In a parallelogram two adjacent sides are in the ratio 2 : 3 and the perimeter is 60 cm. The length of each of the two shorter sides of this parallelogram is:
- ((a))
12 cm
- ((b))
13 cm
- ((c))
19 cm
- ((d))
18 cm
Show Answer
12 cm
100 questions · 90 minutes · with answers · free
In a parallelogram two adjacent sides are in the ratio 2 : 3 and the perimeter is 60 cm. The length of each of the two shorter sides of this parallelogram is:
12 cm
13 cm
19 cm
18 cm
12 cm
1 kW power is equal to ________. (kW stands for kilowatt.)
1 J/s
1000 J/s
10 J/s
100 J/s
1000 J/s
A and B invest ₹30,000 and ₹24,000, respectively, for one year. If they get a profit of ₹13,500, then the share of A in the profit will be:
₹7,500
₹9,450
₹9,000
₹6,000
₹7,500
Which of the following is NOT an example of homogeneous mixture?
A mixture of copper sulphate in water
A mixture of sugar in water
A mixture of salt in water
A mixture of iron nails in water
A mixture of iron nails in water
Consider a parallel combination of 3 resistors R₁, R₂ and R₃, with currents I₁, I₂ and I₃, respectively. Which of the following is true? (I = total current, Req = equivalent resistance of the circuit)
Req = R₁ + R₂R₃ / (R₂ + R₃)
I = I₁ + I₂ + I₃
1/I = 1/I₁ + 1/I₂ + 1/I₃
Req = R₃ + R₂R₁ / (R₂ + R₁)
I = I₁ + I₂ + I₃
The power input in a circuit P can be expressed in terms of voltage V and current I in the circuit as follows:
P = V/I
P = V²/I
P = VI
P = V²I
P = VI
What is the measure of each exterior angle of a regular octagon?
30°
60°
45°
80°
45°
Who took oath as Chief Minister for the second time and the first to assume office after the scrapping of Article 370 in Jammu and Kashmir?
Mehbooba Mufti
Shri Farooq Abdullah
Shri Manoj Sinha
Shri Omar Abdullah
Shri Omar Abdullah
The danger signal lights are usually red in colour because red is:
highest reflected by fog or smoke
least scattered by fog or smoke
not scattered at all by fog or smoke
highest scattered by fog or smoke
least scattered by fog or smoke
Which of the following can increase the work done by a force on an object?
Increasing the displacement.
Reducing the displacement.
Reducing the force.
Reducing the mass.
Increasing the displacement.
Identify the INCORRECT statement about muscle tissue.
Muscle tissues are made up of cuboidal cells.
Special contractile proteins are present in muscles.
Microscopes reveal alternate light and dark bands in voluntary muscles.
The limbs have voluntary muscles.
Muscle tissues are made up of cuboidal cells.
The average of thirteen consecutive integers is 36. If two times the smallest of these 13 integers is added to the largest of these 13 integers, what will be the sum obtained?
102
115
121
110
102
In a certain code language, 'ROAM' is coded as '2835' and 'MORE' is coded as '4538'. What is the code for 'A' in the given code language?
3
8
5
2
2
If A means +, B means -, C means ×, D means ÷, then what will come in place of the question mark (?) in the following equation?
21 D 3 B 4 C 5 A 22 = ?
10
8
9
7
9
What is the SI unit of universal gravitational constant G?
N m²/kg⁻¹
N m²/kgs⁻¹
N kgm²
N m²/kg²
N m²/kg²
Which of the following unicellular organism change their shape?
Yeast
Amoeba
Paramoecium
Bacteria
Amoeba
While subtracting 4 from -3/13, the resultant value is:
-53/13
-55/13
-51/13
-54/13
-55/13
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 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.)
OJ-MP
SN-QU
QL-OR
UP-SV
SN-QU
Two pipes A and B can fill the tank in 40 and 60 minutes, respectively. Both the pipes are opened together. After how many minutes should the pipe B be turned off, so that the tank be fill in 30 minutes?
15 min
25 min
20 min
28 min
15 min
What is the title of the book by Nandan Kamath that won the Sports Book of the Year award in 2024?
