A. 30
B. 40
C. 70
D. 90
Correct Answer: B. 40
To find the new mean after increasing each number by 5, you can follow these steps:
1. Original mean: 35
2. Number of values: 75
When each number is increased by 5, the new mean will be:
New Mean=Original Mean+5
New Mean=35+5=40
So the correct answer is B. 40.
A. 10
B. 20
C. 21
D. 111
Correct Answer: C. 21
To convert the binary number 10101 to its decimal equivalent, you can use the positional notation system. Each digit in a binary number represents a power of 2, starting from the rightmost digit as 2^0, then increasing by one power for each subsequent digit to the left.
So, 10101 in binary is calculated as:
1 * 2^4 + 0 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 16 + 0 + 4 + 0 + 1 = 21
Therefore, the correct answer is:
C. 21
A. Rs. 115
B. Rs. 110
C. Rs. 125
D. None of these
Correct Answer: C. Rs. 125
To solve this problem, let’s denote the original electricity bill amount as .
If 20% of the bill is deducted, the remaining amount to be paid is 100. This means 80% of the bill remains.
We can set up the equation as follows:
0.80×x=100
Now, let’s solve for :
x=100/0.80=125
So, the original electricity bill was Rs. 125.
Therefore, the correct answer is C. Rs. 125.
A. 87
B. 80
C. 75
D. None of these
Correct Answer: C. 75
Let’s break down the problem step by step:
First, let’s find out the selling price (SP) after applying the discount: Discount = 31% of the list price = 0.31 * 125 = Rs 38.75 So, the selling price after the discount = List price – Discount = Rs 125 – Rs 38.75 = Rs 86.25
Now, we know that the shopkeeper earns a 15% profit on the selling price. Let’s represent the cost price (CP) as x.
The selling price (SP) after profit = Cost price (CP) + Profit So, SP = CP + 15% of CP = CP + 0.15 * CP = 1.15 * CP
Given that SP = Rs 86.25, we can write the equation as: 1.15 * CP = 86.25
Now, we can solve for the cost price (CP): CP = 86.25 / 1.15 = Rs 75
So, the cost price of the shirt is Rs 75.
Therefore, the correct answer is C. 75.
A. 19
B. 18
C. 17
D. None of these
Correct Answer: B. 18
To find the numbers up to 450 that are divisible by 4, 6, and 8 together, we need to find the numbers that are divisible by the least common multiple (LCM) of 4, 6, and 8.
The LCM of 4, 6, and 8 is the smallest number that is divisible by all three numbers, which can be found by calculating the prime factorization of each number:
To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 = 24.
So, any number that is divisible by 24 is also divisible by 4, 6, and 8.
Now, to find how many numbers up to 450 are divisible by 24, we divide 450 by 24:
450 ÷ 24 = 18 with a remainder of 18.
So, there are 18 whole multiples of 24 up to 450.
Therefore, the correct answer is B. 18.
A. Skin rash on neck
B. Joint Pain
C. Plateful Variation
D. Chancre
Correct Answer: B. Joint Pain
However, it’s important to note that gonorrhea can cause a range of symptoms, and joint pain is just one of them. Other common symptoms in males can include a burning sensation during urination, discharge from the penis, and painful or swollen testicles. The specific symptoms can vary from person to person, and some individuals may be asymptomatic. It’s essential to seek medical attention if you suspect you have gonorrhea or are experiencing any unusual symptoms.
A. Oviduct
B. Oracles
C. Uterus
D. Cervile
Correct Answer: A. Oviduct
Fallopian tubes, otherwise called oviducts or uterine tubes, are hollow seromuscular organs that originate at the uterine horns, extend laterally within the superior edge of the mesosalpinx of the broad ligament, and terminate near the ipsilateral ovary
A. Thyroid Gland
B. Parathyroid Gland
C. Pancreas
D. Adrenal Gland
Correct Answer: A. Thyroid Gland
Calcitonin is produced and released by the C-cells (parafollicular cells) in the thyroid gland. It plays a role in regulating calcium levels in the blood by reducing calcium levels when they are too high.
A. 3 Sec
B. 4 Sec
C. 18 Sec
D. 5 Sec
Correct Answer: D. 5 Sec
When neglecting the effect of air resistance, you can use the following kinematic equation to calculate the time it takes for a stone to fall from a certain height:
Distance=12×Acceleration×Time2Distance=21×Acceleration×Time2
In this case, the distance is 125 meters (height of the building), and the acceleration due to gravity (g) is given as 10 m/s^2. We need to find the time (t). Rearrange the equation to solve for time:
125 m=12×10 m/s2×Time2125m=21×10m/s2×Time2
Now, solve for Time:
Time2=2×125 m10 m/s2=25 s2Time2=10m/s22×125m=25s2
Taking the square root of both sides:
Time=25 s2=5 sTime=25s2=5s
A. 4 N
B. 25 N
C. 100 N
D. 1500 N
Correct Answer: A. 4 N
To calculate the magnitude of force required to stop a body with a certain momentum, you can use the formula for force:
Force=Change in MomentumTimeForce=TimeChange in Momentum
In this case, the initial momentum of the body is 100 kg m/s, and you want to stop it in 25 seconds, so the change in momentum is equal to the initial momentum because you want to bring it to rest:
Change in Momentum = Initial Momentum = 100 kg m/s
Time = 25 seconds
Now, plug these values into the formula:
Force=100 kg m/s25 s=4 NForce=25s100kg m/s=4N
So, the magnitude of force required to stop the body in 25 seconds is 4 N. Therefore, the correct answer is A. 4 N.