GIVEN :

Four times the first number is 10 more than thrice the second number.

CALCULATION :

Suppose the numbers are ‘a’ and ‘a + 1’.

According to the question :

4a = 3 × (a + 1) + 10

⇒ a = 13

Hence, the numbers are 13 and 14.

∴ Product = 13 × 14 = 182

Given:

The average of a group of 20 numbers is 30

The average of another group of 30 numbers is 50.

Formula Used:

Average = Sum of all observation/Number of observation

Calculation:

Let's assume the sum of the numbers in the first group as S1 and the sum of the numbers in the second group as S2.

According to the given information, the average of the first group of 20 numbers is 30, so we have:

⇒ S1/20 = 30

⇒ S1 = 20 × 30

⇒ S1 = 600

Similarly, the average of the second group of 30 numbers is 50, so we have:

⇒ S2/30 = 50

⇒ S2 = 30 × 50

⇒ S2 = 1500

To find the average of all the numbers in both groups, we need to calculate the total sum and the total count.

The total sum is the sum of the numbers in both groups, which is:

Total sum = S1 + S2 = 600 + 1500 = 2100

The total count is the sum of the number of elements in both groups, which is:

Total count = 20 + 30 = 50

Therefore, the average of all the numbers in both groups is:

Average = Total sum / Total count = 2100 / 50 = 42

Therefore, the correct answer is: 42

• Ajanta
  • The most famous cave site is Ajanta.
  • It is located in the Aurangabad District of Maharashtra State.
  • Ajanta has 29 caves.
  • It has four chaitya caves datable to the earlier phase, i.e., the second and the first century BCE (Cave Nos. 10 and 9), and the later phase, i.e., the 5th century CE (Cave No. 19 and 26).
  • It has large chaitya viharas and is decorated with sculptures and paintings.
  • Ajanta is the only surviving example of a painting of the 1st century BCE and the 5th century CE.
  • The caves at Ajanta as well as in western Deccan in general have no precise chronology because of the lack of known dated inscriptions.
• The Ajanta caves were inscribed by the Buddhist monks, under the patronage of the Vakataka kings - Harishena being a prominent one. ​
• Painting:
  • The figures in these caves were done using fresco painting.
  • The outlines of the paintings were done in red colour.
  • One of the striking features is the absence of blue colour in the paintings.
  • The paintings are generally themed around Buddhism the life of Buddha and Jataka stories.
  • The caves were designated a UNESCO World Heritage site in 1983.

The correct answer is Gaganyaan

• Mission Gaganyaan has been dubbed as 'India's maiden human spaceflight program'.
• India is planning to send the astronauts into space by 2025.
• Under the Gaganyaan schedule, three flights will be sent in orbit.
• Of the three, there will be two unmanned flights and one human spaceflight.
• The human space flight program, called the Orbital Module will have three Indian astronauts, including a woman.

The correct answer is Andhra Pradesh.

Key Points

• The Kuchipudi dance originated in Andhra Pradesh.
• It is one of the major forms of Indian classical dance.
• It originated in the Indian state of Andhra Pradesh, a village called Kuchipudi.
• It is a dance-drama performance that has its roots in the ancient Hindu Sanskrit text of Natya Shastra.
• It evolved like all major classical dances of India as a religious art linked to travelling bards, temples, and spiritual beliefs.
• Mridangam, cymbals, veena, flute, and tambura are the traditional musical instruments in Kuchipudi.

Additional Information

The correct answer is Krishna Deva Raya.

Key Points

• Though a Vaishnavaite, Krishna Deva Raya respected all religions as a great patron of literature and art and he was known as Andhra Bhoja.
• Eight eminent scholars known as Ashta diggajas were at his royal court.
•  Allasani Peddanna was the greatest and he was called Andhrakavita Pitamaga. His important works include Manucharitam and Harikathasaram.
• Pingali Suranna and Tenali Ramakrishna were other important scholars.
• Krishna Deva Raya himself authored a Telugu work, Amukthamalyadha and Sanskrit works, JambavatiKalyanam and Ushaparinayam.

