The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.

The average of 20 numbers is 32. If two numbers are 29 and 31, then what is the average of the remaining numbers (correct up to two decimals)? 

Find the standard deviation of the following data (rounded off to two decimal places). 

5, 3, 4, 7 

Select the INCORRECT formula from the following options.

The LCM of x² − 8x + 15 and x² − 5x + 6 is: 

Read the following passage and answer the questions given after it.

Notwithstanding logistical challenges posed by COVID19 pandemic, India continues to expand its rice exports footprint in the African, Asian and European Union markets, thus having the largest share in global rice trade. The robust global demand also helped India’s growth in rice exports.

In 2020-21, India’s rice exports (Basmati and Non-Basmati) rose by a huge 87 per cent to 17.72 Million Tonne (MT) from 9.49 MT achieved in 2019-20. In terms of value realisation, India’s rice exports rose by 38 per cent to USD 8815 million in 2020-21 from USD 6397 million reported in 2019-20. In terms of Rupees, India’s rice export grew by 44 per cent to Rs 65298 crore in 2020-21 from Rs 45379 crore in the previous year. In the first seven months of the current financial year (2021-22), India’s rice exports rose by more than 33 per cent to 11.79 MT from 8.91 MT achieved during April-October, 2020-21. It is anticipated that India’s rice exports in 2021-22 would likely surpass the record feet of 17.72 MT achieved in 2020-21.

In 2020-21, India shipped non-basmati rice to nine countries - Timor-Leste, Puerto Rico, Brazil, Papua New Guinea, Zimbabwe, Burundi, Eswatini, Myanmar and Nicaragua, where exports were carried out for the first time or earlier the shipment was smaller in volume. India’s Non-Basmati rice exports was valued at USD 4796 million (Rs 35448crore) in 2020- 21, with Basmati Rice exports a close second at USD 4018 million (Rs 29,849 crore). In terms of volume of Basmati rice exports in 2020-21, top ten countries – Saudi Arabia, Iran, Iraq, Yemen, United Arab Emirates, United States of America, Kuwait, United Kingdom, Qatar and Oman have a share of close to 80 per cent in total shipments of aromatic long grained rice from India.

Top ten countries – Nepal, Benin, Bangladesh, Senegal, Togo, Cote D Ivoire, Guinea, Malaysia, Iraq, United Arab Emirates – have a share of 57 per cent in India’s total exports of non-Basmati rice in 2020-21 in terms of volume.

Which of the following questions cannot be answered on the basis of the above passage?

Read the following passage and answer the questions given after it.

Tens of thousands of people who lost their homes in a catastrophic earthquake huddled around campfires in the bitter cold and clamoured for food and water on Thursday, three days after the temblor hit Turkey and Syria and killed more than 19,300 on Monday, 6th February, 2023.

Emergency crews used pick axes, shovels and jackhammers to dig through twisted metal and concrete - and occasionally still pulled out survivors. In the Turkish city of Antakya, dozens scrambled for aid in front of a truck distributing children's coats and other supplies. Many of those who lost their homes found shelter in tents, stadiums and other temporary accommodation, but others slept outdoors. In Antakya, over 100 bodies were awaiting identification in a makeshift morgue outside a hospital.

Authorities called off search-and-rescue operations in the cities of Kilis and Sanliurfa, where destruction was not as severe as in other impacted regions. The U.N. is authorised to deliver aid through only one border crossing, and road damage has prevented that thus far. U.N. Officials pleaded for humanitarian concerns to take precedence over wartime politics.

The scale of loss and suffering remained massive. Turkish authorities said on Thursday that the death toll had risen to more than 16,100 in the country, with more than 64,000 injured. In Syria, which includes government-held and rebel-held areas, more than 3,100 have been reported dead and more than 5,000 injured.

Rescue teams urged quiet in the hope of hearing stifled pleas for help, and the Syrian paramedic group known as the White Helmets noted that every second could mean saving a life. But more and more often, the teams pulled out dead bodies.

It was not clear how many people were still unaccounted for in both countries. Turkey's disaster-management agency said more than 110,000 rescue personnel were now taking part in the effort and more than 5,500 vehicles, including tractors, cranes, bulldozers and excavators had been shipped.

The Foreign Ministry said 95 countries have offered help. More than half of that number have sent a total of nearly 6,500 rescuers. Another 2,400 more are still expected to arrive. International aid for Syria was far more sparse.

Efforts there have been hampered by the civil war and the isolation of the rebel-held region along the border that is surrounded by Russia-backed government forces.

Why is the International aid much lesser in Syria than in Turkey?

Read the following passage and answer the questions given after it.

Tens of thousands of people who lost their homes in a catastrophic earthquake huddled around campfires in the bitter cold and clamoured for food and water on Thursday, three days after the temblor hit Turkey and Syria and killed more than 19,300 on Monday, 6th February, 2023.

Emergency crews used pick axes, shovels and jackhammers to dig through twisted metal and concrete - and occasionally still pulled out survivors. In the Turkish city of Antakya, dozens scrambled for aid in front of a truck distributing children's coats and other supplies. Many of those who lost their homes found shelter in tents, stadiums and other temporary accommodation, but others slept outdoors. In Antakya, over 100 bodies were awaiting identification in a makeshift morgue outside a hospital.

Authorities called off search-and-rescue operations in the cities of Kilis and Sanliurfa, where destruction was not as severe as in other impacted regions. The U.N. is authorised to deliver aid through only one border crossing, and road damage has prevented that thus far. U.N. Officials pleaded for humanitarian concerns to take precedence over wartime politics.

The scale of loss and suffering remained massive. Turkish authorities said on Thursday that the death toll had risen to more than 16,100 in the country, with more than 64,000 injured. In Syria, which includes government-held and rebel-held areas, more than 3,100 have been reported dead and more than 5,000 injured.

Rescue teams urged quiet in the hope of hearing stifled pleas for help, and the Syrian paramedic group known as the White Helmets noted that every second could mean saving a life. But more and more often, the teams pulled out dead bodies.

It was not clear how many people were still unaccounted for in both countries. Turkey's disaster-management agency said more than 110,000 rescue personnel were now taking part in the effort and more than 5,500 vehicles, including tractors, cranes, bulldozers and excavators had been shipped.

The Foreign Ministry said 95 countries have offered help. More than half of that number have sent a total of nearly 6,500 rescuers. Another 2,400 more are still expected to arrive. International aid for Syria was far more sparse.

Efforts there have been hampered by the civil war and the isolation of the rebel-held region along the border that is surrounded by Russia-backed government forces.

The passage highlights all the following except