Simplify: [Formula above], given that 2x > 3y.
- ((a))
4x²
- ((b))
6y
- ((c))
4x
- ((d))
6y²
Show Answer
6y
100 questions · 90 minutes · with answers · free
Simplify: [Formula above], given that 2x > 3y.
4x²
6y
4x
6y²
6y
Kirti starts a business with ₹27,000 and after 7 months, Vaishnavi joins Kirti as her partner. After a year, the profit is divided in the ratio 8 : 9. What is Vaishnavi's contribution in the capital?
₹72,750
₹72,875
₹72,900
₹73,360
₹72,900
Calculate the simple interest if the principal amount is ₹75,000, the rate is 5%, and the time is 5 years.
₹3750
₹16,870
₹7,850
₹18,750
₹18,750
What sum of money (in ₹) will yield ₹720 as simple interest in 2 years at 6% per annum?
6400
6200
6000
5500
6000
The sum of the present ages of Lokesh and Taresh is 24 years. After 2 years, Lokesh's age will be three times that of Taresh. Lokesh's present age (in years) is:
12
17
19
22
19
A and B can complete a work in 12 days and 8 days, respectively. They started doing the work together but after 2 days, B had to leave, and A completed the remaining work alone. The whole work was completed in ________ days.
10
9
7
8
9
Find the sum of 8 exterior angles of a 24-sided regular polygon.
115°
135°
140°
120°
120°
Simplify: [Formula above]
14/15
13/15
17/15
16/15
16/15
If 6 machines produce 120 items in 8 hours, how many items can 9 machines produce in 4 hours at the same rate?
120
80
90
60
90
In Δ PQR, ∠Q = 90°. If tanR = 1/3, then the value of [Formula above] is:
6
5
7
3
3
If the median and the mode are given as 65 and 60, respectively, find the mean.
62.5
68
70
67.5
67.5
When one-third of a number is increased by 55, the result is 83. Find the sum of the digits of the original number.
13
14
12
9
12
Simplify: [Formula above]
16
20
22
18
20
The sum of 6 numbers is 240. Find their average.
41
40
39
38
40
Six cubes each of side 4 cm, are placed adjacent to each other. Find the volume of the cuboid so formed.
256 cm3
384 cm3
512 cm3
64 cm3
384 cm3
A and B together can complete a task in 10 days, B and C in 12 days and A and C in 15 days. How long will A, B and C take to complete the task working together?
7 days
10 days
8 days
9 days
8 days
A shopkeeper lists the price of a fan at 36% above its cost price and offers a 25% discount on its list price. If he earns a profit of ₹134, then what is the list price (in ₹) of the fan?
9,112
8,851
8,987
9,135
9,112
A family's monthly income increased by 15%. They increased their monthly expenditure on food by 10% and on rent by 20%. If their initial monthly expenditure on food was ₹12,000 and on rent was ₹8,000, and their initial monthly savings were ₹15,000, what are their new monthly savings? (Assume that there is no other expenditure.)
₹18,650
₹17,450
₹25,000
₹15,000
₹17,450
The sum of the prime factors of 84 is:
14
18
15
12
12
During a sale, 60% of the goods are sold at a profit of 21%. Of the remaining goods, 40% are sold at a profit of 46%, and the rest are sold at a loss of 29%. If the overall profit is x%, then what is the value of x?
9.5
13
3
3.5
13
Simplify: [(120 - 24 ÷ (4 + 2)) × 2 - (50 ÷ 5 + 6)] + [(18 + 12 × 2 - 8) - (9 ÷ 3 + 5)]
252
242
262
232
242
Find the fourth proportional to 3.5, 7.5, and 6.3.
13.5
11.5
14.5
12.5
13.5
If the lateral surface area of a cylinder is 775.8 cm² and its height is 24 cm, then find its volume. (Use π = 3.14 and round off to two decimal places.)
1962.74 cm³
1984.78 cm³
2016.67 cm³
1996.63 cm³
1996.63 cm³
Naveena's monthly income is ₹84,000. She spends 25% of his income on house rent, 20% on groceries, 15% on other household expenses, and saves the remaining amount. How much money (in ₹) does she save every month?