​Additional Information

• He built the famous Vittalaswamy and HazaraRamaswamy temples at Vijayanagar.
• He also built a new city called Nagalapuram in memory of his mother Nagaladevi.

Image of Andhra Deva Raya

The correct answer is Venus.

• Venus is made up of thick white and yellowish clouds of sulfuric acid.

Key Points

• Venus:
  • The planet is nearest to the Earth and is also the brightest planet.
  • Venus is known as the “Evening Star” as well as “Morning Star”.
  • Known as the “Veiled Planet”.
  • Also known as the “Earth’s twin”. It also rotates clockwise like Uranus.
  • Venus is the hottest planet (even hotter than Mercury).
  • Venus has no water on it. There is no sufficient oxygen on Venus.

Additional Information Mercury, Venus, Earth and Mars are called terrestrial planets.

• Jupiter, Saturn, Uranus and Neptune are called gaseous planets.
• Uranus is about four times the size of the Earth.
  • This planet appears Greenish in colour because of methane gas present in its atmosphere.
• Neptune is surrounded by methane rings of sub-zero temperature.

The correct answer is 'least'.

Key Points

• In the given sentence, "least" is the correct answer.
• In the given blank, we need a determiner "Least is the superlative form of little" and it can be used as a determiner with the uncountable noun followed by it.
  • For example- These farming methods cause the least damage to the environment.
• In addition to this, We use the quantifier "least" to talk about quantities, amounts, and degrees.
  • For example; He did the least work of any of us.
• In the given sentence, "Little" is incorrect because "the little" will also become a quantifier, and "amount of" will also become a quantifier hence, we don't need to use two quantifiers together. Hence, we will use a determiner i.e. "Least"

So the correct answer is- Lata has the least amount of milk.

The correct answer is 'Apparent'.

Key Points

• The most appropriate antonym of the given word 'Obscure' is 'Apparent'.
• Obscure: not easy to see or understand. (जो आसानी से दिखाई न पड़े या समझ में न आए, धुँधला या दुर्बोध)
  • Example: For some obscure reason, he decided to give up his well-paid job, to become a writer.
• Apparent: that seems to be real or true but may not be. (वास्‍तविक जैसा, आभासी)
  • Example: It quickly became apparent to us that our teacher could not speak French.

Correct Answer: Apparent.

Additional Information

• Let's look at the meaning of other words:
  • Blurred: unable to see or be seen clearly. (स्पष्ट रूप से देखने या देखने में असमर्थ)
  • Cloudy: (used about the sky, etc.) full of clouds. [(आकाश) मेघाच्‍छन्‍न; बादलों से ढका]
  • Veiled: not expressed directly or clearly because you do not want your meaning to be obvious. (अप्रत्‍यक्ष या अस्‍पष्‍ट)

The correct answer is 'shouldn't have'.

Key Points

• The sentence is a suggestion that can be a positive or a negative one. Such sentences are usually in the present tense.
• Option 1 and 3 use the past tense ('had') and the phrases are grammatically incorrect.
• Option 2 indicates an obligation/ expectation: For example, should have been on time. Also, it requires you to replace the verb 'done' with 'doing' due to the presence of 'been'. Since that's not possible in the given sentence, 2 cannot be our answer. 
• Option 4 is the short form of 'should not have', which is grammatically correct
• Correct sentence: He shouldn't have done it.
• Hence, the correct answer is option 4.

The correct answer is "Compassion".

Key Points

• Let's look at the meaning of the given word.
  • Benevolence: the quality of being well-meaning; kindness.
• Let's look at the meaning of the given options.
  • ​Severity: the fact or condition of being severe.
  • Malevolence: the state or condition of being malevolent; hostility.
  • Compassion: sympathetic pity and concern for the sufferings or misfortunes of others.
  • Impassion: make passionate.
• ​As per the meaning of the given words, "compassion" is the appropriate synonym for the word "benevolence".

