Which letter is 7th to the left of P in the English alphabet?
- AOption (a)
H
- BOption (b)
I
- COption (c)
K
- DOption (d)
J
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Correct answer
H
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Take this paper as a timed mock test. Review your answers after you submit.
Read the paper at your pace. Open an explanation when you need it.
Which letter is 7th to the left of P in the English alphabet?
H
I
K
J
Correct answer
H
Choose the address that is the same as the one given below.
12/5A, Rajaji Nagar,Bengaluru, Karnataka-560010
12/5A, Rajaji Nagar, Bengaluru, Karnataka - 550010
Rajaji Nagar, Bengaluru, Karnataka - 561010
12/5A, Rajaji Nagar, Bengaluru, Karnataka-560010
12/5A, Rajaji Nagar, Bengaluru, Karnataka - 560001
Correct answer
12/5A, Rajaji Nagar, Bengaluru, Karnataka - 550010
Three seminars were conducted in Guwahati, Itanagar, and Shillong on 2nd, 3rd, and 4th April.
Shillong was scheduled after Guwahati.
Itanagar was not on 4th April.
When was Shillong's seminar?
2nd April
3rd April
4th April
Cannot be determined
Correct answer
2nd April
Seminar in Siliguri was 3 days after Darjeeling, and Kalimpong hosted its seminar 1 day before Siliguri. If Darjeeling was on 2 March, when was Kalimpong's seminar?
3rd March
4th March
5th March
6th March
Correct answer
3rd March
Consider the following statement and choose the option that follows.
Statement: The bank has introduced QR-code-based transactions at all branches.
Inferences:
I. Customers are expected to use digital methods more.
II. Traditional banking counters will be phased out.
Only I follows
Only II follows
Both follow
Neither follows
Correct answer
Only I follows
If 6 + 2 = 16, 7 + 3 = 25, then 8 + 4 = ?
32
28
36
27
Correct answer
32
What should come in place of the question mark '?' in the following number series?
14, 26, 50, 98, 194, ?
386
376
366
296
Correct answer
386
What will come in the place of question mark (?) in the following number series?
2, 3, -1, 8, -8, ?
21
17
16
15
Correct answer
21
If digits of 642 are reversed and added to the original number, what is the result?
1284
888
1212
1197
Correct answer
1284
Select the option that is embedded in the given figure. (Rotation is NOT allowed)





Correct answer
Select an appropriate figure from the four options that will come next in the following figure.





Correct answer
Which is the odd one out?
Table
Fan
Bed
Kidney
Correct answer
Table
Which code has a digit-letter sequence that doesn't follow a repeated unit?
1A2B1A2B
3C4D3C4D
5E6F7E6F
7G8H7G8H
Correct answer
1A2B1A2B
Study the given pattern carefully and select the number that can replace the question mark [?] in it.
| 14 | 12 | 7 | 15 |
|---|---|---|---|
| 21 | 29 | 15 | 18 |
| 245 | 287 | 154 | ? |
312
278
231
332
Correct answer
312
You're a forest officer and a local festival causes pollution in a sensitive zone. What is your best step?
Coordinate with local leaders for eco-friendly celebrations
Ban the festival permanently
Stay silent
Leave the zone
Correct answer
Coordinate with local leaders for eco-friendly celebrations
Identify the number which does NOT belong to the group:
11
13
15
17
Correct answer
11
Find the option that does not fit the series pattern;
7, 12, 19, 28, 39, 51, 67, 84
19
28
39
51
Correct answer
19
Directions
Study the following information carefully and answer the questions based on it.
Comprehension:
Seven boxes are kept one above another to make up a stack. The topmost box is numbered as 1, while the b numbered as 7. Each box contains different fruits, including Apples, Oranges, Cherries, Bananas, Melons, Kiwis, and Mangoes. Each box contains a different number of fruit: 10, 20, 30, 40, 50, 60, and 70.
There are 20 oranges. The box of Bananas is two boxes above the box of Melon. There are 70 Melons. There are 20 and 60 fruits in the topmost and bottommost boxes respectively. The box of Apples is just above the box of bananas. The box of Kiwi is just above the box of Mango. There are 30 Cherries in the box. The box containing 50 fruits is just above the box containing 10 fruits. There are ___ Apples.
60
50
70
80
Correct answer
60
Directions
These questions are based on the following information.
In a family there are eight members, P, Q, R, S, T, U, V, and W. V is the sister of the mother of U. W is the father of Q who is the brother of U. R is married to V. T is the father-in-law of W. S is the daughter of R.
How is P related to S?
Maternal Uncle
Maternal Aunt
Brother
Mother
Correct answer
Maternal Uncle
Direction: These questions are based on the following information.
There is a family of 7 members: Puja, Payal, Paras, Preet, Palak, Pia and Parth. In that family, there are 3 generations having 2 married couples among them. Preet is brother in law of Paras.
Puja is daughter in law of Pia. Pia and Parth is married couple who has only 1 son. Palak is sister of Payal. Payal is daughter of Paras. Parth is father of Paras.
How many male members are there in a family?
4
2
3
5
Correct answer
4
Read the following statement carefully and identify the conclusion that follows.
Statement:
All books are papers.
Some papers are journals.
Conclusions:
I. Some journals are books.
II. Some papers are books.
Only I follows
Only II follows
Both I and II follow
Neither I nor II follows
Correct answer
Only I follows
Read the following statement carefully and identify the conclusion that follows.
Statement:
Some cars are electric.
All electric vehicles are eco-friendly.
Some eco-friendly things are expensive.