32,000
32,600
33,600
33,000
33,600
A 200 m long train passes a man standing on a platform in 10 seconds. How long will it take to cross another 350 m long train running at 60 km/h in the opposite direction?
15 seconds
12 seconds
14 seconds
16 seconds
15 seconds
Rajat is the brother of Garima. Garima is the sister of Harish. Harish is the father of Jyoti. Jyoti is the wife of Karan. How is Rajat related to Karan?
Wife's father's father
Wife's father's brother
Wife's mother's father
Wife's mother's brother
Wife's father's brother
Seven people, A, V, C, L, E, K and N, are sitting in a row, facing north. Only four people sit to the left of E. Only four people sit to the right of L. Only one person sits between K and L. V sits to the immediate left of A. C does not sit to the left of N. Who sits third to the right of C?
A
L
E
K
A
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation? 3 B 2 D 12 A 4 C 3 = ?
6
8
12
4
6
Each letter in the word LANDMARK is arranged in alphabetical order. How many letters are there in the English alphabetical order between the letter which is fourth from the left and the one which is second from the right in the new letter cluster thus formed?
2
3
4
5
2
What should come in place of ? in the given series based on the English alphabetical order? DGYL XKTQ ROOV LSJA ?
EVDE
EWEE
FVDF
FWEF
FWEF
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-’ are interchanged and ‘x’ and ‘÷’ are interchanged? 3 ÷ 5 + 16 x 8 - 8 = ?
21
18
17
20
21
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (Note: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (5, 18, 24) (9, 22, 28)
(6, 19, 13)
(4, 17, 11)
(11, 36, 42)
(8, 21, 27)
(8, 21, 27)
In a certain code language, P + Q means ‘P is the mother of Q’ P – Q means ‘P is the sister of Q’ P x Q means ‘P is the father of Q’ P ÷ Q means ‘P is the daughter of Q’ Based on the above, how is H related to G if ‘H + S – T x G ÷ P’?
Father’s sister
Father’s mother
Mother’s mother
Sister
Father’s mother
Rajdeep ranked 64th from the top and 23rd from the bottom in his class. How many students are there in his class?
87
84
86
85
86
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
ME – HA
WO – QI
TL – NF
YQ – SK
ME – HA
In a certain code language, ‘KEPT’ is coded as ‘7523’ and ‘OKAY’ is coded as ‘4136’. What is the code for ‘K’ in that language?
1
5
3
7
3
Ay, Bk, Cv, Du, Es, Fo and Gw are sitting around a circular table facing the centre. Cv sits to the immediate right of Ay. Du sits third to the left of Ay. Bk is the immediate neighbour of Fo and Cv. Gw is not an immediate neighbour of Du. What is the position of Es with respect to Fo?
Third to the left
Immediate left
Immediate right
Second to the right
Second to the right
Natesh starts from point Y and drives 58 km towards East. He then takes a left turn, drives 28 km, turns left and drives 40 km. He then takes a left turn and drives 71 km. He takes a right turn, drives 18 km to stop at point Z. How far (shortest distance) and towards which direction should he drive in order to reach point Y again? (All turns are 90-degree turns only unless specified.)
43 km towards north
45 km towards west
39 km towards south
41 km towards north
43 km towards north
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern. CVT : DXW OBL : PDO
SKP : TLQ
DXG : EZK
NAU : OCX
HZE : IAG
NAU : OCX
Dhiraj starts from Point A and drives 11 km towards west. He then takes a right turn, drives 8 km, turns right and drives 14 km. He then takes a right turn and drives 11 km. He takes a final right turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
5 km to the west
3 km to the north
3 km to the south
3 km to the east
3 km to the north
BIRD is related to CLSG in a certain way based on the English alphabetical order. In the same way, RAIN is related to SDJQ. To which of the given options is STAR related, following the same logic?
TWCV
TWBU
UWCV
UVCU
TWBU
The position(s) of how many letters will remain unchanged if each letter in the word "VISCOMETRY" is arranged in alphabetical order?
One
Three
Two
Four
Three
What should come in place of ‘?’ in the given series?
24 35 40 51 56 ?
67
69
70
68
67
All 59 people are standing in a row facing North. Mahesh is 20th from the right end, while Kailash is 14th from the left end. How many people are there between Mahesh and Kailash?
