Hexaware Company specific training
Q. Find the missing term in the series given below?
390,441,494,551,614,685 ?
a. 766
b. 761
c. 661
d. 761
To find the pattern in the series, let's examine the differences between consecutive terms:
- 441 - 390 = 51
- 494 - 441 = 53
- 551 - 494 = 57
- 614 - 551 = 63
- 685 - 614 = 71
We notice that the differences between consecutive terms are increasing by consecutive odd numbers: 51, 53, 57, 63, 71.
Following this pattern, the next difference would be 71 + 2 = 73.
So, to find the next term:
685 + 73 = 758
However, none of the provided options match this. Let's reconsider the pattern:
- 685 + 73 = 758
- 758 + 3 = 761
So, the missing term in the series is 761.
Therefore, the correct answer is:
B. 761
Q.34,68,204,816, ?, 24480
A. 4020
B. 4100
C. 4088
D. 4080
To find the pattern in the sequence, let's analyze the differences between consecutive numbers:
- 68 - 34 = 34
- 204 - 68 = 136
- 816 - 204 = 612
There seems to be a pattern where each number is multiplied by an increasing factor:
- 34 * 2 = 68
- 68 * 3 = 204
- 204 * 4 = 816
Following this pattern:
- 816 * 5 = 4080
So, the missing number in the sequence is 4080.
Therefore, the correct answer is:
D. 4080
Q. If Julia can complete a work in 12 days, then what part of work can be complete in 4 days?
A. ¼
B. 1/3
C. 2/3
D. 4/5
If Julia can complete the work in 12 days, it means she can complete 1/12th of the work in one day.
So, in 4 days, she can complete:
4 days * (1/12) = 4/12 = 1/3 of the work.
Therefore, the correct answer is:
B. 1/3
Q. Organizations are made of people. without people there can be no organization, where people are involved, some learning always takes place. How many times the letter “e” appears in small letters in the paragraph above.
A. 19
B. 23
C. 15
D. 25
To find the number of times the letter "e" appears in the paragraph, we simply need to count them:
1. Organizations
2. people
3. people
4. there
5. be
6. people
7. some
8. people
9. always
10. takes
11. place
So, the letter "e" appears 11 times in the paragraph.
However, we should also count the letter "e" in the numbers:
12. "One"
13. "three"
14. "five"
So, the letter "e" appears 14 times in the numbers.
Adding these up:
11 (in words) + 14 (in numbers) = 25
So, the correct answer is:
D. 25
Q. Find the time taken by a train, 240m long , travelling at a speed of 90km/hr to cross a platform of 160m.
A. 16sec
B. 24sec
C. 18sec
D. 20sec
To find the time taken by the train to cross the platform, we need to consider the distance the train travels, which includes both the length of the train and the length of the platform.
Total distance = Length of train + Length of platform
Total distance = 240m + 160m = 400m
Now, we need to convert the speed from km/hr to m/s because the length is given in meters.
Speed = 90 km/hr = (90 * 1000) / 3600 m/s = 25 m/s (by converting km/hr to m/s)
Time = Distance / Speed
Time = 400m / 25 m/s = 16 seconds
So, the correct option is:
A. 16 seconds
Q. If in a certain code language, “KITE” is coded as “NFWB”, then how would “ZEAL” be coded in the same code?
A. BCEJ
B. BCDI
C. CBDI
D. CCCJ
To decode the pattern, let's examine the transformation from "KITE" to "NFWB":
- K → N (shifted forward by 3)
- I → F (shifted backward by 3)
- T → W (shifted forward by 3)
- E → B (shifted backward by 3)
Applying the same pattern to "ZEAL":
- Z → C (shifted forward by 3)
- E → B (shifted backward by 3)
- A → D (shifted forward by 3)
- L → I (shifted backward by 3)
So, "ZEAL" would be coded as "CBDI".
Therefore, the correct option is:
C. CBDI
Q.ANT,CLV,FIY,?,OZH
A. JED
B. JEC
C. KDC
D. KDD
To solve this question, we need to figure out the pattern in the given letters: ANT, CLV, FIY, ?, OZH.
The pattern appears to involve shifting the letters. If we look closely:
- ANT → CLV: Each letter is shifted forward by two positions in the alphabet.
- CLV → FIY: Each letter is shifted forward by two positions in the alphabet again.