Conclusions
I. Some cars may be eco-friendly
II. Some expensive things are not cars.
Only I follows
Only II follows
Both I and II follow
Neither I nor II follows
Correct answer
Only I follows
Complete the series.
A1, C2, E3, G4, ?
I5
J6
H5
I4
Correct answer
I5
What is the next number in the series?
1, 4, 16, ____
32
64
48
60
Correct answer
32
Which of the following is different from the rest?
11
13
17
21
Correct answer
11
What comes next?
5, 10, 8, 16, 14, ?
22
20
19
28
Correct answer
22
Identify the group that does NOT match the consecutive pattern.
PQ, QR, RS, ST, SV
PQ
QR
SV
RS
Correct answer
PQ
What comes next?
AA, BC, CE,?
EG
FH
GI
DG
Correct answer
EG
If STORM is coded as RSNQL, how is SHINE coded?
RGHMD
RGHND
RGHMF
RGIMD
Correct answer
RGHMD
If LAVEN is written as NEVAL, how is DAISY written?
YSAID
YSIAD
YSADI
YDIAS
Correct answer
YSAID
Complete the series.
91, 86, __ 76, 71
83
81
80
79
Correct answer
83
Find the one which completes the series:
Question figure:





Correct answer
Figure 1 and 2 are related with each other in some particular way. Find the relationship and establish the same relationship between 3 and 4 from the given four alternatives.
Figure 1:

Figure 2:

A
B
C
D
Correct answer
A
How many quadrilaterals are there in the given figure?

21
20
19
18
Correct answer
21
What word is formed by (0,4)(4,3)(2,1)(3,4)?
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | J | B | D | C | L |
| 1 | F | I | A | J | H |
| 2 | D | A | K | L | E |
| 3 | B | K | G | I | A |
| 4 | K | C | E | L | L |
LKAA
LLA
LLKA
LLAA
Correct answer
LKAA
Find the one which completes the series:





Correct answer
The series given below contains a sequence of numbers. Accordingly identify the INCORRECT number. 40, 40, 37, 31, 21, 10
37
31
10
21
Correct answer
37
Complete the analogy.
F : I :: L : ?
J
N
O
K
Correct answer
J
Complete the analogy.
ZYX : WVU :: TSR : ?
QPO
QRP
RQP
QOS
Correct answer
QPO
Find the missing term in the series:
A, C, F, J, ?
O
P
N
M
Correct answer
O
Select the option that does NOT belong to the same category as the others:
Amazon, Nile, Mississippi, Sahara
Amazon
Sahara
Nile
Mississippi
Correct answer
Amazon
In five even-numbered houses, 10-18: K lives at the top; J is one house above H; L is the lowest; M is between H and K. Who is at 14?
Who is at 14?
H
J
M
L
Correct answer
H
Statement: "To promote reading, the library will start weekend storytelling sessions for children."
Which conclusion follows?
Adult members dislike weekends
The library wants to attract young readers
Only children visit libraries
Storytelling is the only reading activity planned
Correct answer
Adult members dislike weekends
In a heated group discussion, what should an emotionally intelligent person do?
Take sides immediately
Shout to make a point
Leave angrily
Calmly listen to both sides
Correct answer
Take sides immediately
You notice your manager is unusually silent in a crucial meeting after a recent personal loss. The team expects decisions.
What is the best action?
Take the initiative for key discussions and offer support afterwards
Remain silent until the manager speaks
Ask intrusive questions about their loss
Criticise the lack of leadership
Correct answer
Take the initiative for key discussions and offer support afterwards
Arrange as per dictionary order and select the word that is second in order:
CLINIC, CLING, CLINK, CLINT
CLING
CLINK
CLINIC
CLINT
Correct answer
CLING
If 'P is husband of Q' and 'R is son of Q', how is R related to P?
Brother
Cousin
Nephew
Son
Correct answer
Brother
Find the odd one out in the given semantic series based on the pattern identified.
Iron, Platinum, Zinc, Lead
Iron
Platinum
Zinc
Lead
Correct answer
Iron
Complete the analogy.
Clock : Time :: Thermometer : ?
Heat
Mercury
Temperature
Weather
Correct answer
Heat
The World Happiness Report primarily relies on which type of data?
Objective economic indicators only
Subjective life evaluations and well-being measures
Environmental sustainability metrics
Military strength and geopolitical stability
Correct answer
Objective economic indicators only
The Bhakti saint who propagated devotion to Rama in the Awadhi dialect was:
Kabir
Tulsidas
Surdas
Namdev
Correct answer
Kabir
What is the primary purpose of Article 312 of the Indian Constitution ?
To regulate the appointment of Supreme Court judges
To create All India Judicial Services
To determine the qualification of Members of Parliament
To define the power of the Attorney General
Correct answer
To regulate the appointment of Supreme Court judges
The Fit India Movement, promoting fitness and sports culture, was launched in which year?
2017
2018
2019
2020
Correct answer
2017
The inaugural season of the Hockey India League took place in 2013. Which city hosted the final match?
Delhi
Ranchi
Lucknow
Mohali
Correct answer
Delhi
What is the classical feature of Ashokan pillars? Greitas zivitat amestu fatuan aur 8?
They had capitals topped with lion sculptures.
They were only found in South India.
They were made of bronze and silver.
They served as fire altars.
Correct answer
They had capitals topped with lion sculptures.
In which city is the sculptural panel of "Descent of the Ganges" located?
Ellora
Mahabalipuram
Pattadakal
Badami
Correct answer
Ellora
Which Nigerian author won the Women's Prize for Fiction in 2007 for "Half of a Yellow Sun"?
