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Question : Directions: Select the number pair in which the two numbers are related in the same way as the two numbers of the following number pair. 7 : 198
Option 1: 9 : 162
Option 2: 5 : 240
Option 3: 6 : 72
Option 4: 8 : 228
Correct Answer: 8 : 228
Solution : Given: 7 : 198
Find the square of the first number and then multiply by 2 then add 100 to the resultant number to obtain the second number in the given set of numbers – 7 : 198→((7)2 × 2) + 100
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Teenage is a (1)______ of life that everyone goes through between childhood and adulthood. During this time, teenagers go through many changes, both physically and emotionally. They may experience mood swings, have difficulty expressing their feelings, and sometimes (2)_______ impulsively. Teenagers are also trying to figure out their place in the world and may face pressure from peers, parents, and society to (3)_______ to certain expectations. It is important for teenagers to have a support system that allows them to explore their interests, develop their own identities, and make healthy choices. Despite the challenges that come with being a teenager, it can also be an exciting and transformative time. Teenagers have the (4)_______ to learn new skills, make lifelong friends, and explore new experiences that can shape their future. It is important for parents, educators, and other adults to provide teenagers with guidance, support, and resources that can help them (5)______ the challenges of adolescence.
Select the most appropriate option to fill in the blank No. 2.
Option 1: pretend
Option 2: run
Option 3: play
Option 4: act
Correct Answer: act
Solution : The correct choice is the fourth option.
In this context, act impulsively indicates that teenagers may engage in actions without much thought or consideration, acting on their impulses. The word act fits well in conveying this sense of behaviour during the teenage years.
Question : If Mauj cycled at 12 kmph instead of 10 kmph, he would have cycled 15 km more. What is the actual distance cycled by him?
Option 1: 105 km
Option 2: 150 km
Option 3: 75 km
Option 4: 120 km
Correct Answer: 75 km
Solution : Let the actual distance travelled by him be $x$. According to the question, $\frac{x}{10}=\frac{x+15}{12}$ $⇒12x=10x+150$ $\therefore x=75$ Hence, the correct answer is 75 km.
Question : The speed of two railway engines is in the ratio 5 : 4. If they move on parallel tracks in the same direction and if the slower engine is ahead of the faster engine by 8 km when the latter starts, then how far will the faster engine have to travel before it overtakes the slower one?
Option 1: 32
Option 2: 48
Option 3: 40
Option 4: 36
Correct Answer: 40
Solution : Given: The speed of two railway engines is in the ratio 5 : 4. Let the speed of the faster engine, $S_1=5$ km/hr and the speed of the slower engine, $S_2=4$ km/hr Relative speed = $5-4=1$ Distance between two engines = 8 km Now, Required
Question : The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories is 1400. The production of a particular factory is shown as a percent of the total production of all these 6 factories. Which of the following statements is correct? I. The central angle formed by sectors A and C together is 156.6°. II. The central angle formed by sectors B, D, and F together is 180°.
Option 1: Neither I nor II
Option 2: Only I
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only II
Solution : According to the question The central angle formed by sectors A and C together: ⇒ Total central angle for A and C = $\frac{16+30}{100}\times 360°$= 165.6° ⇒ So, statement I is incorrect. The central angle formed by sectors B, D, and F = $\frac{24
Question : Identify the correct statement concerning unsaturated hydrocarbons.
Option 1: Compounds of carbon having a single bond between their carbon atoms are called unsaturated compounds.
Option 2: Compounds of carbon having double bonds or triple bonds between their carbon atoms are called unsaturated compounds.
Option 3: Compounds of carbon having single bonds between their oxygen atoms are called unsaturated compounds.
Option 4: Compounds of carbon having double or triple bonds between their hydrogen atoms are called unsaturated compounds.
Correct Answer: Compounds of carbon having double bonds or triple bonds between their carbon atoms are called unsaturated compounds.
Solution : The correct answer is Compounds of carbon having double bonds or triple bonds between their carbon atoms are called unsaturated compounds.
Unsaturated hydrocarbons are hydrocarbons (compounds consisting of hydrogen
Question : Directions: Which of the given options would be a logical sequence of the following words? 1. Punjab 2. Amritsar 3. World 4. India 5. Asia 6. Golden Temple
Option 1: 2, 1, 4, 5, 3, 6
Option 2: 6, 2, 1, 4, 5, 3
Option 3: 3, 1, 5, 2, 4, 6
Option 4: 6, 2, 1, 5, 3, 4
Correct Answer: 6, 2, 1, 4, 5, 3
Solution : Given: 1. Punjab 2. Amritsar 3. World 4. India 5. Asia 6. Golden Temple
The arrangement is according to their locations where the given terms are situated is as follows Golden Temple is in Amritsar, Amritsar is in Punjab, Punjab
Question : Which of the following clothes will readily catch fire?
Option 1: Cotton cloth
Option 2: Polyester cloth
Option 3: Acrylic cloth
Option 4: Nylon cloth
Correct Answer: Cotton cloth
Solution : The correct option is Cotton cloth.
Natural cellulose fibres, mostly made of polymer cellulose, are used to make very flammable cotton textiles. Cotton fibres, which contain cellulose, are easily ignited and burn quickly when exposed to heat or an open flame.
Question : What is popular sovereignty
Option 1: Sovereignty of peoples representative
Option 2: sovereignty of the legal head
Option 3: sovereignty of the head of state
Option 4: sovereignty of the people
Correct Answer: sovereignty of the people
Solution : Correct Answer is sovereignty of the people
Popular sovereignty is a form of democratic government. The people, who have sovereignty or supreme power, are expected to be served by the government that they freely choose. The people are the government's source of
Question : If Anju is 30% more efficient than Bittu, then how much time will they take, working together, to complete a job which Anju alone could have done in 23 days?
Option 1: $13$ days
Option 2: $20 \frac{3}{17}$ days
Option 3: $15$ days
Option 4: $11$ days
Correct Answer: $13$ days
Solution : Given, Anju is 30% more efficient than Bittu. Time taken by Anju to complete the work alone = 23 days Let the efficiency of Bittu be 100. Efficiency of Anju = 100 + 30 = 130 Total work = 130 × 23 = 2990
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