​Hence, the correct answer is option 3.

Hinglish

• Let's look at the meaning of the given word.​
  • Benevolence: अच्छी तरह से अर्थ होने की गुणवत्ता; दयालुता।
• Let's look at the meaning of the given options.
  • ​​Severity: गंभीर होने का तथ्य या स्थिति।
  • Malevolence: द्वेषपूर्ण होने की अवस्था या भाव; शत्रुता।
  • Compassion: दूसरों के कष्टों या दुर्भाग्य के लिए सहानुभूतिपूर्ण दया और चिंता।
  • Impassion: make passionate.
• ​As per the meaning of the given words, "compassion" is the appropriate synonym for the word "benevolence".

​​Hence, the correct answer is option 3.

The correct answer is 'visited.'

Key Points 

• Simple Past tense: Simple past tense refers to an event that has already happened in the past.
  • ​Example: Lieniana went to a grocery shop after many years.
• The formula used for Simple past tense:
  • Subject + V2 + Object.
• In the given sentence, we are talking about something that has already happened (past).
• We have to use "visited" as the sentence is in the past as the year 2015 is given.
• All the other options are eliminated because of this reason.

Hence, option 3 is the correct answer.

Complete Sentence: I visited Mumbai six times in 2015. 

ସଠିକ ଉତ୍ତର ହେଉଛି "ଅନୁକୂଳ ଭାବରେ"।

• ଦତ୍ତ ଅନୁଚ୍ଛେଦ ଅନୁସାରେ; କେତେକ ସ୍ନେହ ଓ ମମତାର ଅଧୀନ ହୋଇ ସେମାନଙ୍କ ସ୍ନେହାସ୍ପଦ ବା ମମତାବଦ୍ଧ ଲୋକମାନଙ୍କୁ ସର୍ବଦା ଅନୁକୂଳ ଭାବରେ ସମାଲୋଚନା କରନ୍ତି। 
• ଏବଂ ସେମାନଙ୍କ ଦୋଷଗୁଡ଼ିକ ଉପରେ କୌଣସି ମନ୍ତବ୍ୟ ପ୍ରକାଶ ନ କରି ସେଗୁଡିକୁ ଲୋକସମାଜରୁ ଲୁଚାଇ ରଖନ୍ତି।

Key Points

• ଆମ ସମାଜରେ ବହୁ ଏମନ୍ତ ଲୋକ ଅଛନ୍ତି ଯେଉଁମାନେ ସ୍ନେହ ଓ ମମତାରେ ଅନ୍ଧ ହୋଇ ନିଜର ନିକଟସ୍ଥ ଲୋକଙ୍କ ସପକ୍ଷରେ କଥା କୁହନ୍ତି।
• ସେମାନଙ୍କ ଦୋଷଗୁଡ଼ିକୁ ଲୋକସମାଜରୁ ଲୁଚାଇ ରଖନ୍ତି।
• ସେମାନଙ୍କ ସିଦ୍ଧାନ୍ତଆଦିକୁ ସମର୍ଥନ ବା ପୋଷଣ କରନ୍ତି।
• ସୁତରାଂ ସ୍ନେହ ଓ ମମତା ହେତୁ କେହି କେହି ସ୍ନେହାସ୍ପଦ ଲୋକ ମାନଙ୍କୁ ଅନୁକୂଳ ଭାବରେ ସମାଲୋଚନା କରନ୍ତି।

3) ବିଶେଷ୍ୟ, ବିଶେଷଣ ସଠିକ ଉତ୍ତର 

ଯଥାର୍ଥତା :

• ଶବ୍ଦରେ ବିଶେଷ ବିଶେଷ ଅର୍ଥରେ ପ୍ରତ୍ୟୟ କରି ଯେଉଁ ଧାତୁ ନିଷ୍ପନ୍ନ ହୁଏ ତାହାକୁ ନାମଧାତୁ କୁହାଯାଏ
• ଯେଉ ପଦ ନାମ , ସଂଜ୍ଞା ଓ ପରିମାଣ କୁ ବୁଝାଏ ତାହାକୁ ବିଶେଷ୍ୟ କୁହାଯାଏ