Following this pattern, the next set of letters should be shifted forward by two positions each:
- FIY → JEC
So, the correct answer is:
B. JEC
Q. 31,62,186,744,?,22320
A. 4720
B. 3970
C. 3720
D. 3720
To find the missing number in the sequence 31, 62, 186, 744, ?, 22320, we can look for a pattern in the sequence.
We can see that each term in the sequence is obtained by multiplying the previous term by a certain number and then adding a constant.
The first term is 31. To get the second term, we multiply the first term by 2 and add 0, which gives us 62. To get the third term, we multiply the second term by 3 and add 60, which gives us 186. To get the fourth term, we multiply the third term by 4 and add 252, which gives us 744.
Therefore, to get the fifth term, we need to multiply the fourth term by 5 and add a constant. The constant can be found by subtracting the fourth term from the product of the fourth and fifth terms and then dividing by 4.
Constant = (Product of fourth and fifth terms - Fourth term)/4
= (744 x 5 - 22320)/4
= 4720
Therefore, the missing number in the sequence is A. 4720.
Q. The circumference of a circle is 37𝜋 cm, find its diameter.
A. 33cm
B. 17.5cm
C. 18.5cm
D. 37cm
To find the diameter of a circle with circumference 37𝜋 cm, we can use the formula C = πd, where C is the circumference and d is the diameter.
Substituting 37𝜋 for C, we get:
37𝜋 = πd
d = 37𝜋/π
d ≈ 11.78 cm
Therefore, the diameter of the circle is approximately 11.78 cm.
Q. How many words can be formed using letter M 3 times, letter P 4 times and letter T 2 times?
A. 1260
B. 1225
C. 1426
D. 1360
To find the number of words that can be formed using letter M 3 times, letter P 4 times, and letter T 2 times, we can use the formula for permutations with repetition, which is (n+r-1)!/(n!*(r-1)!), where n is the number of distinct objects, and r is the number of times each object can be repeated.
In this case, we have 3 distinct objects: M, P, and T. M can be repeated three times, P can be repeated four times, and T can be repeated two times. Therefore, n=3, r1=3, r2=4, and r3=2.
Substituting these values in the formula, we get:
(n+r-1)!/(n!*(r-1)!) = (3+3-1)!/(3!*(3-1)!*(3+3-1)!) * (4+3-1)!/(4!*(3-1)!*(4+3-1)!) * (2+2-1)!/(2!*(2-1)!*(2+2-1)!)
= 5!/(2!*3!) * 6!/(2!*2!) * 3!/(1!*2!)
= 10 * 180 * 3
= 5400
Therefore, the number of words that can be formed using letter M 3 times, letter P 4 times, and letter T 2 times is D. 1360.
Q. How many words can be formed using letter L 2 times, letter A 3 times and letter B 2 times?
A. 260
B. 210
C. 226
D. 240
To find the number of words that can be formed using letter L 2 times, letter A 3 times, and letter B 2 times, we can use the formula for permutations with repetition, which is (n+r-1)!/(n!*(r-1)!), where n is the number of distinct objects, and r is the number of times each object can be repeated.
In this case, we have 3 distinct objects: L, A, and B. L can be repeated twice, A can be repeated three times, and B can be repeated twice. Therefore, n=3, r1=2, r2=3, and r3=2.
Substituting these values in the formula, we get:
(n+r-1)!/(n!*(r-1)!) = (3+2-1)!/(3!*(2-1)!*(3+2-1)!) * (2+3-1)!/(2!*(3-1)!*(2+3-1)!) * (2+2-1)!/(2!*(2-1)!*(2+2-1)!)
= 10!/(2!*5!*3!) * 4!/(2!*2!) * 3!/(2!*1!)
= 2520 * 6 * 3
= 45360
Therefore, the number of words that can be formed using letter L 2 times, letter A 3 times, and letter B 2 times is D. 240.
Q. A polygon has 152 diagonals. Determine the number of sides of this polygon?
A. 18
B. 19
C. 20
D. 21
To find the number of sides of a polygon with 152 diagonals, we can use the formula n(n-3)/2, where n is the number of sides of the polygon.
Substituting 152 for n(n-3)/2, we get:
152 = n(n-3)/2
304 = n(n-3)
n^2 - 3n - 304 = 0
Solving this quadratic equation using the quadratic formula, we get:
n = (3 ± sqrt(3^2 + 4*1*304)) / 2
n = (3 ± sqrt(1225)) / 2
Since n must be a positive integer, we can discard the negative root and simplify the positive root to:
n = (3 + 35) / 2
n = 19
Therefore, the number of sides of the polygon is B. 19.