24
23
25
26
25
Based on the alphabetical order, three of the following four are alike in a certain way and thus form a group. Which is the one that does not belong to that group? (Note: The odd man out is not based on the number of consonants/vowels or their position in the letter cluster.)
DEK
GHN
NOU
NOD
NOD
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
AB−EF
XY−AE
NO−RS
JK−NO
XY−AE
Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.
CMO : DKP WKL : XIM
OIY : PGZ
HFC : HDC
GFR : GDR
DQG : DNH
OIY : PGZ
In a certain code language, ‘GODS’ is coded as ‘7642’ and ‘DIVE’ is coded as ‘1357’. What is the code for ‘D’ in that language?
3
7
4
1
7
Refer to the following letter series and answer the question. Counting to be done from left to right.
(Left) M M C R V I K Z J N L U W X W F O Y X F G(Right)
How many such consonants are there, each of which is immediately preceded by a vowel and also immediately followed by a vowel?
One
Three
None
Two
None
Refer to the following series and answer the question (All numbers are single-digit numbers only. Counting is to be done from left to right.)
(Left) 2 8 1 3 5 2 6 7 3 4 9 6 7 8 4 1 3 4 6 (Right)
How many such even digits are there each of which is immediately preceded by an odd digit and immediately followed by an even digit?
Four
Two
Three
One
Three
A student heats 10 g of calcium carbonate in a closed container. It decomposes into 5.6 g of calcium oxide and carbon dioxide gas. What will be the mass of carbon dioxide produced?
5.0 g
15.6 g
4.4 g
10.0 g
4.4 g
The versatile nature of carbon is responsible for the formation of which of the following types of compounds?
Organic compounds
Inorganic compounds
Metallic compounds
Ionic compounds
Organic compounds
Which of the following statements about natural acid-base indicators is correct?
Red litmus turns blue in acids.
Turmeric turns red in basic solution.
Methyl orange is a natural indicator extracted from turmeric.
China rose (Hibiscus) extract turns green in bases.
Turmeric turns red in basic solution.
An echo is heard in 6 s. If the distance of the reflecting surface from the source is 990 m, then how much is the speed of sound?
660 m/s
165 m/s
330 m/s
1320 m/s
330 m/s
If the gravitational force experienced by a body of mass 'm' on the surface of Earth is 'X' N. If the mass of the body is tripled, what will be the value of the gravitational force experienced by the body?
X/9 N
X/3 N
X N
3X N
3X N
An object is placed at 100 cm on the left of a convex lens of focal length 40 cm. Where should a screen be placed to right of the lens so that the image formed is real, inverted and smaller in size as compared to the object size?
The screen should be placed at 40 cm from the lens.
The screen should be placed anywhere between 20 cm and 40 cm from the lens.
The screen should be placed anywhere between 40 cm and 80 cm from the lens.
The screen should be beyond 100 cm from the lens.
The screen should be placed anywhere between 40 cm and 80 cm from the lens.
Which of the following is a molecule formed by two atoms of the same element?
H₂
H₂O
CO
O₃
H₂
Meristematic tissue in plants is mainly characterized by:
Permanent storage cells.
Mature cells with thick walls.
Small, actively dividing cells with thin walls.
Large, highly vacuolated cells.
Small, actively dividing cells with thin walls.
Which of the following statements are correct?
2 and 4 only
1, 2, 3 and 4
1 and 2 only
1, 3 and 4 only
1, 3 and 4 only
If a velocity–time graph shows a horizontal straight line, the object is moving with ________.
No velocity
Constant velocity
Non-uniform acceleration
Zero displacement
Constant velocity
A porter lifts a 10 kg luggage from the ground and places it on his head at a height of 2.5 m. What is the work done by the porter on the luggage? (Using g =10 m/s²)
25 J
500 J
100 J
250 J
250 J
Burning of a saturated hydrocarbon will result in which type of flame?
Clean flame
Sooty flame
Yellow flame
Green flame
Clean flame
The burning of carbon to form carbon dioxide is an example of a/an:
Endothermic reaction
Photochemical reaction
Exothermic reaction
Reversible reaction
Exothermic reaction
Which structure is present in plant cells but absent in animal cells?
