Mixed General Knowledge: Auto, Math & India

Bhubaneswar is the capital city of Odisha (formerly known as Orissa). Odisha is an eastern state of India known for its temples and coastal areas along the Bay of Bengal.

The Parashurameshwara Temple is one of the oldest and most famous temples in Bhubaneswar, dating back to the 7th century AD. It is dedicated to Lord Shiva and is an excellent example of Odisha temple architecture. The Jagannath Temple is actually located in Puri, not Bhubaneswar.

If you boil four eggs together in the same pot simultaneously, they will all be done in approximately five minutes. The key insight is that boiling time depends on the cooking process, not on the number of eggs (assuming the pot is large enough). This tests whether you recognize parallel processing versus sequential processing.

At 7:20, the minute hand points at 4 (120 degrees from 12). The hour hand at 7:20 is one-third of the way from 7 to 8, at 210 + 10 = 220 degrees from 12 (or 220 - 360 = -140 degrees). The angle between them is 120 - (-140) = 260 degrees, but since we take the smaller angle, it's 360 - 260 = 100 degrees. Alternatively, using the formula: |60×7 - 11×20| / 2 = |420 - 220| / 2 = 100.

In a knockout tournament, each match eliminates exactly one team. To find a winner from 22 teams, we need to eliminate 21 teams, which requires exactly 21 matches. This is a fundamental principle of knockout tournaments - regardless of the tournament structure, you always need (n-1) matches for n teams.

This is a reflection problem in coordinate geometry. To minimize the path from P(0,3) to the x-axis and then to Q(15,6), reflect point Q across the x-axis to get Q'(15,-6). The shortest path is a straight line from P to Q', which crosses the x-axis at (5,0). This minimizes the total distance: sqrt(5² + 3²) + sqrt(10² + 6²) = sqrt(34) + sqrt(136) ≈ 18.4 units.

When price increases from Rs. 32 to Rs. 40, it's a 25% increase. To keep total expenditure constant, consumption must decrease by 20% because 0.80 × 40 = 32 (the original expenditure per kg). The formula for reduction percentage when price increases is: reduction% = increase%/(100+increase%) × 100 = 25/125 × 100 = 20%.

Let distance be D. Time difference is 12 mins (7 late + 5 early) or 0.2 hours. Using the formula D/5 - D/6 = 0.2, we get D/30 = 0.2, so D = 6 km. The calculation confirms that 6 km is the correct distance.

Saab was a Swedish automotive manufacturer that had partnerships with GM through joint ventures (GM Saab alliance) but was never fully owned by General Motors. In contrast, Buick, Cadillac, and GMC are core, wholly-owned GM brands that have been part of the company for decades.

The Chevrolet Aveo uses the Ecotec engine family (specifically E-TEC II for the Aveo model). Northstar is Cadillac's premium V8 engine, Vortec is GM's truck/SUV engine line, and Duramax is their diesel truck engine. Ecotec is GM's compact car engine platform used globally.

STD code 080 is assigned to Bengaluru (formerly Bangalore), the capital city of Karnataka state in southern India. Bengaluru is known as India's IT capital and is one of the major metropolitan cities with this 3-digit STD code.

STD code 044 belongs to Chennai (formerly Madras), the capital of Tamil Nadu and a major metropolitan city on the Coromandel Coast of southeastern India. Chennai is an important cultural and economic hub in South India.

STD code 033 is for Kolkata (formerly Calcutta), the capital of West Bengal and the cultural capital of eastern India. Kolkata is one of India's oldest major cities and was the capital of British India until 1911.

STD code 022 corresponds to Mumbai (formerly Bombay), the financial capital of India and capital of Maharashtra state. Mumbai is India's largest city by population and its primary financial and commercial center.

The STD code 011 is assigned to New Delhi, the capital of India. Other major metros have different codes: Mumbai is 022, Kolkata is 033, and Chennai is 044.

In India, 020 is the Subscriber Trunk Dialing (STD) code for the city of Pune in Maharashtra. Each major city has a unique code; for example, Mumbai is 022 and Bengaluru is 080.

On day 1, the owner gave a house to 1 ant (the original). On day 2, that ant brought 1 friend (total 2). On day 3, each of those 2 brought friends, adding 2 more (total 4). Following this pattern (powers of 2), by day 10 there would be 512 ants. However, the question asks about 'one fine day' when the owner finally asked for rent. The pattern shows the owner asked on the 10th day. The question asks 'how many were there on that day' which could mean day 10 (512) or could be interpreting that the owner asked when there were 10 ants. Given option D is 10, this appears to be asking about the day number rather than the count.

Diesel engines do NOT have spark plugs at all. They use compression ignition where fuel ignites spontaneously due to the high temperature from compressed air, not from a spark. Petrol engines require spark plugs to ignite the fuel-air mixture. So diesel engines have zero spark plugs, which is fewer than any petrol engine (typically 4, 6, or more spark plugs depending on cylinders).