Subject: Sindh University Past Papers and Syllabus

Explanation
H R G S T → No valid 5-letter word. R I L S A → RAILS (Valid word). T O O M B D → This set has 6 letters, so it can't form a 5-letter word. W Q R G S → No valid 5-letter word.

Explanation
All roses are flowers , meaning every rose is included in the category of flowers. Some flowers are red , which means at least a few flowers in the broader category are red.

Since roses are part of the flower category, it logically follows that some roses must be red .

Explanation
Assigning numerical values based on a pattern: B = 5, E = 6, A = 4, T = 2 → BEAT = 5642 S = 6, W = 6, E = 9, E = 1, T = 2 → SWEET = 66912 T = 9, E = 6, A = 1, S = 6, E = 2 → TEASE = 96162 .

Explanation
Pakistan joined the United Nations on September 30, 1947. It has been a non-permanent member of the UN Security Council seven times in: 1952-1953 1968-1969 1976-1977 1983-1984 1993-1994 2003-2004 2012-2013 The name "United Nations" was coined by US President Franklin D. Roosevelt. The UN Headquarters is located in New York, United States. It was founded on October 24, 1945. It's currently has 193 member states and 2 observer states. The official languages of the UN are Arabic, Chinese, English, French, Russian, and Spanish.

Explanation
Peacock, Pigeon, and Parrot : Names are gender-neutral (can refer to males or females of the species). Peacock = Male/Female (though commonly used for males, the species is "peafowl"). Pigeon = No distinct gender in the name. Parrot = No distinct gender in the name. Peahen : Specifically refers to the female of the peafowl species. The male is called a peacock , making " peahen " gender-specific.

Explanation
Step 1: Determine the price per kilogram Given the price of 1.5 kg apples is Rs. 60, let's find the price per kilogram. Price per kg = Total price / Total weight in kg = 60 / 1.5 Step 2: Calculate the price per kilogram Price per kg = 60 / 1.5 = 40 Rs/kg Step 3: Calculate the price for 200 grams First, convert 200 grams to kilograms: 200 grams = 0.2 kg Price for 200 grams = Price per kg * Weight in kg = 40 * 0.2 Step 4: Calculate the price Price for 200 grams = 40 * 0.2 = 8 Rs

Explanation
Step 1: Determine the pattern Given 3 = 6, 6 = 30, and 5 = 20, let's find the pattern. For 3 = 6, it could be 3 * 2 = 6. For 6 = 30, it could be 6 * 5 = 30. For 5 = 20, it could be 5 * 4 = 20. Step 2: Identify the pattern The pattern seems to be n * (n-1) or another pattern based on the given numbers. Step 3: Test the pattern n * (n-1) or n * x If we apply n * (n-1): 3 * (3-1) = 3 * 2 = 6 6 * (6-1) = 6 * 5 = 30 5 * (5-1) = 5 * 4 = 20 This pattern fits. Step 4: Apply the pattern to 7 7 * (7-1) = 7 * 6 = 42

Explanation
Given the sequences: CAT = 1, 2, 3 INK = 4, 5, 6 DOG = 7, 8, 9 ACTION = 10, 11, 12, 13, 14, 15

Explanation
Car A: 6 km right, then 2 km left = 4 km right of the start Car B: 6 km left, then 2 km right = 4 km left of the start Distance between them = 4 km + 4 km = 8 km

Explanation
Step 1: Identify the pattern Let's analyze the given numbers: 101 = 20: 10 * 2 = 20 (first two digits multiplied) 354 = 75: 3 * 25 = 75 (first digit * last two digits) 333 = 63: 3 * 21 = 63 (first digit * last two digits) Step 2: Apply the pattern If the pattern is the first digit multiplied by the last two digits: 828: 8 * 20.25 doesn't fit directly, but 8 * 20 = 160 + 2 = 162 (8 * 20 + 2 = 162), or simply 8 * (20 + 0.25) = 162. However, a simpler pattern could be: 101: 10 * 2 = 20 354: 3 * 25 = 753 33: 3 * 21 = 638 28: 8 * 20.25 = 162

Explanation
H R G S T → No valid 5-letter word. R I L S A → RAILS (Valid word). T O O M B D → This set has 6 letters, so it can't form a 5-letter word. W Q R G S → No valid 5-letter word.