Cell wall
Mitochondria
Endoplasmic reticulum
Cytoplasm
Cell wall
If producers increase in number and herbivores decrease in number, what is the likely sudden consequence in the food chain?
Carnivore population will decrease due to less food.
Producers will decrease due to overgrazing.
Carnivore population will increase.
Decomposers population will decline suddenly.
Carnivore population will decrease due to less food.
A concave lens forms a virtual image when the object is placed __________.
At infinity only
At 2F only
At any position in front of the lens.
Beyond 2F only
At any position in front of the lens.
A train starts from rest and reaches a speed of 216 km/h in 10 minutes. If its acceleration is uniform, what is the value of the acceleration?
1.0 m/s²
0.6 m/s²
0.1 m/s²
0.4 m/s²
0.1 m/s²
In a velocity–time graph, the graph is a straight horizontal line at 10 m/s for 5 seconds. Then the distance travelled is ____________.
2 m
50 m
10 m
5 m
50 m
An ultrasonic wave has a frequency of 33 kHz. What will be the speed of this wave if its wavelength is 0.01 m?
3.3 m/s
33 m/s
330 m/s
0.33 m/s
330 m/s
Which of the following is the correct formula for the compound calcium phosphate?
Ca₄(PO₄)₃
Ca₃(PO₄)₂
CaPO₄
Ca₂(PO₄)₃
Ca₃(PO₄)₂
When standing still with a heavy load on your head, you expend energy and get tired. Why is zero work done on the load?
The force applied is vertical.
The time elapsed is irrelevant.
There is no displacement of the load.
Force is not being applied.
There is no displacement of the load.
In the respiratory tract, columnar epithelium possesses cilia. What is the primary function of these cilia?
To move and push mucus forward to clear it
To provide only mechanical support to the tract
To secrete substances onto the epithelial surface
To increase the surface area for absorption only
To move and push mucus forward to clear it
What is the main purpose of balanced nutrient management in crops?
To eliminate water requirements
To optimize soil fertility and crop yield
To promote weed growth
To maximize pesticide use
To optimize soil fertility and crop yield
Which of the following is a function of the Golgi apparatus?
Photosynthesis
Protein synthesis
ATP production
Packaging and secretion of materials
Packaging and secretion of materials
Which component of phloem is responsible for the transport of food in plants?
Phloem parenchyma
Companion cells
Sieve tubes
Phloem fibers
Sieve tubes
The speed of sound depends primarily on the nature and ____________ of the medium.
Volume
Pressure
Temperature
Amplitude
Temperature
What are the tiny blobs present on stick-like structures in Rhizopus called?
Spores
Hyphae
Roots
Sporangia
Sporangia
The formation of micelles in soap solution occurs due to:
hydrophobic and hydrophilic interactions in water
electrostatic attraction between ions
hydrogen bonding with water molecules
dispersion forces only
hydrophobic and hydrophilic interactions in water
Which of the following is the correct relation between the object distance (u), image distance (v) and focal length (f) of a convex lens?
(1/v) - (1/u) = 1/f
v + u = f
v - u = f
(1/v) x (1/ u) = 1/f
(1/v) - (1/u) = 1/f
Which of these is an example of a solid sol?
Coloured gem
Jelly
Cheese
Smoke
Coloured gem
If decomposers were removed from an ecosystem, what would be the most immediate consequence?
Rapid increase in herbivore population
Decrease in sunlight reaching producers
Increased plant growth due to more dead organic matter
Accumulation of waste and dead matter, disrupting nutrient cycling
Accumulation of waste and dead matter, disrupting nutrient cycling
A wooden block of mass 50 kg is placed on a smooth horizontal surface. A constant horizontal force of 'X' N is applied on it while it is at rest. The block acquires a velocity of 10 m/s in 2 s. What is the value of X?
100 N
10 N
25 N
250 N
250 N
Blood pressure is recorded as two values: _________ pressure, measured when the heart contracts, and ___________ pressure, measured when the heart relaxes.
Systolic; Diastolic
Diastolic; Venous
Maximum; Systolic
Diastolic; Systolic
Systolic; Diastolic
Read the given Assertion (A) and Reason (R) and select the most appropriate option. (A): A woman has normal ovulation and fertilisation, but the zygote is expelled without attaching to the uterine wall because implantation has failed. (R): Implantation is the process by which the blastocyst embeds in the endometrium to establish pregnancy.
