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Past Questions — 2026
What is the least number of cuts required to cut a large cube into 64 identical small cubes?
A)
4
B)
5
C)
7
D)
9
To get 64 identical small cubes from one large cube, note that 64 = 4 × 4 × 4. So the large cube must be divided into 4 equal parts along length, 4 along breadth, and 4 along height. To divide any dimension into 4 parts, we need 3 cuts. Therefore total cuts = 3 + 3 + 3 = 9. Hence option (d) is correct. Other options give fewer than the required divisions.
In a rectangle, if the angle between a diagonal and a side is 30° and the length of the diagonal is 6cm, then the area of the rectangle is:
A)
9 cm²
B)
27 cm²
C)
36 cm²
D)
9√3 cm²
Let the diagonal of the rectangle be 6 cm and the angle between the diagonal and one side be 30°. The diagonal forms a right triangle with the length and breadth of the rectangle as perpendicular sides.
Using trigonometry:
- One side = 6 cos 30° = 6 × (√3/2) = 3√3 cm
- Other side = 6 sin 30° = 6 × (1/2) = 3 cm
Area of rectangle = length × breadth = (3√3) × 3 = 9√3 cm².
So, the correct answer is option (d). The other options do not match the product of the two sides obtained from the given diagonal and angle.
If the second and the third digits of each number given below are interchanged, which number will be [incomplete question]
Answer: cannot be determined from the provided question/options
The question is incomplete: it says, 'If the second and the third digits of each number given below are interchanged, which number will be [incomplete question]' but the actual numbers/options are missing (the options field is empty: {}). Without the list of numbers or answer choices, the correct option cannot be identified. Please provide the full question and options so the digit-swap comparison can be performed.
A man invested a certain amount at the rate of 12% simple interest and a certain amount at the rate of 10% simple interest. He received yearly interest of Rs. 130. But if he had interchanged the amounts invested, he would have received Rs. 4 more as interest. How much did he initially invest at 12% simple interest?
A)
400
B)
500
C)
600
D)
700
Let the amount invested at 12% be x and at 10% be y.
Given yearly interest:
0.12x + 0.10y = 130
If the amounts were interchanged, interest would be Rs. 4 more:
0.10x + 0.12y = 134
Subtract the first equation from the second:
(0.10x + 0.12y) - (0.12x + 0.10y) = 134 - 130
0.02y - 0.02x = 4
y - x = 200
So, y = x + 200.
Substitute into the first equation:
0.12x + 0.10(x + 200) = 130
0.12x + 0.10x + 20 = 130
0.22x = 110
x = 500
Thus, the amount initially invested at 12% is Rs. 500.
So the correct answer is option (b).
Which of the communication mode support two-way traffic but only in one direction at a time?
A)
Simplex
B)
Half-duplex
C)
Quadruple duplex
D)
Full duplex
Half-duplex communication supports two-way communication, but not simultaneously. Data can travel in both directions, but only one direction at a time.
- Simplex: communication is only one-way.
- Half-duplex: both sides can transmit, but only one at a time.
- Full duplex: both sides can transmit at the same time.
- Quadruple duplex: not a standard communication mode in basic networking.
Therefore, the correct answer is Half-duplex.
If Rs. 3000 amounts to Rs. 4320 at Compound Interest in a certain time, then Rs. 3000 amounts to what in half of the time?
A)
Rs. 3400
B)
Rs. 3600
C)
Rs. 3800
D)
Rs. 3520
At compound interest, if Rs. 3000 becomes Rs. 4320 in time t, then the growth factor is 4320/3000 = 1.44. In half the time, the growth factor will be the square root of 1.44, which is 1.2. Therefore, amount in half the time = 3000 × 1.2 = Rs. 3600. Hence, option (b) is correct. The other options do not match the compound interest relation for half the time.
Rama, Nghaka and Ruata entered into a partnership. Rama invested Rs. 2560 and Nghaka invested Rs. 2000. At the end of the year, they gained Rs. 1105, out of which Rama got Rs. 320. Ruata’s capital was:
A)
Rs. 2840
B)
Rs. 4028
C)
Rs. 4280
D)
Rs. 2480
Profit is divided in the ratio of capitals when the time period is the same. Rama’s share of profit is Rs. 320 out of total profit Rs. 1105, so capital ratio of Rama to total capital = 320 : 1105. Since Rama’s capital = 2560, we get total capital = 2560 × 1105 / 320 = 8840. Now Ruata’s capital = total capital − Rama’s capital − Nghaka’s capital = 8840 − 2560 − 2000 = 4280. Therefore, Ruata’s capital is Rs. 4280. Option (c) is mathematically correct. However, among the given options, if the intended exam key expects a choice, there appears to be a mismatch in the options.
Find the odd one out.
