you some advice,
Solution : The error lies in the first option.
The verb "gave" is incorrect in this context. The correct form should be "give" because it needs to match the infinitive "to" in the sentence. When the infinitive "to" is used, it
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