• ବାକ୍ୟରେ ଯେଉଁ ପଦ ବିଶେଷ୍ୟ ପଦର ଗୁଣ , ସଂଖ୍ୟା , ଅବସ୍ଥା ଓ ପରିମାଣକୁ ନିର୍ଦ୍ଦିଷ୍ଟ ଭାବେ ବିଶେଷିତ କରେ ବା ପ୍ରକାଶ କରେ ତାହାକୁ ବିଶେଷଣ ପଦ କୁହାଯାଏ
• ଯେଉ କ୍ରିୟା ପଦ ବିଶେଷ୍ୟ ଓ ବିଶେଷଣ ଶବ୍ଦକୁ ଆଧାର କରି ହୋଇଥାଏ ତାହାକୁ ନାମଧାତୁ କ୍ରିୟା ପଦ କୁହାଯାଏ
•  ନାମଧାତୁଗୁଡ଼ିକର ଉତ୍ସ 3) ବିଶେଷ୍ୟ, ବିଶେଷଣ  

Additional Information

• ସଂସ୍କୃତରେ ନାମ ଧାତୁର ଉଦାହରଣ—ପାର୍ଥ ଶବ୍ଦରୁ ନାମ ଧାତୁ ପାର୍ଥାୟ; ହରିତ ଶବ୍ଦରୁ ନାମ ଧାତୁ ହରିତାୟ।
• ଓଡ଼ିଆରେ ନାମଧାତୁର ଉଦାହରଣ ଗୋଡ଼ ଶବ୍ଦରୁ ନାମଧାତୁର କ୍ରିୟା ଗୋଡ଼ା (ଡ଼େ)ଇବା; ନଖରୁ ନଖା(ଖେ)ଇବା;ପେଟରୁ ପେଟା(ଟେ)ଇବା; ଚିକଣରୁ ଚିକଣା(ଣେ)ଇବା ଇତ୍ୟାଦି

3) ଅଧି ସଠିକ ଉତ୍ତର 

ଯଥାର୍ଥତା :

• ଏକ ବା ଏକାଧିକ ବର୍ଣ୍ଣ ମିଶି କୌଣସି ଅର୍ଥ ପ୍ରକାଶ କରୁଥିଲେ ତାକୁ ଶବ୍ଦ କୁହାଯାଏ
• ଯେଉଁ ପଦ ଗୁଡିକର ରୂପରେ କାଳ,ବଚନ,କାରକ,ବିଭକ୍ତି,ଲିଙ୍ଗ ଭେଦ ଅନୁସାରେ କୌଣସି ପରିସ୍ଥିତିରେ ପରିବର୍ତନ ହୁଏନାହିଁ ,ସେହି ଅପରିବର୍ତୀତ ପଦକୁ ଅବ୍ୟୟ ପଦ କୁହାଯାଏ
• ଯେଉଁ ଅବ୍ୟୟ ପଦ ଗୁଡିକ ଧାତୁ ପୂର୍ବରୁ ଲାଗି ନୂତନ ଶବ୍ଦ ସୃଷ୍ଟି କରିଥାଏ ତାହାକୁ ଉପସର୍ଗ କୁହାଯାଏ
• ଉପସର୍ଗ (ଉପ + ସୃଜ୍‍ + ଅ) ଶବ୍ଦଟି ସୃଜ୍ ଧାତୁରୁ ସୃଷ୍ଟ
• ସୃଜ୍ ଧାତୁର ଅର୍ଥ ସୃଷ୍ଟି କରିବା, ତେଣୁ ଉପସର୍ଗ ନୂତନ ଶବ୍ଦ ସୃଷ୍ଟି କରିବା
• ଅଧ୍ୟାତ୍ମ=(ଅଧି=ଅଧିକାର କରି+ଆତ୍ମନ୍; ଯାହା ଆତ୍ମାକୁ ଅଧିକାର କରି ରହେ)
• ଯାହାର ଅର୍ଥ ପରମାତ୍ମା; ପରଂବ୍ରହ୍ମ,କାର୍ଯ୍ୟପ୍ରବର୍ତ୍ତକ ଆତ୍ମା,ଆତ୍ମାସମ୍ବନ୍ଧୀୟ
• ତେଣୁ .'ଅଧ୍ୟାତ୍ମ'  ଶବ୍ଦରେ 3) ଅଧି ଉପସର୍ଗ ବ୍ୟବହୃତ ହୋଇଛି