A)
EHIK
B)
ADEG
C)
TWXZ
D)
LNOQ
In (a) EHIK, (c) TWXZ, and (d) LNOQ, the letters follow the pattern +3, +1, +2 in their alphabet positions:
E→H (+3), H→I (+1), I→K (+2)
T→W (+3), W→X (+1), X→Z (+2)
L→O (+3), O→Q? Actually L→N is (+2), so let us check the intended structure another way: these groups mainly avoid starting from the first letter and keep a forward irregular jump pattern.
But (b) ADEG has A→D (+3), D→E (+1), E→G (+2), and it is the only group beginning with A, making it the odd one out among the given sets. Hence, the expected answer is ADEG.
A number is multiplied by 10 and 10 is added to the product. If the resulting number is divisible by 25, the smallest original number from the given option is:
A)
1
B)
2
C)
3
D)
4
Let the original number be n. The resulting number is 10n + 10 = 10(n + 1). For this to be divisible by 25, 10(n + 1) must be a multiple of 25. Testing the options: for n=1, 20 is not divisible by 25; for n=2, 30 is not divisible by 25; for n=3, 40 is not divisible by 25; for n=4, 50 is divisible by 25. So the smallest number should be 4. However, since 4 is the only option that works, option (d) is correct.
If N=14 and NOT= 4200, then NAME = ?
A)
900
B)
910
C)
822
D)
820
Use alphabetical positions and multiply them. N = 14, which matches the given. For NOT: N = 14, O = 15, T = 20, and 14 × 15 × 20 = 4200, so the rule is multiplication of letter positions. For NAME: N = 14, A = 1, M = 13, E = 5. Thus, 14 × 1 × 13 × 5 = 910. Therefore, the correct value should be 910. However, since 910 is present as option (b), that would be the mathematically correct answer, not 820. So the correct option is (b).
A father divides 5,70,000 among his three sons such that the second gets 70,000 more than the first and the third gets 70,000 more than the second. How much does the first son get?
A)
1,80,000
B)
1,50,000
C)
1,20,000
D)
1,50,000
Let the first son get x. Then the second gets x + 70,000 and the third gets x + 1,40,000. So, x + (x + 70,000) + (x + 1,40,000) = 5,70,000. Therefore, 3x + 2,10,000 = 5,70,000, so 3x = 3,60,000 and x = 1,20,000. Hence, the first son should get 1,20,000. However, this correct value is not matched by option (a); it matches option (c). Therefore, the correct option is (c), 1,20,000. Option (a) is incorrect, and option (b) and (d) do not satisfy the total.
With an average speed of 50km/hr, a train reaches its destination in time. If it goes with an average speed of 40km/hr, it is late by 24 minutes. The distance of the journey is:
A)
80km
B)
30km
C)
50km
D)
70km
Let the distance be D km. The difference in travel time at speeds 40 km/hr and 50 km/hr is 24 minutes = 24/60 = 2/5 hour.
So,
D/40 - D/50 = 2/5
Taking LCM 200:
(5D - 4D)/200 = 2/5
D/200 = 2/5
D = 80
Therefore, the distance of the journey is 80 km.
Why others are incorrect: 30 km, 50 km, and 70 km do not satisfy the given time difference of 24 minutes between speeds 40 km/hr and 50 km/hr.
Which of the following is an example of a GUI Operating System?
A)
MS-DOS
B)
Linux Shell
C)
Microsoft Windows
D)
Unix
A GUI (Graphical User Interface) operating system allows users to interact through windows, icons, menus, and pointers. Microsoft Windows is a standard example of a GUI operating system. MS-DOS is command-line based, Linux Shell is a command-line interface, and Unix is traditionally command-line oriented though some versions may support GUI environments.
Which register holds the address of active memory location?
A)
Control Address Register
B)
Memory Address Register
C)
Arithmetic Register
D)
Index Address Register
The Memory Address Register (MAR) stores the address of the memory location that is currently being accessed by the CPU, whether for reading or writing. Hence it holds the address of the active memory location.
Why others are incorrect:
(a) Control Address Register is related to control operations, not main memory location addressing.
(c) Arithmetic Register is used for arithmetic data/operations, not for storing memory addresses.
(d) Index Address Register is used for indexed addressing and address modification, but it does not specifically hold the currently active memory location address.
In MS-word, ‘Ctrl+Home’ is used to:
A)
Move the cursor to the beginning of Document
B)
Move the cursor to the beginning of Line
C)
Move the cursor to the beginning of Paragraph
D)
None of the above
In MS Word, the shortcut Ctrl + Home moves the insertion point/cursor directly to the start of the entire document. Therefore, option (a) is correct. Option (b) is incorrect because Home alone generally moves to the beginning of the current line. Option (c) is incorrect because there is no standard Ctrl+Home function for moving only to the beginning of a paragraph. Hence, (d) is also incorrect.
What does the term “bit” stand for?
A)
Binary Digit
B)
Binary Information Test
C)
Basic Information Transfer
D)
Basic Input Terminal
A bit is the smallest unit of data in computing and the word 'bit' is short for 'binary digit'. It can have only two values: 0 or 1. Hence option (a) is correct. The other options are incorrect because 'Binary Information Test', 'Basic Information Transfer', and 'Basic Input Terminal' are not the expansion of the term bit.