Playing It My Way
Boundary Lab
Spirit of Sports
The Winning Mindset
Boundary Lab
What was India’s rank in the 2024 Global Hunger Index (GHI), a tool used to measure and track hunger at the global, regional and national levels?
105
119
111
110
105
Which of the following is/are called biological catalysts?
Digestive juices
Enzymes
Hydrochloric acid
Mucus
Enzymes
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements: Some pulses are flours. All biscuits are curds. All biscuits are flours.
Conclusions: (I) All flours are curds. (II) Some biscuits are pulses.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
The term ‘Catenation’ is used to define a unique property of carbon. Which of the following gives the correct definition of catenation?
Unique ability to form bonds with other atoms of hydrogen.
Unique ability to form bonds with other atoms of carbon.
Unique ability to form bonds with other atoms of oxygen.
Unique ability to form bonds with other atoms of nitrogen.
Unique ability to form bonds with other atoms of carbon.
Which of the following forms a common passage for both the sperms and urine in males?
Scrotum
Urethra
Urinary bladder
Vas deferens
Urethra
The average of Kanchan's marks in 7 subjects is 75. Her average in six subjects excluding Science is 72. How many marks did she get in Science?
90
93
95
72
93
Which new initiative was launched by the government on National Sports Day 2024?
Retired Sportsperson Empowerment Training (RESET) Programme
National Fitness Challenge
Fit India Movement
National Sports Scholarship Scheme
Retired Sportsperson Empowerment Training (RESET) Programme
What is the value of x for balanced chemical equation 3Fe + xH₂O → Fe₃O₄ + 4H₂ ?
5
1
3
4
4
(a - b)³ + (b - c)³ + (c - a)³ = ?, which of the following should come in place of ? so that relation always holds true?
2(a - b) (b - c) (c - a)
(a + b + c) (a² + b² + c² - ab - bc - ca)
3(a - b)(b - c)(c - a)
(a - b) (b - c) (c - a)
3(a - b)(b - c)(c - a)
Refer to the given series and answer the question that follows (all numbers are single-digit numbers only, and all counting is to be done from left to right).
(Left) 2 2 4 8 2 4 6 4 2 6 8 8 6 7 4 5 3 6 2 8 7 1 3 3 6 8 6 4 (Right)
How many such odd digits are there, each of which is immediately preceded by a perfect square and immediately followed by an even digit?
(Note: 1 will be considered as a perfect square.)
1
0
4
2
0
The greatest number among √2, 3^(1/3), 4^(1/4) is:
All are equal
4^(1/4)
3^(1/3)
√2
3^(1/3)
Most mature plant cells have a ______ that helps to maintain the turgidity of the cell and store important substances including wastes.
small ribosome
large central vacuole
leucoplasts
chromoplasts
large central vacuole
Find one-third part of a number whose one-third part exceeds the one-fifth part by 6.
24
15
5
45
15
Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern.
UQ-VR-WY RN-SO-TV
NK-PL-QR
OK-PL-QS
NK-PM-QS
OK-PM-QR
OK-PL-QS
If the roots of a plant always grow downwards due to geotropism, then the growth of pollen tubes towards ovules is due to __________.
phototropism
geotropism
hydrotropism
chemotropism
chemotropism
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 its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(12, 38, 26) (50, 75, 25)
(8, 32, 7)
(21, 40, 15)
(9, 28, 16)
(14, 42, 28)
(14, 42, 28)
Which of the following is NOT an abiotic component of the ecosystem?
Rainfall
Grass
Wind
Soil
Grass
The fragmentation method of reproduction is shown in __________.
Spirogyra
Amoeba
Plasmodium
Hydra
Spirogyra
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 its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(25, 5, 20) (40, 8, 32)
(100, 16, 64)
(80, 16, 60)
(80, 16, 64)
(80, 14, 64)
(80, 16, 64)
At which event was Ram Charan awarded the title of Ambassador for Indian Art and Culture?
Cannes Film Festival 2024
Toronto International Film Festival 2024
Indian Film Festival of Melbourne (IFFM) 2024
International Film Festival of India 2024
Indian Film Festival of Melbourne (IFFM) 2024
ATP is broken down giving rise to a fixed amount of energy that can drive the endothermic reactions taking place in which cell organelle of a cell?