Chimamanda Ngozi Adichie
Buchi Emecheta
Lola Shoneyin
Sefi Atta
Correct answer
Chimamanda Ngozi Adichie
What is the duration of each half in a standard kabaddi match (men's)?
15 mins
20 mins
30 mins
25 mins
Correct answer
15 mins
Which of these is NOT a feature of Kathakali performances?
Masked performances
Actors use facial expressions and hand gestures
The performance includes live singing
The performance is silent with no vocalization
Correct answer
Masked performances
"Raslila" is a traditional dance of which state?
Punjab
Uttar Pradesh
Kerala
West Bengal
Correct answer
Punjab
Which of the following works was authored by Varahamihira?
Mrichchakatika
Sushruta Samhita
Brihat Samhita
Dashakumaracharita
Correct answer
Mrichchakatika
Who among the following was the author of Virasoliyam?
Buddhamitra
Ottakuthar
Amirthasagarar
Sekkilar
Correct answer
Buddhamitra
What is the central theme of Mando music from Goa ?
Religious devotion
War and heroism
Love and historical narratives
Nature and philosophy
Correct answer
Religious devotion
Ugadi falls in the first month of the Hindu calendar called:
Vaishakha
Magha
Chaitra
Kartika
Correct answer
Vaishakha
Which of the following is true about the Yaoshang Festival in Manipur?
Thabal Chongba is a moonlight circle dance
Pala Eshei sung by unmarried youths
Includes academic quiz competitions
Marks the start of harvest season
Correct answer
Thabal Chongba is a moonlight circle dance
Which of the following pairs of musical forms/artists and their characteristics is correctly matched?
Rampur Saheswan Gharana - Fast note patterns, technically demanding
Thumri (Banaras Style) - Known for lyrical khayals followed by Tarana
Tappa - Prominent exponent of lyrical love songs (Thumri)
Rasoolan Devi - Slow, expressive, emphasizes mood over strict grammar
Correct answer
Rampur Saheswan Gharana - Fast note patterns, technically demanding
Analyze the following statements about Handball rules and court specifications:
Assertion (A):The free-throw line in handball is drawn 3 meters outside the goal area line, and it is represented by a broken line.
Reason (R):The segments of the free-throw line are 15 cm long, with spaces of 15 cm between them.
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Correct answer
Both A and R are true, and R is the correct explanation of A.
In which year did Babur take control of Kabul?
1500 CE
1508 CE
1504 CE
1512 CE
Correct answer
1500 CE
Which system, introduced by the Government of India Act of 1919, classified provincial subjects into "reserved" and "transferred" categories?
Dyarchy
Federation
Bicameralism
Responsible Government
Correct answer
Dyarchy
Which of the following correctly describes the responsibilities of Madras and Bombay governors after 1773?
They operated independently of the Bengal Governor-General.
They had to report to the Governor-General on war, peace, and revenue.
They managed trade but not civil administration.
They were answerable only to the Court of Directors in London.
Correct answer
They operated independently of the Bengal Governor-General.
Who is the author of 'The Glass Palace"?
Amitav Ghosh
Vikram Seth
Salman Rushdie
Raj Kamal Jha
Correct answer
Amitav Ghosh
Who led the four-member Indian judo team at the Asian Games 2023 in Hangzhou ?
Avtar Singh
Indubala Devi Maibam
Tulika Maan
Garima Choudhary
Correct answer
Avtar Singh
Who was conferred Brazil's highest civilian honour, "The Grand Collar of the National Order of the Southern Cross," in 2025?
Nirmala Sitharaman
Narendra Modi
Rajnath Singh
Mallikarjun Kharge
Correct answer
Nirmala Sitharaman
Which of the following statements about the Indian Desert is correct?
The Indian Desert lies to the east of the Aravali Hills and receives moderate rainfall.
It is a rocky plateau covered with dense forests and seasonal rivers.
The Indian Desert is an undulating sandy plain with sand dunes and receives less than 150 mm of rainfall annually.
The region lies in the southern part of the Deccan Plateau and is rich in black soil.
Correct answer
The Indian Desert lies to the east of the Aravali Hills and receives moderate rainfall.
Read the following Assertion (A) and Reason (R) carefully and choose the correct option:
Assertion (A): The eastern coastal plains of India are wider and flatter than the western coastal plains.
Reason (R): Large rivers like the Mahanadi, Godavari, Krishna, and Kaveri have created extensive deltas along the eastern coast.
Both A and R are true, and R is the correct explanation of A
Both A and R are true, but R is not the correct explanation of A
A is true, but R is false
A is false, but R is true
Correct answer
Both A and R are true, and R is the correct explanation of A
Which three states in the Northern Plains region have the highest population densities?
Punjab, Haryana, Uttar Pradesh
Uttarakhand, Bihar, Jharkhand
Bihar, West Bengal, Uttar Pradesh
Assam, Haryana, Chhattisgarh
Correct answer
Punjab, Haryana, Uttar Pradesh
At which Lagrange point does the Aditya-L1 spacecraft orbit?
L1
L2
GEO
SSO
Correct answer
L1
What is the primary purpose of ISRO's GSAT-20 (GSAT-N2) satellite ?
It provides navigation services across the Indian subcontinent.
It monitors weather patterns over the Indian Ocean.
It delivers high-speed broadband services using Ka-band across India.
It is designed for Earth observation and remote sensing.
Correct answer
It provides navigation services across the Indian subcontinent.
Which of the following statements correctly defines population stabilization?