Explanation
All roses are flowers , meaning every rose is included in the category of flowers. Some flowers are red , which means at least a few flowers in the broader category are red.

Since roses are part of the flower category, it logically follows that some roses must be red .

Explanation
Assigning numerical values based on a pattern: B = 5, E = 6, A = 4, T = 2 → BEAT = 5642 S = 6, W = 6, E = 9, E = 1, T = 2 → SWEET = 66912 T = 9, E = 6, A = 1, S = 6, E = 2 → TEASE = 96162 .

Explanation
Pakistan joined the United Nations on September 30, 1947. It has been a non-permanent member of the UN Security Council seven times in: 1952-1953 1968-1969 1976-1977 1983-1984 1993-1994 2003-2004 2012-2013 The name "United Nations" was coined by US President Franklin D. Roosevelt. The UN Headquarters is located in New York, United States. It was founded on October 24, 1945. It's currently has 193 member states and 2 observer states. The official languages of the UN are Arabic, Chinese, English, French, Russian, and Spanish.

Explanation
Peacock, Pigeon, and Parrot : Names are gender-neutral (can refer to males or females of the species). Peacock = Male/Female (though commonly used for males, the species is "peafowl"). Pigeon = No distinct gender in the name. Parrot = No distinct gender in the name. Peahen : Specifically refers to the female of the peafowl species. The male is called a peacock , making " peahen " gender-specific.

Explanation
Step 1: Determine the price per kilogram Given the price of 1.5 kg apples is Rs. 60, let's find the price per kilogram. Price per kg = Total price / Total weight in kg = 60 / 1.5 Step 2: Calculate the price per kilogram Price per kg = 60 / 1.5 = 40 Rs/kg Step 3: Calculate the price for 200 grams First, convert 200 grams to kilograms: 200 grams = 0.2 kg Price for 200 grams = Price per kg * Weight in kg = 40 * 0.2 Step 4: Calculate the price Price for 200 grams = 40 * 0.2 = 8 Rs

Explanation
Step 1: Determine the pattern Given 3 = 6, 6 = 30, and 5 = 20, let's find the pattern. For 3 = 6, it could be 3 * 2 = 6. For 6 = 30, it could be 6 * 5 = 30. For 5 = 20, it could be 5 * 4 = 20. Step 2: Identify the pattern The pattern seems to be n * (n-1) or another pattern based on the given numbers. Step 3: Test the pattern n * (n-1) or n * x If we apply n * (n-1): 3 * (3-1) = 3 * 2 = 6 6 * (6-1) = 6 * 5 = 30 5 * (5-1) = 5 * 4 = 20 This pattern fits. Step 4: Apply the pattern to 7 7 * (7-1) = 7 * 6 = 42

Explanation
Given the sequences: CAT = 1, 2, 3 INK = 4, 5, 6 DOG = 7, 8, 9 ACTION = 10, 11, 12, 13, 14, 15

Explanation
Car A: 6 km right, then 2 km left = 4 km right of the start Car B: 6 km left, then 2 km right = 4 km left of the start Distance between them = 4 km + 4 km = 8 km

Explanation
Step 1: Identify the pattern Let's analyze the given numbers: 101 = 20: 10 * 2 = 20 (first two digits multiplied) 354 = 75: 3 * 25 = 75 (first digit * last two digits) 333 = 63: 3 * 21 = 63 (first digit * last two digits) Step 2: Apply the pattern If the pattern is the first digit multiplied by the last two digits: 828: 8 * 20.25 doesn't fit directly, but 8 * 20 = 160 + 2 = 162 (8 * 20 + 2 = 162), or simply 8 * (20 + 0.25) = 162. However, a simpler pattern could be: 101: 10 * 2 = 20 354: 3 * 25 = 753 33: 3 * 21 = 638 28: 8 * 20.25 = 162

Explanation
The cosine of π radians (or 180 degrees) is -1 .

Explanation
The cosine of 0 degrees is 1 .

Explanation
π (pi) is approximately 3.14159 . The value of Pi (π) is the ratio of the circumference of a circle to its diameter.

