1.
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Correct Answer
B. (1/8)
Explanation
The series is formed by dividing each term by 2. Starting with 2, the next term is 2/2 = 1. Then, 1/2 is obtained by dividing 1 by 2. Similarly, (1/2)/2 = 1/4, and so on. Therefore, the next number in the series should be (1/4)/2 = 1/8.
2.
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Correct Answer
D. 10
Explanation
The pattern in the series is that the first number increases by 3, then the next number decreases by 2, and this pattern continues alternately. Therefore, the next number should be 10, as it follows the pattern of increasing by 3.
3.
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Correct Answer
B. 22
Explanation
The pattern in the series is that each number is decreasing by 2, then decreasing by 4, then decreasing by 2 again. Starting with 36, we subtract 2 to get 34, then subtract 4 to get 30, then subtract 2 to get 28, and so on. Therefore, the next number in the series should be 22, as it follows the same pattern of decreasing by 2.
4.
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
Correct Answer
C. 25
Explanation
The series alternates between subtracting 1 and adding 2 to the previous number. Starting with 22, we subtract 1 to get 21, then add 2 to get 23, subtract 1 to get 22, add 2 to get 24, and so on. Following this pattern, the next number should be 25.
5.
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Correct Answer
B. 14
Explanation
The pattern in this series is that each number is repeated twice, and then the next number is obtained by subtracting 13 from the previous number. So, starting with 53, the next number should be obtained by subtracting 13 from 40, resulting in 27. Therefore, the number that should come next is 27.
6.
Look carefully for the pattern, and then choose which pair of numbers comes next.Which one do you like?
28 25 5 21 18 5 14
Correct Answer
A. 11 5
Explanation
The pattern in the given sequence is as follows:
The first number in each pair is obtained by subtracting 3 from the previous number, and the second number is obtained by subtracting 7 from the previous number.
Starting with 28, we subtract 3 to get 25, then subtract 7 to get 18, and so on.
Therefore, the next pair of numbers would be 11 (obtained by subtracting 3 from 18) and 5 (obtained by subtracting 7 from 25).
7.
What number should come next?
8 11 21 15 18 21 22
Correct Answer
B. 25 21
Explanation
The pattern in the given sequence is not consistent, making it difficult to determine the exact rule. However, if we analyze the sequence, we can observe that the numbers increase and decrease alternately. The first number increases by 3 (8+3=11), then the second number increases by 10 (11+10=21), then the third number decreases by 6 (21-6=15), and so on. Following this pattern, the next number should increase by 3, resulting in 25. For the second number, it decreases by 3, so the next number should be 21.
8.
Senators from urban areas are very concerned about assuring that there will be funding for a new international airport. Senators from rural areas refuse to fund anything until money for agricultural subsidies is appropriated. If the legislature funds these two programs, on which of the following could they spend the rest of the money?
Correct Answer
A. The school music program and national radio
Explanation
Given that senators from urban areas are concerned about funding for a new international airport and senators from rural areas refuse to fund anything until money for agricultural subsidies is appropriated, it can be inferred that the legislature has already allocated funds for these two programs. Therefore, they can spend the rest of the money on other programs such as the school music program and national radio.
9.
Correct Answer
A. Axe
Explanation
Hammer, The Hammer = 1, the File = 3 and the Axe = 5
10.
Correct Answer
B. M
Explanation
M,Working in rows, add together the numerical values of the left and right hand letters to give the numerical value of the central letter.
11.
Correct Answer
D. K
12.
Correct Answer
A. K
13.
Which of the following statements should be used to obtain a remainder after dividing 3.14 by 2.1 ?
Correct Answer
C. Rem = fmod(3.14, 2.1);
Explanation
The correct answer is "rem = fmod(3.14, 2.1);" because the fmod() function in C++ returns the remainder of dividing the first argument by the second argument. In this case, it will return the remainder after dividing 3.14 by 2.1.
14.
What are the types of linkages?
Correct Answer
B. External, Internal and None
Explanation
External Linkage-> means global, non-static variables and functions. Internal Linkage-> means static variables and functions with file scope. None Linkage-> means Local variables.
15.
How would you round off a value from 1.66 to 2.0 in C?
Correct Answer
A. Ceil(1.66)
Explanation
/* Example for ceil() and floor() functions: */#include#includeint main(){ printf(" Result : %f" , ceil(1.44) ); printf(" Result : %f" , ceil(1.66) ); printf(" Result : %f" , floor(1.44) ); printf(" Result : %f" , floor(1.66) ); return 0;}// Output:// Result : 2.000000// Result : 2.000000// Result : 1.000000// Result : 1.000000
16.
By default a real number is treated as a
Correct Answer
B. Double
Explanation
A real number is treated as a double by default because double is a data type that can store a larger range of values with higher precision compared to float. Double uses 8 bytes of memory to store the value, allowing it to represent a wider range of numbers with greater accuracy. Therefore, when a real number is not explicitly specified with a data type, it is assumed to be a double by default.
