1.
If a = 1, b = 2, c = 3.......z = 26 what is the value of p+q+r ?
Correct Answer
B. 51
Explanation
The value of p+q+r can be found by substituting the corresponding values for p, q, and r in the given equation. Since p = 16, q = 17, and r = 18, the sum of these values would be 16 + 17 + 18 = 51.
2.
A is 8 miles east of B.C is 10 miles north of B.D is 13 miles east of C and E is 2 miles north of D.Find shortest distance between A and E.
Correct Answer
C. 13 miles
Explanation
To find the shortest distance between A and E, we can draw a diagram. A is 8 miles east of B, so we can mark A 8 miles to the right of B. C is 10 miles north of B, so we can mark C 10 miles above B. D is 13 miles east of C, so we can mark D 13 miles to the right of C. Finally, E is 2 miles north of D, so we can mark E 2 miles above D. By connecting A and E, we can see that the shortest distance between them is a straight line that connects A and E, which measures 13 miles. Therefore, the correct answer is 13 miles.
3.
There are 30 socks in a bag. Out of these 60 % are green and the rest are blue. What is the maximum number of times that socks have to be taken out so that atleast 1 blue pair is found.
Correct Answer
D. 20
Explanation
To find the maximum number of times socks have to be taken out to find at least 1 blue pair, we need to consider the worst-case scenario. Since 60% of the socks are green, the remaining 40% must be blue. To ensure we find at least 1 blue pair, we need to take out all the green socks first. So, we would need to take out 60% of 30 socks, which is 18 socks, to guarantee that we have taken out all the green socks. After taking out the green socks, the next sock we pick will definitely be blue, giving us our first blue pair. Therefore, the maximum number of times socks have to be taken out is 18 + 1 = 19.
4.
How many two digit numbers have their square ending with 8.
Correct Answer
C. 0
Explanation
None of the two-digit numbers have their square ending with 8. The square of any number ending with 0, 1, 4, 5, 6, or 9 will end with 0, 1, 6, 5, 6, or 1 respectively. Therefore, the answer is 0.
5.
What is twenty percent of 25 % of 20.
Correct Answer
B. 1
Explanation
To find twenty percent of 25% of 20, we first calculate 25% of 20, which is 5. Then, we find 20% of 5, which is 1. Therefore, the correct answer is 1.
6.
A, e, i, m, q, u, _, _
Correct Answer
A. Y, c
Explanation
The given sequence follows a pattern where each letter is the fifth letter after the previous one in the English alphabet. Starting with "a", the next letter is "e", then "i", "m", "q", "u". Following this pattern, the next letter would be "y" and the one after that would be "c".
7.
1, 2, 3, 5, 7, 11, __
Correct Answer
C. 13
Explanation
series of prime numbers
8.
How is my mother's sister's brother's wife's child related to me?
Correct Answer
C. Cousin
Explanation
The person in question is the child of my mother's sister's brother's wife. This means that the person is the child of my mother's sibling's spouse. Since the person is the child of my mother's sibling's spouse, they would be my cousin.
9.
The sum of three consecutive numbers is 132. Find the square of the largest number.
Correct Answer
D. 2025
Explanation
Let the first number be x. The next two consecutive numbers will be x+1 and x+2. According to the given information, x + (x+1) + (x+2) = 132. Simplifying this equation, we get 3x + 3 = 132, which gives x = 43. Therefore, the largest number is 45. The square of 45 is 2025.
10.
Father,s age is five times his son,s age. Four years back father was 9 times older than his son.Find their present ages
Correct Answer
C. 40yrs, 8yrs
Explanation
The correct answer is 40 years and 8 years. The father's age is five times his son's age, so let's assume the son's age is x. This means the father's age is 5x. Four years back, the father was 9 times older than his son, so we can set up the equation 5x - 4 = 9(x - 4). Solving this equation, we get x = 4. Therefore, the son's present age is 4 years, and the father's present age is 5 * 4 = 20 years.
11.
37. In how many years will $1200 amount to $1323 at 5%p.a. compound interest?
Correct Answer
C. 2 yrs
Explanation
The correct answer is 2 years because compound interest is calculated by the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the principal amount is $1200, the final amount is $1323, the annual interest rate is 5%, and the interest is compounded annually. By substituting these values into the formula, we can solve for t and find that it takes 2 years for $1200 to amount to $1323.
12.
How many terms of the series -9 , -6 , -3 ,.........must be taken such that the sum may be 66?
Correct Answer
A. 11
Explanation
To find the sum of a series, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the series, a is the first term, n is the number of terms, and d is the common difference. In this case, the first term is -9 and the common difference is 3. We need to find the value of n that makes Sn equal to 66. Plugging in the values, we get 66 = (n/2)(2(-9) + (n-1)3). Simplifying the equation, we get -9n + 3n^2 - 3n + 6 = 0. Solving for n, we find that n = 11. Therefore, 11 terms must be taken in order for the sum to be 66.
13.
How long will a train 150 metres long and travelling at a speed of 45 kmph, take to cross a platform of length 250 meters?
Correct Answer
B. 32 secs
Explanation
The train's length and the platform's length are given. To calculate the time it takes for the train to cross the platform, we need to consider the relative speed between the train and the platform. The train is traveling at a speed of 45 kmph, which is equivalent to 45 * (5/18) m/s. The total distance the train needs to cover is the sum of its own length and the platform's length, which is 150 + 250 = 400 meters. Dividing the total distance by the relative speed gives us the time taken, which is 400 / (45 * (5/18)) = 32 seconds. Therefore, the correct answer is 32 secs.
14.
Walking at 4/5th of his usual speed, a man reaches his office 15 mins late. Find his usual time for reaching the office?
Correct Answer
C. 1 hr
15.
If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678, then the code for the word "MANGO" would be
Correct Answer
D. 82347
Explanation
To find the code for the word "MANGO" based on the given coding scheme:
"RANGE" is coded as 12345
"RANDOM" is coded as 123678
Let's analyze the pattern:
The letters correspond to their positions in the alphabet.
Each letter position from the word correlates to the number.
Now, know had are even so had also so MANGOs so even Therefore so had would so
Apologies for the confusion in the previous response. Let's decipher the coding pattern based on the examples provided:
From "RANGE":
R = 1
A = 2
N = 3
G = 4
E = 5
From "RANDOM":
R = 1
A = 2
N = 3
D = 6
O = 7
M = 8
Now, applying the same pattern to "MANGO":
M = 8
A = 2
N = 3
G = 4
O = 7
Therefore, the code for "MANGO" would be 82347.
So, the correct answer is:
82347