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Question : In the following sentence, four words are underlined, out of which one word is incorrectly spelt. Identify the INCORRECTLY spelt word.
Seema was a timid girl. She did not talk to people who were not familiar to her. She was an introvert since adolosense.
Option 1: introvert
Option 2: timid
Option 3: adolosense
Option 4: familiar
Correct Answer: adolosense
Solution : The correct choice is the third option.
The correct spelling should be adolescence.
Adolescence is the period of life between childhood and adulthood, typically occurring during the teenage years. It is characterised by significant physical, psychological, and emotional changes.
The meanings of the other
Question : In which of the following parts of the Indian Constitution, Fundamental Rights are contained?
Option 1: Part III
Option 2: Part IV
Option 3: Part V
Option 4: Part II
Correct Answer: Part III
Solution : The correct option is Part III.
Part III of the Indian Constitution contains the list of fundamental rights. "Fundamental Rights", Part III of the Constitution, lists all of the essential rights that Indian people are entitled to. These rights are upholdable in court and
Question : If $x+y+z=0$, then what is the value of $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$?
Option 1: 1
Option 2: 0
Option 3: 2
Option 4: 3
Correct Answer: 3
Solution : Given: $x+y+z=0$ Cubing both sides, we get, $⇒(x+y+z)^3=0$ $⇒x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)=0$ $⇒x^3+y^3+z^3 = -3(x+y)(y+z)(z+x)$ ......(1) From the given equation ($x+y+z=0$), we can get, $x+y=-z,$ $y+z=-x$ and $z+x=-y$ Putting in (1), we get, $x^3+y^3+z^3 = -3(-z)(-x)(-y)=3xyz$ Consider, $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$ $=\frac{x^2(xz)(xy)+y^2(yz)(xy)+z^2(yz)(xz)}{(yz)(xz)(xy)}$
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: EILN
Option 2: AEHJ
Option 3: MOQX
Option 4: RVYA
Correct Answer: MOQX
Solution : Let's check the options – First option: EILN; E + 4 = I; I + 3 = L; L + 2 = N Second option: AEHJ; A + 4 = E; E + 3 = H; H + 2 = J Third option: MOQX; M
Question : The following pie chart gives the budget allocation for various sports mentioned. The numbers shown are percentages over 360 degrees. If the total amount for all the sports is INR 42,76,80,000 then the allocation for Hockey, Basketball, and Gymnastics together exceeds the amount allocated to Football, Kabaddi, and Golf together by:
Option 1: INR 9524000
Option 2: INR 7453000
Option 3: INR 29937600
Option 4: INR 8316000
Correct Answer: INR 29937600
Solution : The total amount for all the sports = INR 42,76,80,000 Percentage of allocation for Hockey, Basketball, and Gymnastics = 22% + 5% + 8% = 35% Percentage of allocation for Football, Kabaddi, and Golf = 13% + 10% + 5% = 28% So, the
Question : $\frac{(1+\sec \theta \operatorname{cosec} \theta)^2(\sec \theta-\tan \theta)^2(1+\sin \theta)}{(\sin \theta+\sec \theta)^2+(\cos \theta+\operatorname{cosec} \theta)^2}, 0^{\circ}<\theta<90^{\circ}$, is equal to:
Option 1: $1-\cos \theta$
Option 2: $1-\sin \theta$
Option 3: $\cos \theta$
Option 4: $\sin \theta$
Correct Answer: $1-\sin \theta$
Solution : $\frac{(1+\sec \theta \operatorname{cosec} \theta)^2(\sec \theta-\tan \theta)^2(1+\sin \theta)}{(\sin \theta+\sec \theta)^2+(\cos \theta+\operatorname{cosec} \theta)^2}$ Since $ 0^{\circ}<\theta<90^{\circ}$. $=\frac{(1+\frac{1}{\cos\theta.\sin\theta})^2(\frac{1}{cos\theta}-\frac{\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{(\sin\theta+\frac{1}{\cos\theta})^2+(\cos\theta+\frac{1}{\sin\theta})^2}$ $=\frac{(\frac{\cos\theta.\sin\theta+1}{\cos\theta.\sin\theta})^2(\frac{1-\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{(\frac{\sin\theta.\cos\theta+1}{\cos\theta})^2+(\frac{\cos\theta\sin\theta+1}{\sin\theta})^2}$ $=\frac{(\frac{1}{\cos\theta.\sin\theta})^2(\frac{1-\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{\frac{\sin^2\theta+\cos^2\theta}{\sin^2\theta.\cos^2\theta}}$ $=\frac{(1-\sin\theta)(1-\sin\theta)(1+\sin\theta)}{\cos^2\theta}$ $=\frac{(1-\sin\theta)(1-\sin^2\theta)}{\cos^2\theta}$ $=\frac{(1-\sin\theta)(\cos^2\theta)}{\cos^2\theta}$ $=1-\sin\theta$ Hence, the correct answer is $1-\sin \theta$.
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select ‘No improvement required’. He sounded like he were to going cry.
Option 1: No improvement required
Option 2: were going to
Option 3: going to
Option 4: was going to
Correct Answer: was going to
Solution : The fourth option is the correct answer.
When expressing the future action of an individual, it is common to use was going to or were going to depending on the subject. In the sentence, the past tense was should be used because the
Question : Directions: Arrange the following words as per order in the dictionary. 1. Nest 2. Neck 3. Neat 4. Near
Option 1: 4, 2, 3, 1
Option 2: 4, 2, 1, 3
Option 3: 4, 3, 2, 1
Option 4: 4, 1, 3, 2
Correct Answer: 4, 3, 2, 1
Solution : Given: 1. Nest 2. Neck 3. Neat 4. Near
Step 1: Compare the first and second letters of each word. Since all the words have the same letter N and e, so move on to the next letter. Step 2: The
Question : An observer on the top of a mountain, 500 m above sea level, observes the angles of depression of the two boats in his same place of vision to be 45° and 30°, respectively. Then the distance between the boats, if the boats are on the same side of the mountain, is:
Option 1: 456 m
Option 2: 584 m
Option 3: 366 m
Option 4: 699 m
Correct Answer: 366 m
Solution : Given: AB = Height of mountain = 500 m $\angle$ACB = 30°; $\angle$ADB = 45° C and D ⇒ Positions of boats Let CD = $x$ m Solution: From $\triangle$ABD, $\tan 45° = \frac{AB}{BD}$ ⇒ AB = BD ⇒ AB = BD = 500
Question : Select the option that can be used as a one-word substitute for the given group of words. Happening repeatedly
Option 1: Recuperate
Option 2: Recurrent
Option 3: Rapport
Option 4: Regression
Correct Answer: Recurrent
Solution : The correct choice is the second option.
Recurrent directly conveys the idea of something occurring repeatedly or happening again. It succinctly captures the essence of an event or phenomenon that takes place multiple times.
The meanings of the other options are as follows:
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