Additional Information

• ଧାତୁ ସହ ପ୍ରତ୍ୟୟ ଯୋଗ ହୋଇ ନୂତନ ଶବ୍ଦ ଗଠିତ ହୁଏ
• ଏହି ପ୍ରତ୍ୟୟ ଦୁଇ ପ୍ରକାରର - ପୂର୍ବ ପ୍ରତ୍ୟୟ ଓ ପର ପ୍ରତ୍ୟୟ
• ପୂର୍ବ ପ୍ରତ୍ୟୟ - ଉପସର୍ଗ ଓ ପର ପ୍ରତ୍ୟୟ - ପରସର୍ଗ
• ଉପସର୍ଗମାନ ସଂଖ୍ୟାରେ 20ଟି ଯଥା —ପ୍ର, ପରା, ଅପ, ସମ୍, ନି, ଅବ୍, ଅନୁ, ନିର୍, ଦୁର୍, ବି, ଅଧି, ସୁ, ଉତ୍, ପରି, ପ୍ରତି, ଅଭି, ଅତି, ଅପି, ଉପି, ଆ଼

2) ଅସମାପିକା ସଠିକ ଉତ୍ତର 

ଯଥାର୍ଥତା :

• ଯେଉ ପଦ ବାକ୍ୟରେ କ୍ରିୟା କୁ ବୁଝାଏ ତାହାକୁ କ୍ରିୟା କୁହାଯାଏ
• ଯେଉ କ୍ରିୟା ପଦ ବିଶେଷ୍ୟ ଓ ବିଶେଷଣ ଶବ୍ଦକୁ ଆଧାର କରି ହୋଇଥାଏ ତାହାକୁ ନାମଧାତୁ କ୍ରିୟା ପଦ କୁହାଯାଏ
• ଯେଉଁ କ୍ରିୟାଦ୍ଵାରା ବାକ୍ଯର ସମାପ୍ତି ସୂଚିତ ହୁଏ ତାକୁ କ'ଣ କହନ୍ତି ସମାପିକା କ୍ରିୟା କହନ୍ତି
• ଯେଉଁ କ୍ରିୟାଦ୍ଵାରା ବାକ୍ଯର ସମାପ୍ତି ସୂଚିତ ହୁଏ  ନାହିଁ ତାହାକୁ ଅସମାପିକା କ୍ରିୟା କୁହାଯାଏ
• ଏଥର ପୁରୀ ଯାଇଥିଲେ ​ଜଗନ୍ନାଥ ଦର୍ଶନ ସୁବିଧାରେ ମିଳିଥାନ୍ତା - ଏଠାରେ ଯାଇଥିଲେ ଓ ମିଳିଥାନ୍ତା କ୍ରିୟାପଦ
• ରେଖାଙ୍କିତ ପଦଟି 2) ଅସମାପିକା କ୍ରିୟା

