Ali is younger than Zia by 10 years. If 5 years back their ages were in the ratio 1:2, how old is Zia?
Let Zia's current age be Z. Ali's age is Z-10. Five years ago, their ages were (Z-15) and (Z-5). The ratio (Z-15)/(Z-5) = 1/2, which solves to Z=25. Options A and B are incorrect calculations.
4 + 4.44 + 44.4 + 4.04 + 444 = ?
Adding the numbers: 4.00 + 4.44 + 44.40 + 4.04 + 444.00 equals 500.88. Careful alignment of decimal points during addition is crucial to avoid errors. Options A, B, and D result from incorrect summation.
If the given value is 16a + 16b = 48. What is the average of a and b?
Given 16a + 16b = 48, divide by 16 to get a + b = 3. The average of a and b is (a + b) / 2. Substituting the value, the average is 3 / 2. Other options are intermediate steps or incorrect final averages.
If an alloy contains copper and silver in the ratio 3:7, then the percentage quantity of silver in the alloy is:
The ratio of copper to silver is 3:7, meaning there are 3 parts copper and 7 parts silver, totaling 10 parts. The fraction of silver is 7/10. To find the percentage, multiply by 100%, which gives 70%. Options A and C are incorrect percentages.
A mixture contains 12% copper. How many kg of mixture is required to get 69 kg of copper?
To determine the total quantity of mixture required, we need to understand that the 69 kg of copper represents 12% of the total mixture. Let 'X' be the total mass of the mixture in kg. The problem can be set up as a simple percentage equation: 12% of X = 69 kg.
To solve for X, we convert the percentage to a decimal: 0.12. So, the equation becomes 0.12 * X = 69. Dividing both sides by 0.12 gives us X = 69 / 0.12. Performing this calculation, X = 575 kg. Therefore, 575 kg of the mixture is required to obtain 69 kg of copper. Options (A) 424 kg and (C) 828 kg are incorrect as they do not satisfy the given percentage relationship, likely resulting from miscalculations or incorrect application of the percentage concept.
The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, the correct mean is:
The correct mean is calculated by adjusting the total sum for the wrongly recorded items and then dividing by the total number of items.
Factorization of the expression y^2 + y-6 is?
- (y+2)(y-3)
- (y+3)(y-2)
- (y+3)(x-4)
- None
Explanation
To factorize the expression y^2 + y – 6, we need to find two numbers whose product is -6 and whose sum is 1 (the coefficient of the middle term).
These numbers are 3 and -2, so we can write:
y^2 + y – 6 = (y + 3)(y – 2)
Three candidates in an election received 1136, 7636, and 11628 votes respectively. What percentage of total votes did the winning candidate get?
The correct answer is (A) 57%. To determine the percentage of total votes the winning candidate received, we first need to calculate the total number of votes cast. Summing the votes for all three candidates: 1136 + 7636 + 11628 = 20400 votes. The winning candidate is the one with the highest number of votes, which is 11628. To find the percentage, we divide the winning candidate's votes by the total votes and multiply by 100: (11628 / 20400) * 100 = 0.57 * 100 = 57%. Options like 60% or 76.4% are incorrect as they do not reflect the actual vote distribution based on the given numbers. This calculation demonstrates the clear majority obtained by the leading candidate in this election.
The 40th Prime Minister of New Zealand was:
Jacinda Ardern served as the 40th Prime Minister of New Zealand. Eva Lawler is an Australian politician, and Julia Gillard was Australia's 27th Prime Minister, making options A and C incorrect.
—– became a member of the World Trade Organization on December 11, 2001.
China officially joined the World Trade Organization on December 11, 2001, after a lengthy negotiation process. Malaysia and France were already members before this date, making them incorrect options.
The civil war (1992-2002) is also known as the black decade.
A) Tajikistan
(B) Algerian
(C) Sudanese
(D) None of these
The correct answer is (B) Algerian
The Algerian civil war (1992-2002) is also known as the Black Decade.
It was a period of intense violence.
It was conflict between the government and Islamist insurgents (11 January 1992 to 8 February 2002)
The Rose Revolution occurred in:
The Rose Revolution was a peaceful protest in Georgia in November 2003, leading to the resignation of Eduard Shevardnadze. Belarus and Romania experienced different political events, not the Rose Revolution.
The Tulip Revolution took place in:
The Tulip Revolution, also known as the First Kyrgyz Revolution, occurred in Kyrgyzstan in March 2005, overthrowing President Askar Akayev. Turkmenistan and Latvia did not experience this specific revolution.
The Orange Revolution happened in:
The Orange Revolution was a series of protests in Ukraine from November 2004 to January 2005, following alleged fraud in the presidential election. Moldova and Lithuania experienced different political events.
The War in Darfur, also nicknamed the Land Cruiser War, was a major armed conflict that began in Feb 2003.
The War in Darfur, also known as the Land Cruiser War, was a major armed conflict that began in February 2003 in Sudan. Afghanistan and Ghana are incorrect as the conflict did not take place in these countries.
Cyclonic storm Nargis, a destructive cyclone, caused the worst national disaster in the history of:
Cyclonic storm Nargis caused the worst national disaster in the history of Myanmar in 2008. Malaysia and Thailand are incorrect as they were not the primary countries affected by this catastrophic event.
Barack Obama was elected the first African American president of the United States in:
Barack Obama was elected the first African American president of the United States in 2008. The years 2007 and 2005 are incorrect as his election occurred later than those dates.
The Deepwater Horizon oil spill was an environmental disaster, the largest marine oil spill in the history of the petroleum industry occurred in:
The Deepwater Horizon oil spill, the largest marine oil spill in petroleum industry history, occurred in the Gulf of Mexico. The Persian Gulf and Gulf of Aden are incorrect locations for this specific disaster.