Mitochondria
Ribosome
Chloroplast
Lysosome
Mitochondria
Refer to the given series and answer the question that follows (all numbers are single-digit numbers only, and all counting is to be done from left to right).
(Left) 2 1 6 8 3 9 5 2 7 6 3 2 9 9 7 3 9 6 4 6 3 2 6 2 2 0 3 4 7 2 (Right)
How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?
5
4
2
3
4
CaO(s) + H₂O(l) → Ca(OH)₂(aq) + Heat, this reaction is called:
decomposition reaction
combination reaction
Wurtz fittig reaction
Wurtz reaction
combination reaction
In a certain code language, 'BEAM' is coded as '9483' and 'DAME' is coded as '9683'. What is the code for 'B' in the given code language?
4
8
9
3
4
Which of the following colours of light is bent through a minimum angle when passing through a glass prism?
Green
Violet
Yellow
Blue
Yellow
When three parallel lines are cut by two transversals and the intercepts made by the first transversal are in the ratio 3 : 5, then the intercepts made by the second transversal are in the ratio _________.
3 : 5
9 : 25
3 : 2
1 : 1
3 : 5
If the matrix of bone cells contains calcium and phosphorus compounds, then what do we find in the matrix of cartilage?
Proteins and sugars
Proteins and fats
Phosphorus and sugars
Calcium and sugars
Proteins and sugars
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster 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)
EMS
AHO
HOV
VCJ
EMS
The simplified value of √1.0816 is:
0.904
1.35
1.286
1.04
1.04
At what rate (in percentage) per annum will ₹1,300 give ₹520 as simple interest in 8 years?
8%
7%
4%
5%
5%
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
HLG, KOJ, NRM, QUP, ?
TXS
XST
XTS
TSX
TXS
A 70 cm long wire is to be cut into two pieces so that one piece will be ⅖ of the other. How many centimetres will the shorter piece be?
10 cm
25 cm
30 cm
20 cm
20 cm
By which unit do the successive members of the homogenous series CH₄, C₂H₆, and C₃H₈ differ from each other?
CH₃
CH
CH₄
CH₂
CH₂
Parbati Baruah was awarded the Padma Shri-2024. For which achievement is she known?
Lion conservation
Rhino conservation
First woman mahout
Tiger conservation
First woman mahout
Two numbers are respectively 30% and 37% less than a third number. What percentage of the first number is the second number?
10%
80%
90%
20%
90%
Nayab Singh Saini was appointed the Chief Minister of _____ in October 2024.
Himachal Pradesh
Haryana
Jharkhand
Punjab
Haryana
Simplify the given expression.
10 + 8 + 6 - 48 ÷ (4 × 6)
-1
22
26
12
22
Seven people, A, B, E, G, P, Q and R, are sitting in a row, facing north. Only two people sit to the left of B. Only three people sit between B and R. P sits second to the right of B. Only two people sit between P and A. G sits at some place to the right of E but at some place to the left of Q. How many people sit to the right of G?
Three
Four
One
Two
Three
D, E, F, G, L, M and N are sitting around a circular table facing the centre. F sits third to the left of L. N sits second to the left of E. L is an immediate neighbour of both D and N. G is not an immediate neighbour of F. How many people sit between M and N when counted from the right of M?
Four
Three
One
Two
Two
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
MPL, ORN, QTP, SVR, ?
UXT
XTU
UTX
XUT
UXT
After fertilisation, which of the following develops a tough coat, is gradually converted into a seed and the zygote divides several times to form an embryo within it?
Ovary
Gynoecium
Ovule
Pistil
Ovule
Which of the following reactions is an example of double displacement reaction?
Fe(s) + CuSO₄ (aq) → FeSO₄ (aq) + Cu(s)
Na₂ SO₄ (aq) + BaCl₂ (aq) → BaSO₄ (s) + 2NaCl (aq)
Pb(s) + CuCl₂ (aq) → PbCl₂ (aq) + Cu(s)
Zn(s) + CuSO₄ (aq) → ZnSO₄ (aq) + Cu(s)
Na₂ SO₄ (aq) + BaCl₂ (aq) → BaSO₄ (s) + 2NaCl (aq)
The value of sin² θ + cos² θ - (sec² θ - tan² θ) + tan θ cos θ + sin θ is __________.
sec² θ
2sinθ
-1
0
2sinθ
Ramesh has borrowed an amount of ₹2,00,000 from a bank to start a business. How much simple interest will he pay at a rate of 11% per annum after 2 years?