It refers to the stage where fertility becomes higher than mortality
It refers to zero birth rate
It occurs when the difference between birth rate and death rate is negligible
It indicates exponential growth of urban population
Correct answer
It refers to the stage where fertility becomes higher than mortality
Who took charge as new Cabinet Secretary of India in 2025?
Dr. T.V. Somanathan
Tarun Kapoor
Sanjay Kumar
Arun Goel
Correct answer
Dr. T.V. Somanathan
Which industrial region in India is historically renowned for its dominance in the cotton textile industry and is often referred to as the "Manchester of India"?
Chota Nagpur Industrial Region
Mumbai-Pune Industrial Region
Hugli Industrial Region
Ahmedabad-Vadodara Industrial Region
Correct answer
Chota Nagpur Industrial Region
Read the following statements marked as Assertion (A) and Reason (R). Choose the correct option:
Assertion (A): Spark Torch Igniters are being increasingly incorporated into advanced rocket engine designs for next-generation launch vehicles.
Reason (R): They provide superior multi-restart capability and consistent, reliable ignition in extreme conditions, allowing for more complex mission profiles and enabling engine reusability.
Both A and R are true, and R is the correct explanation of A
Both A and R are true, but R is not the correct explanation of A
A is true, but R is false
A is false, but R is true
Correct answer
Both A and R are true, and R is the correct explanation of A
Which enzyme primarily is responsible for joining "Okazaki fragments" during the DNA replication process?
DNA polymerase
DNA ligase
Helicase
Primase
Correct answer
DNA polymerase
Arrange these evolutionary events chronologically:
A. First eukaryotes
B. First prokaryotes
C. Multicellularity
D. Oxygen accumulation
B-D-A-C
A-B-D-C
D-B-A-C
B-A-C-D
Correct answer
B-D-A-C
The Bharatiya Nagarik Suraksha Sanhita (BNSS) introduces a specific timeframe for pronouncing judgment after the conclusion of arguments in a criminal trial. What is this timeframe?
Within 7 days
Within 15 days
Within 30 days (extendable to 45 days)
Within 60 days
Correct answer
Within 7 days
Who has the authority to appoint a Sessions Judge of one sessions division as an Additional Sessions Judge of another division?
District Magistrate
High Court
Supreme Court
State Government
Correct answer
District Magistrate
Which of the following is a key objective of the National Health Mission (NHM)?
Industrial growth
Child mortality reduction
Space exploration
Wildlife protection
Correct answer
Industrial growth
Which of the following initiative-objective pairings is correctly matched as per Government of India schem
UDAN Road Safety
PM PRANAM - Fertilizer diversification
NBS-Airline support
NSWS - Social welfare
Correct answer
UDAN Road Safety
Which of the following is a typical example of Revenue Expenditure?
Construction of a railway terminal
Purchase of land for a PSU facility
Interest paid on a government loan
Funding a national highway project
Correct answer
Construction of a railway terminal
Which of the folowing statements shows accurate understanding of a macroeconomic concept?
Gross Domestic Product includes earnings sent home by citizens working abroad.
When the general price level rises, the value of money tends to fall.
A country's budget is considered balanced when exports exceed imports.
The central bank controls inflation mainly through changes in income tax rates.
Correct answer
Gross Domestic Product includes earnings sent home by citizens working abroad.
What is a primary focus area of the Global Energy Transition Index?
Nuclear energy development
Fossil fuel production
Energy security, sustainability, and equity
Space exploration technology
Correct answer
Nuclear energy development
U Tirot Sing was a tribal chief who led a fierce resistance against the British attempts to build roads through his territory in which region?
Mizoram Hills
Naga Hills
Khasi Hills
Lushai Hills
Correct answer
Mizoram Hills
Bhima Nayak, a prominent tribal leader during the 1857 rebellion, is known for which of the following contributions ?
Leading tribal uprisings in the Satpura region of Madhya Pradesh and coordinating guerrilla tactics against the British.
Negotiating a peace treaty between British authorities and rebel leaders in Central India.
Serving as a close aide to Rani Lakshmibai and leading regular army battalions in open warfare.
Establishing a provisional government in Jhansi during the Rebellion.
Correct answer
Leading tribal uprisings in the Satpura region of Madhya Pradesh and coordinating guerrilla tactics against the British.
Trade policy prior to 1991 was characterized by
Free trade
Import liberalization
High tariffs and quotas
Foreign direct investment
Correct answer
Free trade
Which of the following statements about public sector industries is correct?
They are owned by private individuals.
They operate without government regulation.
They are owned and operated by government agencies.
They are only run in rural areas.
Correct answer
They are owned by private individuals.
Read the following Assertion (A) and Reason (R) carefully and choose the correct option.
Assertion (A): The Third Five Year Plan failed to meet its targets.
Reason (R): The failure was mainly due to external shocks like war and drought.
Both A and R are true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A.
A is true but R is false.
A is false but R is true.
Correct answer
Both A and R are true and R is the correct explanation of A.
Read the following Assertion (A) and Reason (R) carefully and choose the correct option.
Assertion (A): The Fourth Five Year Plan aimed at growth with stability and self-reliance.
Reason (R): It was launched after the shocks of war and droughts during the previous plan period.
Both A and R are true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A
A is true but R is false.
A is false but R is true.
Correct answer
Both A and R are true and R is the correct explanation of A.
Consider the following statements about the LiFE (Lifestyle for Environment) initiative:
Only 1 and 2 are correct
Only 1 and 3 are correct
Only 2 and 3 are correct
All 1, 2 and 3 are correct
Correct answer
Only 1 and 2 are correct
Which of the following was a key feature of financial sector reforms under NEP 1991?