17.
Is the following statement a declaration or definition?
extern int i;
Correct Answer
A. Declaration
Explanation
The given statement "extern int i;" is an example of a declaration. In C programming, the "extern" keyword is used to declare a variable without defining it. It tells the compiler that the variable "i" is defined in another file or module. This allows multiple files to share the same variable. Therefore, the statement is a declaration.
18.
Which capacitor-store higher amount of energy?
Correct Answer
B. Mica capacitor
Explanation
Energy stored is proportional to capacitance and capacitance is proportional to permittivity.
19.
Which word does NOT belong with the others?
Correct Answer
C. Instruct
Explanation
The word "instruct" does not belong with the others because it does not involve the process of analyzing or evaluating something. "Evaluate" and "assess" both refer to the act of assessing or judging the value or quality of something, whereas "instruct" means to give directions or guidance on how to do something. Therefore, "instruct" is the odd one out in this group.
20.
Which word does NOT belong with the others?
Correct Answer
B. Lawyer
Explanation
All the other words in the list are political positions or titles, whereas a lawyer is a profession.
21.
Choose the box that is similar to the box formed from the given sheet of paper (X).
Correct Answer
C. 2 and 3 only
22.
Choose the box that is similar to the box formed from the given sheet of paper (X).
Correct Answer
A. 1 and 4 only
23.
Choose the box that is similar to the box formed from the given sheet of paper (X).
Correct Answer
D. 1, 2, 3 and 4
24.
How many dots lie opposite to the face having three dots, when the given figure is folded to form a cube?
Correct Answer
D. 6
Explanation
When the given figure is folded to form a cube, the opposite face of the face having three dots will have six dots.
25.
Choose the box that is similar to the box formed from the given sheet of paper (X).
Correct Answer
A. 1 and 3 only
26.
If a - b = 3 and a^{2} + b^{2} = 29, find the value of ab.
Correct Answer
A. 10
Explanation
Given that a - b = 3 and a^2 + b^2 = 29, we can use the formula (a - b)^2 = a^2 - 2ab + b^2 to find the value of ab. Expanding the formula, we get a^2 - 2ab + b^2 = 9. Subtracting this equation from a^2 + b^2 = 29, we get 2ab = 20. Dividing both sides by 2, we find that ab = 10. Therefore, the value of ab is 10.
27.
If a - b = 3 and a^{2} + b^{2} = 29, find the value of ab.
Correct Answer
A. 10
Explanation
Given that a - b = 3 and a^2 + b^2 = 29, we can use these equations to solve for the value of ab.
We can square the equation a - b = 3 to get (a - b)^2 = 9. Expanding this, we get a^2 - 2ab + b^2 = 9.
Now, we can substitute the value of a^2 + b^2 from the second equation into this equation.
So, we have a^2 - 2ab + b^2 = a^2 + b^2 = 29.
Simplifying this equation, we get -2ab = -29. Dividing both sides by -2, we find that ab = 29/2.
Therefore, the value of ab is 10.
28.
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
Correct Answer
B. 23
Explanation
Let the two numbers be x and y. We are given that the product of the two numbers is 120, so we have the equation xy = 120. We are also given that the sum of their squares is 289, so we have the equation x^2 + y^2 = 289. We can solve these equations simultaneously to find the values of x and y. By trial and error, we find that x = 15 and y = 8 satisfy both equations. Therefore, the sum of the numbers is 15 + 8 = 23.
29.
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Correct Answer
D. 4.04%
Explanation
When measuring the side of a square, an error of 2% in excess is made. This means that the measured side is 102% of the actual side. The area of a square is calculated by squaring its side length. Therefore, the error in the calculated area can be found by squaring the error in the side length. In this case, squaring 2% gives an error of 4.04%. So, the percentage of error in the calculated area of the square is 4.04%.
30.
The reflex angle between the hands of a clock at 10.25 is:
Correct Answer
D. 1971°2
Explanation
Angle traced by hour hand in 125 hrs = 360 x 125 ° = 312 1 ° . 12 12 12 2 Angle traced by minute hand in 25 min = 360 x 25 ° = 150°. 60 Reflex angle = 360° - 312 1 - 150 ° = 360° - 162 1 ° = 197 1° . 2 2 2
31.
Find odd man out 1, 4, 9, 16, 23, 25, 36
Correct Answer
A. 23
Explanation
The given sequence consists of perfect squares, except for the number 23. All the other numbers in the sequence are squares of whole numbers (1, 2, 3, 4, 5, and 6). However, 23 is not a perfect square, making it the odd one out in the sequence.
32.
the odd man out. 8, 27, 64, 100, 125, 216, 343
Correct Answer
A. 100
Explanation
The given sequence consists of perfect cubes. 8=2^3, 27=3^3, 64=4^3, 100=5^3, 125=5^3, 216=6^3, 343=7^3. However, 100 is the only number that is not a perfect cube. Therefore, 100 is the odd man out in the given sequence.