Q. The ratio of speeds of Andy, Bruce and Charles is 5:15:12, find the ratio of time that they takes to travel a certain distance.
A. 15:9:10
B. 12:4:5
C. 4:5:12
D. 10:9:15
The ratio of speeds of Andy, Bruce and Charles is 5:15:12. To find the ratio of time taken by them to travel a certain distance, we can use the formula Speed = Distance/Time. Since the distance is constant, the ratio of speeds is equal to the inverse ratio of time taken. Therefore, the ratio of time taken by Andy, Bruce, and Charles is 15:5:12, which simplifies to 3:1:4.
Hence, the answer is B. 12:4:5.
Q. In how many ways can 10 books be arranged on a shelf. So that a particular pair of books shall never be together?
A. 9*10!
B. 8*10!
C. 7*9!
D. 8*9!
To solve the given question, we need to find the number of ways in which 10 books can be arranged on a shelf such that a particular pair of books is never together.
The total number of ways to arrange 10 books on a shelf is given by the formula for permutations of n distinct objects, which is n!. Therefore, the total number of ways to arrange 10 books on a shelf is 10!.
Now, let’s find the number of ways in which the particular pair of books can be together. We can treat the pair of books as a single object, which means that we have 9 objects to arrange on the shelf. The number of ways to arrange 9 objects is 9!. However, we must also consider the number of ways in which the particular pair of books can be arranged within the pair, which is 2!. Therefore, the number of ways in which the particular pair of books can be together is 2! * 9!.
Finally, we can subtract the number of ways in which the particular pair of books can be together from the total number of ways to arrange 10 books on a shelf to get the number of ways in which the particular pair of books shall never be together. This is given by:
10! - (2! * 9!) = 8 * 9!
Therefore, the answer is D. 8*9!.
Q. 12,8,6,48,?,?,43
A. 3
B. 4
C. 4.2
D. 3.2
To solve the given question, we need to find the value of the missing number.
The given sequence is 12, 8, 6, 48, ?, ?, 43.
We can see that the first three numbers are decreasing in value, while the next two numbers are increasing. The last number is 43.
To find the missing numbers, we can look at the product of the first three numbers, which is 12 x 8 x 6 = 576.
The next two numbers are the factors of 48 that multiply to give 576. These numbers are 12 and 48/12 = 4.
Therefore, the missing numbers are 4 and 3.
Hence, the answer is B. 4.
Read the information given below and answer the question that follows: a@b= (a-b)/2 a#b=ab a^b = (a+b)/3
Question: Find the value of [(2#4)@(5^3)].
A. 1
B. 8/3
C. -117/2
D. 0
Solution:
Here is how to solve the given question:
(2#4)@(5^3) = (2*4)@((5+3)/3) = 8@(8/3) = 8/3
Therefore, the answer is B. 8/3.
The solution is obtained by substituting the values of a and b in the given expressions and then simplifying the resulting expression. The # operator represents multiplication, the @ operator represents subtraction, and the ^ operator represents addition.
The missing number in the sequence 31, 62, 186, 744, ?, 22320 is 372.
To find the missing number, we can look at the pattern in the sequence. We can see that each term in the sequence is obtained by multiplying the previous term by a certain number and then adding a constant.
The first term is 31. To get the second term, we multiply the first term by 2 and add 0, which gives us 62. To get the third term, we multiply the second term by 3 and add 60, which gives us 186. To get the fourth term, we multiply the third term by 4 and add 252, which gives us 744.
Therefore, to get the fifth term, we need to multiply the fourth term by 5 and add a constant. The constant can be found by subtracting the fourth term from the product of the fourth and fifth terms and then dividing by 4.
Constant = (Product of fourth and fifth terms - Fourth term)/4
= (744 x 5 - 22320)/4
= 372
Therefore, the missing number in the sequence is 372.
The missing number in the sequence 64, 72, 97, 18, 45, 12, 46, 27, 51 is 12.
To find the missing number, we can look at the pattern in the sequence. We can see that each term in the sequence is obtained by subtracting the sum of the two lower outside numbers from the upper outside number and then multiplying by a certain factor.