Increased RBI control
Nationalization of banks
Establishment of private sector banks
Restriction of FDI in banks
Correct answer
Increased RBI control
Solve:(56.75)2 - 3220
0.5625
2.5625
Correct answer
A sum of money invested at compound interest amounts to Rs. 1,000 in 3 years and 1,200 in 4 years. Find the rate of interest.
20%
30%
35%
42%
Correct answer
20%
A sum becomes Rs. 11,650 in 5 years and Rs. 12,076 in 6 years at simple interest. What is the sum?
9,230
9,340
9,420
9,520
Correct answer
9,230
Given: \(\rm x+\frac{1}{x}=2\), find the value of \(\rm x^6+\frac{1}{x^6}-3\left(x^3-\frac{1}{x^3}\right)+5\left(x^2+\frac{1}{x^2}\right) \)
2
4
12
8
Correct answer
2
From the summit of a 90-meter-high building, the angles of depression to the top and bottom of a tower are measured at 30° and 60°, respectively. What is the height of the tower in meters?
50 m
60 m
70 m
75 m
Correct answer
50 m
If the space diagonal of a cuboid is 13 cm, and two of its edges are 3 cm and 4 cm, what is the third edge?
11 cm
12 cm
13 cm
14 cm
Correct answer
11 cm
A solid metal sphere that has a radius of 12 centimeters is melted down and reshaped into smaller spheres, each with a radius of 2 centimeters. How many smaller spheres can be created from this material?
216
6
36
1728
Correct answer
216
A solid metallic sphere of diameter 14 cm is melted and recast into smaller hemispheres each of diameter 7 cm. How many hemispheres can be made?
16
17
18
19
Correct answer
16
The proportions of the dimensions of a rectangular parallelepiped are 2 : 3 : 4. If its volume is 768 cm3 what is its smallest dimension?
6.34 cm
8.45 cm
12.25 cm
16.89 cm
Correct answer
6.34 cm
A rectangular tank has a length of 1 meter, a width of 80 cm, and a height of 50 cm. If the tank needs to be covered completely with square tiles of side 20 cm, how many tiles will be required?
42
85
57
34
Correct answer
42
A cone is melted and recast into smaller cones with \(\frac{1}{3}\) the radius and \(\frac{1}{3}\) the height. How many cones are formed?
27
30
32
25
Correct answer
27
A cone is cut by a plane that runs parallel to its base, creating a smaller cone that is similar to the original cone. If the height of this smaller cone is one-third that of the original cone, what is the ratio of their volumes?
1 : 3
1 : 9
1 : 27
1 : 6
Correct answer
1 : 3
Expand : (2x - 3)2
4x2 + 12x + 9
4x2 - 12x + 9
4x2 - 14x + 10
4x2 + 10x + 9
Correct answer
4x2 + 12x + 9
A machine processes 2.4 items per second. How many items does it process in 2\(\frac{1}{2}\) minutes?
360
380
300
420
Correct answer
360
The base of a regular right pyramid is a square with the side length of 6 cm. If its volume is 144 cm3, what is its height?
8 cm
10 cm
12 cm
15 cm
Correct answer
8 cm
What is the sum of the exterior angles of a polygon with n sides?
4π
5π
2π
3π
Correct answer
4π
Simplify:
\(\rm (0.625\div 2.5)\left(\frac{5}{8}\times 2\right)=?\)
2.5
2
0.3125
3
Correct answer
2.5
A regular right pyramid has a square base. Its base area is 100 cm2 and its lateral surface area is 260 cm2. What is the height of the pyramid?
10 cm
12 cm
13 cm
15 cm
Correct answer
10 cm
A water pipe supplies water at a constant rate. In 4.5 minutes, it fills \(2\frac{1}{4}\) liters. At this rate, how much time will it take to fill 5.625 liters?
10 minutes
11.25 minutes
12 minutes
12.5 minutes
Correct answer
10 minutes
A farmer uses \(\frac{2}{3}\) of his land for wheat and 0.125 for rice. What fraction remains unused?
\(\frac{1}{6}\)
\(\frac{1}{8}\)
\(\frac{3}{16}\)
\(\frac{5}{24}\)
Correct answer
\(\frac{1}{6}\)
Find the area of a circle that has a circumference of 44 cm.
154 cm2
121 cm2
100 cm2
138 cm2
Correct answer
154 cm2
If the selling price of an item is increased by 25% and the profit also increases from 20% to 30%, what is the percentage increase in the cost price?
4.5%
5.6%
10.28%
15.38%
Correct answer
4.5%
A circular field is surrounded by a path 2 m wide. If the inner radius is 10 m, find the cost to pave the path at Rs. 20 per m2.
₹2765.71
₹2654
₹2356.45
₹3456
Correct answer
₹2765.71
A square sheet is folded in half. What is the ratio of the area of the folded shape to the original square?
1 : 1
1 : 2
2 : 1
3 : 4
Correct answer
1 : 1
A square plot of land is to be expanded such that its area becomes 225% of the original. By what percentage must each side be increased?
50%
100%
25%
50.5%
Correct answer
50%
A square board 20 cm side has a corner triangle removed (right triangle, legs 5 cm each). What percent of the board remains?
93.76 %
92.54%
96.88%
90%
Correct answer
93.76 %
A regular hexagon has an area of 150 cm2. What is the area of one of its equilateral triangular sections?
25 cm2
30 cm2
35 cm2
40 cm2
Correct answer
25 cm2
The average of 20 numbers is 40. If the sum of the first 10 numbers is 380, what is the average of the remaining 10 numbers?
