Question : Given that A and B are second quadrant angles, $\sin A = \frac{1}{3}$ and $\sin B = \frac{1}{5}$, then find the value of $\cos(A-B)$.

Option 1: $\frac{4 \sqrt{3}+1}{15}$

Option 2: $\frac{8 \sqrt{3}-1}{15}$

Option 3: $\frac{8 \sqrt{3}+1}{15}$

Option 4: $\frac{4 \sqrt{3}-1}{15}$

Question : Comprehension:
Read the given passage and answer the questions that follow.

While there is no denying that the world loves a winner, it is important that you recognise the signs of stress in your behaviour and be healthy enough to enjoy your success. Stress can strike anytime, in a fashion that may leave you unaware of its presence in your life. While a certain amount of pressure is necessary for performance, it is important to be able to recognise your individual limits. For instance, there are some individuals who accept competition in a healthy fashion. There are others who collapse into weeping wrecks before an exam or on comparing mark sheets and finding that their friend has scored better. Stress is a body's reaction to any demands or changes in its internal and external environment. Whenever there is a change in the external environment, such as temperature, pollutants, humidity, or working conditions, it leads to stress. In these days of competition, when a person makes up his mind to surpass what has been achieved by others, leading to an imbalance between demands and resources, it causes psycho-social stress. It is part and parcel of everyday life.
Stress has a different meaning depending on the stage of life you are in. The loss of a toy or a reprimand from the parents might create a stress shock in a child. An adolescent who fails the examination may feel as if everything has been lost and life has no further meaning. As an adult, the loss of his or her companion, job, or professional failure may appear as if there is nothing more to be achieved.

Such signs appear in the attitude and behaviour of the individual, such as muscle tension in various parts of the body, palpitation and high blood pressure, indigestion, and hyperacidity. Ultimately, the result is self-destructive behaviour such as eating and drinking too much, smoking excessively, and relying on tranquilisers. There are other signs of stress, such as trembling, shaking, nervous blinking, dryness of the throat and mouth, and difficulty swallowing. The professional under stress behaves as if he is a perfectionist. It leads to depression, lethargy, and weakness. Periodic mood shifts also indicate the stress status of students, executives, and professionals.

Question:

What is the tone of the passage?

Option 1: Authoritative

Option 2: Anxious

Option 3: Informative

Option 4: Dejected

Question : Directions: If A denotes +, B denotes ×, C denotes −, and D denotes ÷, then what will be the value of the following expression?
23 C 46 D 23 B 3 A 65 = ?

Option 1: 82

Option 2: 87

Option 3: 84

Option 4: 85

Question : Study the given table and answer the question that follows.
The table shows the number of students studying in six different classes at six different schools.

The number of students studying in class VII from school U is what percentage of the total number of students from all the classes together from that school (rounded off to 2 digits after decimal)?

Option 1: 16.48%

Option 2: 18.25%

Option 3: 15.63%

Option 4: 17.36%

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
The lease of our house has run down.

Option 1: run into

Option 2: run apart

Option 3: run out

Option 4: run up to

Question : Select the option that can be used as a one-word substitute for the given group of words.
One who settles in another country

Option 1: Resident

Option 2: Immigrant

Option 3: Traveller

Option 4: Refugee

Question : Who was the founder of Arya Samaj?

Option 1: Mula Shankar 

Option 2: Bal Gangadhar Tilak

Option 3: Swami Dayananda Saraswati 

Option 4: Rabindranath Tagore 

Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
When I left my house this morning, it was raining.

Option 1: rained

Option 2: is raining

Option 3: rains

Option 4: No substitution required

Question : Comprehension:
Read the passage carefully and answer the question that follows.
Humans are social animals by nature. To prosper in life, we require the company of others, and the strength of our bonds has a significant influence on our mental health and happiness. Being socially linked to people may help you cope with stress, worry and depression, increase your self-esteem, bring comfort and joy, prevent loneliness, and even add years to your life. On the other hand, a lack of strong social relationships might put your mental and emotional health in danger. Many of us use social media sites like Facebook, Twitter, Snapchat, YouTube and Instagram to locate and communicate with one another in today's society. While each has its own set of advantages, it's vital to realise that social media will never be a substitute for genuine human interaction. In order to trigger the hormones that relieve stress and make you feel happier, healthier, and more optimistic, you must interact with individuals in person. Spending too much time on social media, ironically for a tool supposed to bring people closer together, can instead make you feel more lonely and isolated, and aggravate mental health issues like anxiety and depression. If you're spending too much time on social media and are experiencing emotions of unhappiness, discontent, irritation or loneliness, it's time to re-evaluate your online habits and establish a healthier balance.
Because social media is such a new technology, little study has been done to determine the long-term effects, good or ill, of its use. Multiple studies, however, have linked extensive social media use to an increased risk of melancholy, anxiety, loneliness, self-harm and even suicide ideation. The purpose of social media sites is to capture your interest, keep you online, and keep you checking your screen for updates. It's how businesses generate money. However, much like a gambling addiction or a nicotine, alcohol, or drug addiction, social media use may lead to psychological cravings. When you get a like, a share, or a positive reaction to a post, your brain releases dopamine, the same 'reward' chemical that you get after winning at a slot machine, eating chocolate, or smoking a cigarette, for example. The more you're rewarded, the more time you want to spend on social media, even if it has negative consequences in other areas of your life.

Question:
Which of the following statements is NOT true?

Option 1: Social media can offer a substitute for real-life social interaction.

Option 2: Lack of social interaction may cause anxiety and depression.

Option 3: Social bonds have a strong influence on our mental health.

Option 4: Humans need to reassess their social media usage.

Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
54 * 6 * 72 * 8 * 3 * 15

Option 1: ÷, +, ÷, −, =

Option 2: ÷, −, −, +, =

Option 3: +, ÷, ×, +, =

Option 4: ×, −, −, +, =