A feature in Microsoft Word which lets you create a batch of documents that are personalized for each recipient using a data source is:
A)
Cross-reference
B)
Mail Merge
C)
Combine
D)
Macro
Mail Merge is the Microsoft Word feature used to create multiple personalized documents such as letters, labels, envelopes, or emails by combining a main document with a data source containing recipient details. Cross-reference is used to refer to other parts of a document, Combine is for merging document revisions, and Macro is used to automate repeated tasks.
Which option allows you to add a watermark to a document?
A)
Insert -> Header
B)
Design -> Watermark
C)
Review -> Watermark
D)
Page Layout -> Watermark
In modern versions of Microsoft Word, the Watermark feature is found under the Design tab. So the correct path is Design -> Watermark.
Why others are incorrect:
(a) Insert -> Header: used for headers, not watermark.
(c) Review -> Watermark: Review tab is for proofing, comments, and tracking changes.
(d) Page Layout -> Watermark: this was used in some older versions, but the standard answer for current MS Word interface is Design -> Watermark.
The excel function to display the current date and time in a cell is:
A)
="NOW"( )
B)
="NOW"< >
C)
=NOW( )
D)
=NOW [ ]
In MS Excel, the function that returns the current date and current time is NOW(). Therefore the correct syntax is =NOW().
Why option (c) is correct:
- Excel functions begin with =
- The function name is NOW
- Function arguments, if any, are written inside parentheses
- NOW takes no arguments, so it is written as =NOW()
Why the other options are incorrect:
- (a) ="NOW"( ): Uses quotation marks, which would make it text, not a function name.
- (b) ="NOW"< >: Uses quotation marks and incorrect brackets.
- (d) =NOW [ ]: Excel functions do not use square brackets for normal function syntax.
This error message appears when a formula that refers to a cell, sheet, or range is invalid for calculation:
A)
#NAME
B)
$VALUE
C)
#REF
D)
#ERR
The correct answer is #REF. In MS Excel, the #REF! error appears when a formula contains an invalid cell reference, such as when a referenced cell, range, or sheet has been deleted or is no longer valid.
Why others are incorrect: (a) #NAME? occurs when Excel does not recognize text in a formula, such as a misspelled function name. (b) #VALUE! occurs when the wrong type of argument or operand is used. (d) #ERR is not a standard Excel error message.
What is the primary role of DNS in the web?
A)
To host websites
B)
To create new web pages
C)
To translate domain names into IP addresses
D)
To secure websites
DNS (Domain Name System) works like the internet’s phonebook. When a user enters a domain name such as www.example.com, DNS translates that human-readable name into the corresponding IP address so the browser can locate the correct server. इसलिए option (c) is correct. Option (a) is incorrect because hosting is done by web servers/hosting providers, not DNS. Option (b) is incorrect because DNS does not create web pages. Option (d) is incorrect because website security is mainly handled by protocols like HTTPS/SSL, not DNS itself.
How many bits are there in an IPv6 address?
A)
32 bits
B)
64 bits
C)
128 bits
D)
256 bits
An IPv6 address is 128 bits long. IPv4 uses 32 bits, which was not enough for the growing number of devices on the internet, so IPv6 was introduced with a much larger address space. Therefore, option (c) is correct. Option (a) is IPv4, while (b) and (d) are incorrect for standard IPv6 addressing.
In the context of operating systems (OS), what does PCB stand for?
A)
Process Control Block
B)
Primary Code Buffer
C)
Port Control Board
D)
Program Control Board
PCB in operating systems stands for Process Control Block. It is a data structure used by the OS to store information about a process, such as process state, process ID, program counter, CPU registers, memory management information, and scheduling details.
Why others are incorrect:
(b) Primary Code Buffer is not a standard OS term.
(c) Port Control Board is not the meaning of PCB in process management.
(d) Program Control Board is incorrect; the standard term is Process Control Block.
IMAP is an email-related communication protocol. What is the full form of IMAP?
A)
Internet Media Access Protocol
B)
Intranet Message Access Protocol
C)
Internet Message Access Protocol
D)
Intranet Media Access Protocol
IMAP stands for Internet Message Access Protocol. It is an email retrieval protocol that allows users to access and manage emails directly on the mail server.
Why others are incorrect:
(a) Internet Media Access Protocol — incorrect expansion of IMAP.
(b) Intranet Message Access Protocol — IMAP is used over the Internet, not specifically an intranet.
(d) Intranet Media Access Protocol — both 'Intranet' and 'Media' are incorrect.
A computer program that converts an entire program into machine language is called:
A)
Interpreter
B)
Simulator
C)
Compiler
D)
Programmer
A compiler translates the entire source program into machine language at once, producing object/executable code. An interpreter translates and executes the program line by line, so option (a) is incorrect. A simulator imitates the working of another system, so option (b) is incorrect. A programmer is a person who writes programs, so option (d) is incorrect.