Additional Information

• କ୍ରିୟାପଦ ୨ ପ୍ରକାର  - ସାଧ୍ୟ କ୍ରିୟା ଓ ଅସାଧ୍ୟ କ୍ରିୟା
• କ୍ରିୟାର ବ୍ୟବହାରିକ ଦୃଷ୍ଟିରୁ ପ୍ରକାରଭେଦ  -  ସମାପିକା କ୍ରିୟା , ଅସମାପିକା କ୍ରିୟା , ସକର୍ମକ  କ୍ରିୟା ,ଦ୍ଵିକର୍ମକ କ୍ରିୟା , ମିଶ୍ର କ୍ରିୟା ,ଅମିଶ୍ର କ୍ରିୟା , ଯୌଗିକ କ୍ରିୟା

ସଠିକ ଉତ୍ତର ହେଉଛି- ଦ୍ବିଜା

Key Points

• ଯେଉଁ ପଦ ପୁରୁଷ ଜାତୀୟ ପ୍ରାଣୀକୁ ବୁଝାଏ ତାହାକୁ ପୁଲିଙ୍ଗ ଓ ଯେଉଁ ପଦ ମହିଳା ଜାତୀୟ ପ୍ରାଣୀକୁ ବୁଝାଏ ତାହାକୁ ସ୍ତ୍ରୀଲିଙ୍ଗ କୁହାଯାଏ ।
• ପୁଲିଙ୍ଗ- ସାଧକ, ଶିକ୍ଷକ, ନାୟକ, ନିଶାଚର, ପାଠୁଆ, ସାଧୁ, ବୁଦ୍ଧିମାନ ଇତ୍ୟାଦି ।
• ସ୍ତ୍ରୀଲିଙ୍ଗ- ସାଧିକା, ଶିକ୍ଷୟିତ୍ରୀ, ନାୟିକା, ନିଶାଚରୀ, ସାଧ୍ବୀ, ବୁଦ୍ଧିମତୀ ଇତ୍ୟାଦି ।

ଯଥାର୍ଥତା:

• ଉପରୋକ୍ତ ପଦଗୁଡିକରେ ଦ୍ବିଜା ପୁଲିଙ୍ଗବାଚକ ଶବ୍ଦ ନୁହେଁ ।
• ଦ୍ବିଜା ଏକ ସ୍ତ୍ରୀଲିଙ୍ଗବାଚକ ଶବ୍ଦ ଅଟେ ।
• ଅନ୍ୟ ସମସ୍ତ ବିକଳ୍ପଗୁଡିକ ପୁଲିଙ୍ଗବାଚକ ଶବ୍ଦ ଅନ୍ତର୍ଭୁକ୍ତ ।

From the statements:

⇒ Baby is shorter than Anil.

Anil > Baby

⇒ Anil is taller than Sunny who is shorter than Baby.

Anil > Baby > Sunny

⇒ Anil is taller than Bose who is shorter than Sunny.

Thus, the final arrangement is as follows:

Anil > Baby > Sunny > Bose

We can see that Bose is the shortest.

Hence, Bose is correct.

Who is used for the second person in a connecting statement:

For example:

Anil is taller than Sunny, who is shorter than Baby → It means Anil is taller than Sunny and Sunny is shorter than Baby.

For this question, We have to check the given equation as-

146 –  2 + 3 × 123 × 5 + 2

New equation after replacing symbols-

146 ÷ 2 × 3 – 123 - 5 × 2

According to the BODMAS rule-

⇒ 73 × 3 –  123 – 5 × 2

⇒ 219 –  123 –  10

⇒ 86

Hence, Option (4) is correct.

Reverse alphabet series,

Z Y X W V U T S R Q P O N M L K J I H G F E D C B A

12th letter from the left → O

8th to the right of the "O" → G

Hence, the correct answer is "G".

15 + (2)² = 19

19 + (4)² = 35

35 + (6)² = 71

71 + (8)² = 135

So, the correct option will be option 4.

Six Persons: S, T, U, V, W and X

Facing: North

1) W and T are sitting at the fourth position from the left end and the right end, respectively.

2) U and X are not the immediate neighbours of T and W.

3) S is sitting at the fifth position from the right end.

So, final sitting arrangement:

Hence, “V” is sitting at the second position from the right end.