A is true, but R is false
Both A and R are true, but R is not the correct explanation of A
A is false, but R is true
Both A and R are true, and R is the correct explanation of A
Both A and R are true, and R is the correct explanation of A
Which of the following practices directly contributes to crop yield improvement?
Delayed harvest
Planting the same crop year after year
Timely irrigation and fertilization
Ignoring pest signs
Timely irrigation and fertilization
Which property of connective tissue enables it to bind and support different body parts?
Presence of cilia
Presence of contractile proteins
Presence of extracellular matrix
Presence of nerve endings
Presence of extracellular matrix
A concave lens has a focal length of 15 cm. If it forms an image 10 cm from the lens, how far away is the object placed from the lens?
-25 cm
-30 cm
+30 cm
+6 cm
-30 cm
During the extraction of metals from their ores, the removal of gangue is an important preliminary step. Which of the following statements most accurately explains why different concentration methods (such as hydraulic washing, froth flotation and magnetic separation) are used for different ores?
Because gangue particles are chemically reactive and must be removed by oxidation before extraction
Because all ores have identical physical properties but different chemical compositions
Because each method exploits specific differences in physical and chemical properties between the ore and the gangue
Because the choice of concentration method depends on the melting point of the ore and gangue
Because each method exploits specific differences in physical and chemical properties between the ore and the gangue
The ratio of the unit mass of a molecule of nitrogen (N₂) to that of an oxygen molecule (O₂) is approximately:
8 : 7
7 : 8
14 : 32
28 : 16
7 : 8
What is the main advantage of using olfactory indicators?
They give exact pH values.
They change colour sharply.
They can be used for all solutions.
They are useful for visually impaired individuals.
They are useful for visually impaired individuals.
Which bank joins the India Bullion Exchange as a special category client?
Bank of India
Indian Bank
Punjab National Bank
State Bank of India
State Bank of India
Division of legislative subjects into union, state and concurrent List is contained in which of the following schedules of the Constitution of India?
Seventh Schedule
Eleventh Schedule
Ninth Schedule
Fifth Schedule
Seventh Schedule
The Constitution of India provided for how many types of emergencies in Part XVIII, from Articles 352 to 360?
Three
Four
Six
Five
Three
Under the new scheme for first-time Women, SC and ST entrepreneurs, announced in the Union Budget 2025-26, what is the maximum loan amount that can be availed?
₹1 crore
₹2 crore
₹5 crore
₹50 lakh
₹2 crore
Under the 2018 amendments in Foreign Direct Investment (FDI) policy approved by the Cabinet, the maximum Foreign Direct Investment (FDI) permitted under the automatic route in Single Brand Retail Trading (SBRT) is _____
100%
40%
60%
85%
100%
Which country launched the first indigenous, Low-Cost Gene Therapy for Sickle Cell Disease, named "BIRSA 101"?
India
Japan
China
Spain
India
At which session of the Indian National Congress did the party formally split into the Moderates and the Extremists?
Delhi session 1912
Calcutta session 1906
Bombay session 1910
Surat session 1907
Surat session 1907
The NAVYA (Nurturing Aspirations through Vocational Training for Young Adolescent Girls) initiative, launched on 24 June 2025, is for which age group?
12 - 14 years
14 - 16 years
16 - 18 years
18 - 20 years
16 - 18 years
Which dance form is performed by men wearing long colorful robes and tall conical caps in Jammu & Kashmir?
Chholiya
Hikat
Dumhal
HurkaBaul
Dumhal
With reference to fluvial geomorphic processes in the Indian subcontinent, the Indo-Gangetic Plains have been formed predominantly due to the long-term accumulation of which specific type of deposits?
Aeolian sand deposits formed under arid climatic conditions
Glacial till deposited directly by valley glaciers
Marine sediments laid down by repeated sea transgressions
Alluvial sediments deposited by Himalayan river systems
Alluvial sediments deposited by Himalayan river systems
Timed interface, section switching, instant scoring, and question-by-question analytics — free.
Start Timed Attempt