Explanation
Step 1: Recall the definition of set difference The set difference A - B is the set of elements that are in A but not in B. Step 2: Calculate A - A A = {1,2,3,4} A - A = {} (since every element in A is also in A, the difference is the empty set )

Explanation
The distributive law for sets states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

Explanation
The pattern appears to be that the number on the right side of the equation is the last digit of the number on the left side . The last digit of 57 is 7 .

Explanation
Step 1: Calculate the expression -3 + 12 = 9 Step 2: Compare the result to the options Since √81 = 9 (because 9² = 81), the correct answer is √81 .

Explanation
2a³ - a³ = (2-1)a³ = 1a³ = a³ This is because when you subtract a³ from 2a³ , you are essentially subtracting 1a³ from 2a³ , leaving you with 1a³ , which simplifies to a³ .

Explanation
Step 1: Calculate the division 0.3/0.1 = 3 Step 2: Multiply the result by 0.3 3 × 0.3 = 0.9

Explanation
The secant of an angle θ is defined as 1/cos(θ). For θ = 0, cos(0) = 1 . sec(0) = 1/cos(0) = 1/1 = 1 .

Explanation
The cosine of π radians (or 180 degrees) is -1 .

Explanation
The cosine of 0 degrees is 1 .

Explanation
π (pi) is approximately 3.14159 . The value of Pi (π) is the ratio of the circumference of a circle to its diameter.

Explanation
Step 1: Recall the definition of set difference The set difference A - B is the set of elements that are in A but not in B. Step 2: Calculate A - A A = {1,2,3,4} A - A = {} (since every element in A is also in A, the difference is the empty set )

Explanation
The distributive law for sets states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

Explanation
The pattern appears to be that the number on the right side of the equation is the last digit of the number on the left side . The last digit of 57 is 7 .

Explanation
Step 1: Calculate the expression -3 + 12 = 9 Step 2: Compare the result to the options Since √81 = 9 (because 9² = 81), the correct answer is √81 .

Explanation
2a³ - a³ = (2-1)a³ = 1a³ = a³ This is because when you subtract a³ from 2a³ , you are essentially subtracting 1a³ from 2a³ , leaving you with 1a³ , which simplifies to a³ .

Explanation
Step 1: Calculate the division 0.3/0.1 = 3 Step 2: Multiply the result by 0.3 3 × 0.3 = 0.9

Explanation
The secant of an angle θ is defined as 1/cos(θ). For θ = 0, cos(0) = 1 . sec(0) = 1/cos(0) = 1/1 = 1 .

Explanation
The cosine of π radians (or 180 degrees) is -1 .

Explanation
The cosine of 0 degrees is 1 .

Explanation
π (pi) is approximately 3.14159 . The value of Pi (π) is the ratio of the circumference of a circle to its diameter.

Explanation
Step 1: Recall the definition of set difference The set difference A - B is the set of elements that are in A but not in B. Step 2: Calculate A - A A = {1,2,3,4} A - A = {} (since every element in A is also in A, the difference is the empty set )

Explanation
The distributive law for sets states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

Explanation
The pattern appears to be that the number on the right side of the equation is the last digit of the number on the left side . The last digit of 57 is 7 .

Explanation
Step 1: Calculate the expression -3 + 12 = 9 Step 2: Compare the result to the options Since √81 = 9 (because 9² = 81), the correct answer is √81 .

Explanation
2a³ - a³ = (2-1)a³ = 1a³ = a³ This is because when you subtract a³ from 2a³ , you are essentially subtracting 1a³ from 2a³ , leaving you with 1a³ , which simplifies to a³ .

Explanation
Step 1: Calculate the division 0.3/0.1 = 3 Step 2: Multiply the result by 0.3 3 × 0.3 = 0.9

Explanation
The secant of an angle θ is defined as 1/cos(θ). For θ = 0, cos(0) = 1 . sec(0) = 1/cos(0) = 1/1 = 1 .

Explanation
The cosine of π radians (or 180 degrees) is -1 .

Explanation
The cosine of 0 degrees is 1 .

Explanation
π (pi) is approximately 3.14159 . The value of Pi (π) is the ratio of the circumference of a circle to its diameter.

Explanation
Step 1: Recall the definition of set difference The set difference A - B is the set of elements that are in A but not in B. Step 2: Calculate A - A A = {1,2,3,4} A - A = {} (since every element in A is also in A, the difference is the empty set )

Explanation
The distributive law for sets states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).