₹44,000
₹44,600
₹45,500
₹46,000
₹44,000
After getting two successive discounts, a shirt with a list price of ₹150 is available at ₹105. If the second discount is 12.5%, then find the first discount.
25%
20%
15%
12%
20%
Which of the following banks launched a special debit card for visually impaired customers in October 2024?
State Bank of India
Punjab National Bank
HDFC Bank
Canara Bank
Punjab National Bank
The cause of being the refractive index(μ) of transparent medium > 1, is:
Speed of light in vacuum > speed of light in transparent medium
Speed of light in vacuum < speed of light in transparent medium
Wavelength of light gets change as it moves from denser to rarer medium
Speed of light in vacuum = speed of light in transparent medium
Speed of light in vacuum > speed of light in transparent medium
If the cross-sectional area of a conductor is doubled, other factors remaining the same, the resistivity of the conductor will be:
same
one fourth
halved
doubled
same
Which of the following statements is correct for a homogeneous mixture of sugar in water?
Water is the solvent.
Sugar is the solvent.
Water is the solute.
Both water and sugar are solvents.
Water is the solvent.
Evaluate the given expression.
5 × 3 - 12 ÷ 4 + 8
4
3
20
14
20
Swarna runs at a speed of 10 km/h. How long will she take to cover 200 m?
120 seconds
54 seconds
90 seconds
72 seconds
72 seconds
Which of the following elements does NOT usually form molecules and is found in its atomic form?
Hydrogen
Helium
Nitrogen
Oxygen
Helium
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements: Some games are boards. No board is a dice. No remote is a game.
Conclusions: (I) No game is a dice. (II) Some remotes are boards.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
A retailer permits a trade discount of 25%, followed by a cash discount of 8%, on an article. The net percentage of discount is:
33%
34%
32%
31%
31%
Lavanya got married 10 years ago. Now her age is 1 ⅕ times her age at the time of marriage. Her son's present age is one-tenth of her present age. Find her son's present age.
6 years
5 years
20 years
12 years
6 years
Which of the following scientists proposed the ‘Law of Constant Proportions’?
JJ Thomson
Joseph Proust
Ernest Rutherford
E Goldstein
Joseph Proust
Refer to the given series and answer the question that follows (all numbers are single-digit numbers only, and all counting is to be done from left to right).
(Left) 3 5 5 7 1 6 1 8 8 7 6 2 2 5 9 8 1 1 5 3 3 2 8 1 7 9 2 (Right)
How many such even digits are there each of which is immediately preceded by a perfect square and immediately followed by an odd digit? (Note: 1 will be considered as a perfect square.)
0
2
3
4
2
Which of the following describes dendrites?
Short and branched
Long and branched
Short and unbranched
Long and unbranched
Short and branched
In which of the following situations is potential energy being stored?
Pushing a vehicle on the plane road
Moving a pencil across a table
Stretching a rubber band
Lighting a matchstick
Stretching a rubber band
Two numbers are less than a third number by 30% and 37%, respectively. By what percentage is the second number less than the first?
15%
8%
12%
10%
10%
On 30th September 2024, Union Minister for Information and Broadcasting Ashwini Vaishnaw announced that the jury had selected veteran film actor ______________ as the recipient of the prestigious Dadasaheb Phalke Lifetime Achievement Award for 2022.
Rajinikanth
Mithun Chakraborty
Shah Rukh Khan
Asha Bhosle
Mithun Chakraborty
In a certain code language, ‘A + B’ means ‘A is the mother of B’, ‘A – B’ means ‘A is the brother of B’, ‘A x B’ means ‘A is the wife of B’ and ‘A ÷ B’ means ‘A is the father of B’. How is H related to L if ‘H + J x K ÷ M – L’?