42
40
44
38
Correct answer
42
A line passes through the point (2, -1) (2, -1) and is perpendicular to the line y = (-2/5)x + 3. What is its equation?
y = 2x - 6
y = (3/2)x - 6
y = (5/2)x - 6
y = (5/2)x - 2
Correct answer
y = 2x - 6
From the top of a lighthouse 100 m high, the angle of depression of a boat is 30°. Find the distance of the boat from the base of the lighthouse.
78 m
173.2 m
254 m
189 m
Correct answer
78 m
A cylinder is half-filled with liquid. If radius doubles and height halves, what's the new filled depth percentage-wise?
25%
50%
75%
100%
Correct answer
25%
A composite solid is formed by placing a cone, which has a radius of 2 cm and a height of 6 cm, on top of a right circular cylinder. The cylinder's radius is twice that of the cone, and its height is also double that of the cone. What is the ratio of the volume of the cone to that of the cylinder?
1 :24
1 : 12
1 : 18
1 : 26
Correct answer
1 :24
The volume of a right prism is 600 cm3 and its base area is 30 cm2. Find its height.
10 cm
15 cm
20 cm
25 cm
Correct answer
10 cm
A triangular prism has side lengths of 5 cm, 6 cm, and 7 cm. If its height is 8 cm, what is the lateral surface area?
144 cm2
120 cm2
136 cm2
152 cm2
Correct answer
144 cm2
If the orthocenter and centroid coincide, the triangle must be:
Scalene
Right-angled
Equilateral
Isosceles
Correct answer
Scalene
If the radius of a sphere is increased by 30%, by what percentage does its surface area increase?
57%
58%
69%
67%
Correct answer
57%
If \(\rm \tanθ=\frac{3}{4}\), what is sec θ?
\(\frac{5}{4}\)
\(\frac{11}{5}\)
\(\frac{6}{5}\)
\(\frac{7}{4}\)
Correct answer
\(\frac{5}{4}\)
If \(\rm \sin A=\frac{3}{5}\) and \(\rm \cos B=\frac{4}{5}\), and both A, B in first quadrant, then sin(A + B) = ?
\(\frac{12}{25}\)
\(\frac{7}{10}\)
\(\frac{24}{25}\)
\(\frac{4}{25}\)
Correct answer
\(\frac{12}{25}\)
Find the equation of the line passing through (0,0) and (5,10)
y = 5x
y = 3x
y = 4x
y = 2x
Correct answer
y = 5x
If y = mx + c passes through (2, 5) and (4, 9), find m
4
2
3
5
Correct answer
4
If \(\rm \sec A=\frac{13}{12}\) and A is acute, find sin(90° - A).
\(\frac{5}{13}\)
\(\frac{12}{13}\)
\(\frac{1}{13}\)
\(\frac{3}{13}\)
Correct answer
\(\frac{5}{13}\)
A triangle has vertices at A(0, 0), B(6, 0), and C(0, 8). What are the coordinates of its Circumcenter?
(4, 3)
(3, 5)
(3, 4)
(4, 5)
Correct answer
(4, 3)
In triangle XYZ, a line is drawn parallel to YZ intersecting XZ at A and XY at B. If XA = 2 cm, AZ = 6 cm, and XB = 3 cm, find BY.
7 cm
19 cm
9 cm
6 cm
Correct answer
7 cm
553 + 173 - 723 + 201960 is equal to:
0
1
2
3
Correct answer
0
If tan x = 2, find the value of cot(90° - x) + tan(90° - x).
\(\frac{5}{2}\)
\(\frac{7}{2}\)
\(\frac{2}{3}\)
\(\frac{1}{4}\)
Correct answer
\(\frac{5}{2}\)
In a circle, chord AB subtends an angle of 80° at the center. What is the measure of the angle subtended by the same chord at any point C on the circumference, on the same side as the arc?
20°
30°
40°
50°
Correct answer
20°
From a point 13 cm away from the center of a circle, a tangent of length 12 cm is drawn. Find the radius of the circle?
5 cm
13 cm
7 cm
12 cm
Correct answer
5 cm
Which of the following is least?
\(\frac{1}{2}, 0.25, 0.3, \frac{3}{4}\)
\(\frac{1}{2}\)
0.25
0.3
\(\frac{3}{4}\)
Correct answer
\(\frac{1}{2}\)
A sum doubles in 10 years at Sl. find its Rate of interest
15%
20%
25%
10%
Correct answer
15%
If A works twice as fast as B, and A can complete a task in 10 days, how many days will it take for B to complete the task?
50 days
40 days
30 days
20 days
Correct answer
50 days
In the following question, a sentence with a blank is given, followed by five words labeled (1), (2), (3), (4), and (5). Choose the word that fills the blank appropriately in the context of the passage.
Across centuries, the movement of peoples, whether voluntary or forced, has continually reshaped cultures, economies, and identities. The concept of diaspora ________ (1) not merely the scattering of individuals across lands, but the weaving of complex narratives that transcend borders. Communities living abroad often ________ (2). between preserving ancestral traditions and embracing the customs of their adopted homelands. Language, food, and festivals become linchpins of cultural memory, yet over generations, inevitable transformations _______(3) blending old and new in unexpected ways. The emotional landscape of the diaspora is often marked by ________ (4) nostalgia, a bittersweet yearning for a homeland that exists both in memory and myth. Meanwhile, some voices within diasporic communities warn against _________ (5) assimilation, fearing that full integration could erode essential aspects of identity.