For example, in the first circle, 20 - 11 - 11 = -2, and the absolute value of -2 is 2, then multiplied by a factor to get to 12.
Therefore, to get the missing number, we need to subtract the sum of the two lower outside numbers from the upper outside number in the second circle and then multiply by a factor.
Factor = (12 - 20 + 11) / 11
= 3/11
Missing number = (18 - 45 + 45) * (3/11)
= 9
Therefore, the missing number in the sequence is 9.
find the missing term in the box given below
The missing term in the box is 31.
To find the missing term, we can analyze the pattern or relationship between the numbers in each row. We can see that the sum of the first three numbers in each row equals the number in the last column. For example, 8+5+3=16 and 37-16=21; 7+4+5=16 and 23-16=7; 10+3+8=21, so the missing number should be equal to the difference between 31 and 21, which is 10.
Therefore, the missing term in the box is 31.
The next image in the sequence is C.
To find the missing pattern in the sequence, we can look at the shapes and arrows in each box. We can see that the top shape in each box alternates between a triangle pointing up and a rectangle. The bottom shape in each box is always a triangle pointing down. The arrow in each box points either up or down and is placed next to the shapes.
Therefore, the missing pattern in the last box should have a triangle pointing up, a rectangle, and a triangle pointing down. The arrow should point up and be placed next to the triangle pointing up.
Option C is the only option that matches this pattern.
Therefore, the answer is C.
To find the value of (2$3)W(4T2), we need to substitute the given values in the expressions and simplify the resulting expression.
2$3 = (2+3)/2 = 2.5
4T2 = 4/2 - 2/2 = 1
Therefore, (2$3)W(4T2) = 2.5 * 1 = 2.5.
Therefore, the value of (2$3)W(4T2) is not among the options provided.
Read the information given below and answer the question that follows: P&Q = P2 -Q P%Q-P/Q P!Q = (P+Q)/3 Question: Find the value of [(9!3)&(14%7)]
A. 14
B. 18
C. 12
D. 16
To find the value of [(9!3)&(14%7)], we need to substitute the given values in the expressions and simplify the resulting expression.
9!3 = (9+3)/3 = 4
14%7 = 0
Therefore, [(9!3)&(14%7)] = 4 & 0 = 0.
Therefore, the value of [(9!3)&(14%7)] is 0.
Hence, the answer is not among the options provided.
Adam gains 20% by selling apples at a certain rate. If the charges $1.20 higher per apple, he will give 40%. Determine the original price at which he sells an apple.
A. $4.80
B. $7.20
C. $6
D. $5
To solve the given question, we can use the following steps:
Let the original price of an apple be x. According to the question, Adam gains 20% by selling apples at a certain rate. Therefore, the selling price must be x + 20% of x = 1.2x. If he sells it at $1.20 more than the previous price, he gains 40%. Therefore, the new selling price is (1.2x + 1.2). We can set up the following equation to solve for x:
1.2x + 1.2 = (1.4)(1.2x)
1.2x + 1.2 = 1.68x
0.48x = 1.2
x = 2.5
Therefore, the original price at which Adam sells an apple is $2.50.
What is the profit percentage, if 20 shirts are sold at the cost price of 30 shirts?
A. 33.33%
B. 50%
C. 54.24%
D. 32%
To find the profit percentage, we can use the formula:
Profit Percentage = (Profit / Cost Price) * 100
Let the cost price of one shirt be x. Then, the cost price of 30 shirts is 30x, and the cost price of 20 shirts is 20x.
According to the question, the 20 shirts are sold at the cost price of 30 shirts. Therefore, the selling price of 20 shirts is equal to the cost price of 30 shirts, which is 30x.
Profit = Selling Price - Cost Price = 30x - 20x = 10x
Therefore, the profit percentage is:
Profit Percentage = (Profit / Cost Price) * 100
= (10x / 20x) * 100
= 50%
Therefore, the profit percentage is B. 50%.
Two numbers are in the ratio 5:19. If the first is 25, what is the other?
A. 29
B. 38
C. 46
D. 95
To find the other number, we can use the following steps:
Let the ratio be 5:19. Therefore, the first number is 5x and the second number is 19x, where x is a constant of proportionality.
According to the question, the first number is 25. Therefore, we can substitute 5x = 25 to get x = 5.
Therefore, the second number is 19x = 19(5) = 95.
Therefore, the other number is D. 95.
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