Wife's mother
Mother's sister
Mother's mother
Father's mother
Mother's mother
The centre of curvature of a concave mirror lies _______ the mirror, whereas it lies _______ the mirror for a convex mirror.
behind, behind
behind, in front of
in front of, in front of
in front of, behind
in front of, behind
Which of the following options represents the number of neutrons present in aluminium?
13
14
15
27
14
SDFG is related to YJKM in a certain way based on the English alphabetical order. In the same way, QBZE is related to WHEK. To which of the following options is ITOW related, following the same logic?
OZTC
HBCT
RYOM
MJVY
OZTC
Identify the name of an alloy formed when mix of copper and tin (Cu and Sn)?
Brass
Solder
Gold
Bronze
Bronze
Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 81, 108.6, 136.2, 163.8, ?
198.2
191.4
183.6
174.8
191.4
The motion of the moon around the earth is due to the:
Centripetal force
Coriolis force
Coulomb force
Centrifugal force
Centripetal force
Select the correct statement related to the characteristics of prokaryotic cell.
It has more than one chromosome.
Nuclear region is well defined and surrounded by nuclear membrane.
It has a single chromosome.
Membrane bound cell organelles are present.
It has a single chromosome.
Gautam starts from Point A and drives 30 km towards South. He then takes a left turn, drives 15 km, turns left and drives 42 km. He then takes a left turn and drives 7 km. He takes a final left turn, drives 12 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 degree turns only unless otherwise specified.)
5 km towards West
8 km towards West
10 km towards West
10 km towards East
8 km towards West
Which of the following chemical reactions represents the displacement reaction?
2AgCl(s) → 2Ag(s) + Cl₂(g)
C(s) + O₂(g) → CO₂(g)
CaO(s) + H₂O(l) → Ca(OH)₂(aq)
Zn(s) + CuSO₄(aq) → ZnSO₄(aq) + Cu(s)
Zn(s) + CuSO₄(aq) → ZnSO₄(aq) + Cu(s)
What will come in the place of the question mark '?' in the following equation, if '+' and '÷' and '-' and '×' are interchanged? 11 + 12 ÷ 4 - 5 × 6 = ?
22
28
16
20
20
B, C, D, E, F, K and L are sitting around a circular table, facing the centre. D sits to the immediate right of E. Only three people sit between E and L. B sits to the immediate right of C. Only three people sit between D and F when counted from the left of D. How many people sit between K and C when counted from the left of C?
Four
One
Two
Three
Two
Study the following chart and answer the question that follows.
What is the absolute difference between the export by company X in February and export by company Y in April?
10 crore
20 crore
5 crores
15 crore
20 crore
Which of the following after fertilisation grows rapidly and ripens to form a fruit. Meanwhile, the petals, sepals, stamens, style and stigma may shrivel and fall off?
Ovule
Ovary
Gynoecium
Pistil
Ovary
In this question, a statement is followed by two courses of actions, numbered I and II. You must assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the course of action/s logically follow for pursuing. Statement – In City X, the number of car accidents has spiked recently due to poor road conditions and lack of adequate signage. I. The city should launch an awareness campaign to educate drivers on safe driving practices. II. Immediate Road repair and installation of proper signage should be carried out.
Only I follows
Neither I nor II follows
Both I and II follow
Only II follows
Only II follows
TakeMe2Space (TM2Space), an innovative space technology firm, is based in which city of India?
New Delhi
Kolkata
Hyderabad
Chennai
Hyderabad
Where should the object be placed around the concave mirror to ensure that the size of the image is the same as the size of the object?
Between focus F and centre of curvature C
At focus F
At C, centre of curvature
Between focus F and pole P
At C, centre of curvature
Two pipes C and D can fill a tank in 6 hours and 9 hours, respectively. They are opened alternately for 1 hour each, starting with C first. In what duration, will the tank be filled?
5 hours
6 hours
8 hours
7 hours
7 hours
A student in a lab noted the pH value of a solution to be 10. Which of the following statements is correct about a solution?
A solution is basic with a high hydrogen ion concentration.
A solution is acidic with a high hydrogen ion concentration.
A solution is basic with a high hydroxide ion concentration.
A solution is acidic with a high hydroxide ion concentration.
A solution is basic with a high hydroxide ion concentration.
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