Which verb form fits best? (1)
denote
denotes
denoted
denoting
Correct answer
denote
Choose the right tense/form. (2)
navigates
navigating
navigate
navigated
Correct answer
navigates
Which modal/tense works best? (3)
will occur
occurs
occurring
occur
Correct answer
will occur
What does nostalgia’ most nearly mean in this context? (4)
Resentment
Longing
Anger
Indifference
Correct answer
Resentment
“assimilation” most nearly means: (5)
Preservation
Segregation
Absorption
Rejection
Correct answer
Preservation
Which of the following options, rearrange the given sentences in a proper sequence to make a meaningful passage?
2-4-3-1-5
1-4-3-2-5
2-5-4-3-1
1-5-3-2-4
Correct answer
2-4-3-1-5
Improve the sentence using the correct phrasal verb of the underlined words.
The thieves managed to get off the police during the chase.
get away from
get along with
get over
get through
Correct answer
get away from
Benita: | had such a terrible fight with Samira last night.
I can't believe what | said. Richard: | don’t need to hear all about it. Some things are better left unsaid.
What does Richard mean when he says, "Some things are better left unsaid"?
Some things should remain private and not be spoken about.
Everything should always be openly discussed.
Speaking about problems will always make them worse.
It's best to forget everything after a fight.
Correct answer
Some things should remain private and not be spoken about.
Identify the error in the sentence.
They celebration the win with music and dancing.
win
celebration
music
dancing
Correct answer
win
Fill in the blank with the correctly spelt word.
The scientist was known for her _________ adherence to ethical standards.
unasssailable
unassailable
unasailable
unassailible
Correct answer
unasssailable
Select the most appropriate synonym of the given word:
TRANQUILIZING
Soothing
Irritating
Provocative
Harsh
Correct answer
Soothing
Select the most appropriate synonym of the given word:
CALUMNY
Truth
Slander
Praise
Compliment
Correct answer
Truth
Select the most appropriate antonym of the given word. Dogmatic
Stubborn
Flexible
Rigid
Arrogant
Correct answer
Stubborn
Select the most appropriate antonym of the given word. Clandestine
Open
Long
Secret
Boring
Correct answer
Open
Select the most appropriate synonym of the given word:
DISCONSOLATE
Unhappy
Cheerful
Content
Elated
Correct answer
Unhappy
Select the most appropriate synonym of the given word:
EFFRONTERY
Audacity
Politeness
Shyness
Courtesy
Correct answer
Audacity
Select the most appropriate antonym of the given word.
Sanguine
Optimistic
Cheerful
Pessimistic
Hopeful
Correct answer
Optimistic
Select the most appropriate antonym of the given word.
Rebarbative
Attractive
Repulsive
Off-putting
Irritating
Correct answer
Attractive
Choose the correct meaning of idiom:
Where the shoe pinches
The turning point in fortune
The hidden benefit in hardship
The point of real difficulty or discomfort
The weakest member in a team
Correct answer
The turning point in fortune
Choose the correct meaning of idiom:
Rest on his laurels
To withdraw from success
To bask in past glory and avoid current effort
To criticize one’s own success
To challenge past achievements
Correct answer
To withdraw from success
Select the correct spelling of a word meaning ‘temporary stay or visit’.
Sojourn
Soejourn
Sajourn
Sojurn
Correct answer
Sojourn
Spot the correct spelling of a term meaning 'study of the mind’.
Sychology
Psychology
Psychollogy
Psycology
Correct answer
Sychology
Which of these is the correct spelling of an ethical theory prioritizing duty?
Deontological
Deantological
Deontollogical
Deontologicel
Correct answer
Deontological
Choose the correct one-word substitute for: ‘A short, arnusing or interesting story about a real incident or person.’
Tale
Allegory
Anecdote
Biography
Correct answer
Tale
Choose the correct one-word substitute for: 'A disease that spreads over a whole country or the world’.
Epidemic
Endemic
Pandemic
Pathogen
Correct answer
Epidemic
Spot the correct spelling of a blood-pressure device.
Sphygmomannometer
Sphygmomanometer
Sphygmamanometre
Sphygmomamometer
Correct answer
Sphygmomannometer
Choose the correct one-word substitute for: 'A government ruled by the wealthy."
Kleptocracy
Plutocracy
Theocracy
Meritocracy
Correct answer
Kleptocracy
In the given passage, some words have been deleted. Read the passage intently and choose the most appropriate option to fill in each blank:
Equity in education is not a matter of distributing identical tools to unequal lives. It is, instead, the ______ (1) of design-one that begins by listening, not prescribing. To mistake uniformity for fairness is to ignore the histories etched into the margins of classrooms: the quiet absence of confidence, the inherited silences of caste, class, or gender, the invisible weight of underfed attention. In this context, merit is often brandished as a ________ (2) obscuring the scaffolded advantages that shape who arrives prepared and who arrives late. A just system does not pretend everyone starts at the same line; it re-draws the line so that the race itself does not entrench inequality. That redrawing requires more than infrastructure-it demands a ______ (3) of imagination. What if assessments accounted for lived complexity? What if pedagogy paused for breath where society gasps for access? Education is not a ladder out of poverty if the rungs are greased for some and splintered for others. Nor is inclusion real if it is merely spatial-a desk, a roll call, a token smile. True equity emerges not from programs alone, but from the ________ (4) to confront whose stories are centred, whose questions are validated, and whose silences are allowed to remain unbroken. The future of learning lies not in acceleration, but in the willingness to _______ (5) where we have failed to ask why the an always sound the same.
What should come in the place of blank number (1)?
vocabulary
architecture
illusion
burden
Correct answer
vocabulary
What should come in the place of blank number (2)?
shield
disquise
mandate
virtue
Correct answer
shield
What should come in the place of blank number (3)?
reduction
poverty
generosity
rupture
Correct answer
reduction
What should come in the place of blank number (4)?
refusal
curriculum
hesitation
mandate
Correct answer
refusal
What should come in the place of blank number (5)?
innovate
conform
return
unravel
Correct answer
innovate
Choose the correct preposition:
He was entrusted ______ confidential state documents.
for
with
to
by
Correct answer
for
Select the correct option:
The committee regarded the proposal as ___ to the organization's long-term vision.
integral
integrally
integration
integrate
Correct answer
integral
Find the part of the sentence that contains an error:
The manager asked the interns (1)/ to compile the data accurately and quick (2)/ for tomorrow's presentation (3)/ before the end of the day. (4)/
1
2
3
4
Correct answer
1
Find the part of the sentence that contains an error:
What the council could not anticipate (1)/ was that the regulatory changes, sudden as they seemed, (2)/ were in fact a culmination of several years (3)/ of there being dissatisfaction within the sector. (4)
1
2
3
4
Correct answer
1
Change the following from active to passive:
They will not tolerate procedural anomalies.
Procedural anomalies will not be tolerated by them.
Procedural anomalies are not being tolerated by them.
Procedural anomalies would not be tolerated by them.
Procedural anomalies have not been tolerated by them.
Correct answer
Procedural anomalies will not be tolerated by them.
Change the following from active to passive:
People found her explanation lacking in coherence.
Her explanation lacked coherence when people found it.
It was found by people that her explanation lacked coherence.
Her explanation was found to be lacking in coherence.
Her coherence was lacking when it was explained.
Correct answer
Her explanation lacked coherence when people found it.
Select the sentence containing the homonym of the highlighted word:
He had a strong will to overcome adversity.
They signed a will before retirement.
The king ruled with willful pride.
She was willing to help without reward.
The team showed great willpower.
Correct answer
They signed a will before retirement.
Select the sentence containing the homonym of the highlighted word:
The conservator repaired the fillet on the old manuscript binding.
The chef pan-seared a salmon fillet with herbs.
The bookbinder stitched the leather fillet tightly.
The fillet was traced in gold on the spine.
The medieval fillet indicated title divisions.
Correct answer
The chef pan-seared a salmon fillet with herbs.
Select the sentence containing the homonym of the highlighted word:
The illuminated antiphonary contained Advent chants.
The singer read directly from the antiphonary.
The musicologist translated a medieval antiphonary.
The engineer downloaded an antiphonary for circuit patterns.
The archivist restored the parchment antiphonary.
Correct answer
The singer read directly from the antiphonary.
Convert the sentence provided below from its passive voice structure to an active voice structure:
A complaint was filed against the director by the shareholders.
The shareholders had filed a complaint against the director.
The shareholders were filing a complaint against the director.
The shareholders filed a complaint against the director.
The director complained to the shareholders.
Correct answer
The shareholders had filed a complaint against the director.
Convert the sentence provided below from its passive voice structure to an active voice structure:
The documents have been being reviewed by the compliance team for several weeks.
The compliance team has reviewed the documents for weeks.
The compliance team has been reviewing the documents for several weeks.
The documents were being reviewed for several weeks.
The compliance team had reviewed the documents weekly.
Correct answer
The compliance team has reviewed the documents for weeks.
Choose the most suitable option to replace the highlighted part of the sentence:
Neither Rina or Raju was present in the class.
Neither Rina not Raju
Either Rina or Raju
None of Rina and Raju
Neither Rina nor Raju
Correct answer
Neither Rina not Raju
Choose the most suitable option to replace the highlighted part of the sentence:
The teacher explained the topic so clearly that no one had doubts.
very clearly that no one had doubts
so clearly that no one had any doubts
in such clear way that no doubt remained
clearly so that no doubts were there
Correct answer
very clearly that no one had doubts
A sentence is provided in indirect speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding direct speech.
She observed that the appellate bench might overturn the ruling were new exculpatory evidence to surface.
She observed, "The appellate bench may overturn the ruling if new exculpatory evidence surfaces."
She said, "The appellate bench might overturn the ruling were new exculpatory evidence to surface."
She observed, "Should new exculpatory evidence surface, the bench has overturned the ruling."
She said, "Evidence surfaces, ruling might overturn."
Correct answer
She observed, "The appellate bench may overturn the ruling if new exculpatory evidence surfaces."
A sentence is provided in direct speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding indirect speech.
She said, “| was going to the market.”
She said that she had been going to the market.
She said she was gone to the market.
She said she is going to the market.
She said she had gone to the market.
Correct answer
She said that she had been going to the market.
A sentence is provided in indirect speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding direct speech.
The trainer remarked that participants must arrive 15 minutes early for registration.
“Participants had to come 15 minutes early for registration,” the trainer remarked.
“Arrive 15 minutes early for registration,” the trainer told the participants.
“you will be registered only if you arrive 15 minutes early,” said the trainer.
“It's mandatory to register before 15 minutes,” said the trainer.
Correct answer
“Participants had to come 15 minutes early for registration,” the trainer remarked.
Rearrange the following sentences to form a meaningful passage:
1-3-2-4
2-1-3-4
2-4-3-1
1-2-3-4
Correct answer
1-3-2-4
Rearrange the following sentences in correct order to make a logical passage.
2-4-1-3
2-1-3-4
4-3-1-2
2-3-1-4
Correct answer
2-4-1-3
200 questions in the full paper