Held in 2024
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The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:
36 cm²
72 cm²
38 cm²
76 cm²
Correct answer
36 cm²
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
RJZ, PMW, NPT, LSQ, ?
IVN
JVN
JUN
IVM
Correct answer
IVN
A sum of money, on compound interest, amounts to ₹578.40 in 2 years and to ₹614.55 in 3 years. The rate of interest per annum, in case of annual compounding, is:
8 ⅓%
6 ¼%
4%
5%
Correct answer
8 ⅓%
The problem of myopia in human eye can be corrected by using:
a biconvex lens of suitable power
a plain glass plate
a concave lens of suitable power
a convex lens of suitable power
Correct answer
a biconvex lens of suitable power
Anju ranked 18th from the bottom and 15th from the top in his class. How many students are there in his class?
32
33
31
21
Correct answer
32
The distance between the pole and focus of a spherical mirror, in terms of its radius of curvature R, is equal to:
R/2
R/4
2R
R
Correct answer
R/2
On 26 June 2024, the Defence Research and Development Organisation (DRDO) handed over which of the following to the Indian Navy?
Long Range Surface-to-Air Missile
Advanced Torpedo
Anti-Submarine Warfare Helicopter
Medium Range-Microwave Obscurant Chaff Rocket (MR-MOCR)
Correct answer
Long Range Surface-to-Air Missile
Which of the following solutions is identified by smell?
Sugar in water
Salt in water
Potassium permanganate in water
Dettol in water
Correct answer
Sugar in water
In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(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.)
X : 23 : : 476 : Y
X = 322, Y = 34
X = 368, Y = 27
X = 346, Y = 29
X = 314, Y = 21
Correct answer
X = 322, Y = 34
What is the least positive number that can be added to 2488 so that it is completely divisible by 3, 4, 5 and 6?
34
28
32
42
Correct answer
34
Which of the following teams was the winner of the 17th Edition of Indian Premier league in 2024?
Kolkata Knight Riders
Mumbai Indians
Delhi Capitals
Gujarat Titans
Correct answer
Kolkata Knight Riders
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?
121 C 21 D 11 A 11 B 121 = ?
11
31
21
41
Correct answer
11
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
8 × 2 + 3 − 2 ÷ 6 = ?
14
11
12
13
Correct answer
14
If the perimeters of two similar triangles ABC and DEF are 75 cm and 40 cm respectively, and if \(\overline{BC} \)is 15 cm, then the length of \(\overline{EF}\) is:
6 cm
10 cm
12 cm
8 cm
Correct answer
6 cm
Which of the following formulas is used to calculate the volume by volume percentage of a solution?
\(\frac{\text{Mass of solute}}{\text{Volume of solution}} \times 100\)
\(\frac{\text{Mass of solute}}{\text{Mass of solution}} \times 100\)
\(\frac{\text{Volume of solute}}{\text{Volume of solution}} \times 100\)
\(\frac{\text{Volume of solution}}{\text{Mass of solute}} \times 100\)
Correct answer
\(\frac{\text{Mass of solute}}{\text{Volume of solution}} \times 100\)
A ball of mass 0.5 kg is thrown vertically upwards and rises to a height of 20 m. The approximate initial velocity of the ball is:
20 m/s
15 m/s
25 m/s
10 m/s
Correct answer
20 m/s
HD Kumaraswamy, who won from Mandya parliamentary seat in Karnataka in 2024 general elections and became Minister of Heavy Industries, belongs to which political party?
Bhartiya Janata Party
Janata Dal (S)
Communist Party of India
BSR Congress
Correct answer
Bhartiya Janata Party
In an election between two candidates, one got 55% of the total valid votes and 20% of the votes were invalid. If the total number of votes was 7500, then the winner won the election by a majority of ______ votes.
750
800
600
700
Correct answer
750
Which of the following is a cup-shaped part of nephron with which each capillary cluster in the kidney is associated?
Proximal convoluted tubule
Bowman's capsule
Distal convoluted tubule
Glomerulus
Correct answer
Proximal convoluted tubule
In an election, only two candidates contested. One candidate secured 70% of the valid votes and won by a majority of 172 votes. The total number of valid votes was:
570
560
430
480
Correct answer
570
The _____ moves water and minerals obtained from the soil while ______ transports products of photosynthesis from the leaves where they are synthesised to other parts of the plant.
collenchyma, parenchyma
phloem, xylem
parenchyma, collenchyma
xylem, phloem
Correct answer
collenchyma, parenchyma
Seven people, A, B, C, D, E, F and G are sitting in a row, facing north. E sits third from the left end. Only three people sit between G and E. B is the immediate neighbour of C and F. D sits second to the left of C.
How many people sit between A and F?
One
Four
Three
Two
Correct answer
One
Which of the following carbon compounds is classified as an alcohol?
Propanal
Propanol
Propanoic
Propanone
Correct answer
Propanal
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 9 # 1 * £ 2 & % 4 @ 6 8 $ 7 & 3 2 5 (Right)
How many such numbers are there, each of which is immediately preceded by a number and also immediately followed by a symbol$?
Two
More than two
Zero
One
Correct answer
Two
What happens when acid is mixed with water?
It will increase the concentration of hydronium ions per unit volume.
It will increase the concentration of hydroxyl ions per unit volume.
There will be no effect on the concentration of ions.
It will decrease the concentration of hydronium ions per unit volume.
Correct answer
It will increase the concentration of hydronium ions per unit volume.
FKUZ is related to CORD in a certain way based on the English alphabetical order. In the same way, QJKH is related to NNHL. To which of the following options is JIBP related, following the same logic?
HOZS
HMZU
GMYT
FNAT
Correct answer
HOZS
What repo rate was declared by the Reserve Bank of India's Monetary Policy Committee (MPC) on 9th October 2024?
6.25%
6.10%
6.75%
6.50%
Correct answer
6.25%
\(\text{If } \cos^4 \theta - \sin^4 \theta = k, \text{ then the value of } \frac{1-k}{1+k} \text{ is:}\)
tan²θ
sin²θ
cot²θ
cosec²θ
Correct answer
tan²θ
DIJH is related to KPQO in a certain way based on the English alphabetical order. In the same way, MRSQ is related to TYZX. To which of the following options is BGHF related, following the same logic?
IMQN
INOM
JMON
JNQM
Correct answer
IMQN
In this question, two statements, I and II, have been given. These statements maybe independent causes, or effects of independent causes or a common cause. One of the statements maybe the effect of the other statement. Read both 1 the statements and select the correct answer.
I. Government authorities of city X are finding different solutions to reduce air pollution in the city during winter.
II. City X has seen an acute rise in asthma cases during the last winter.
Both I and II are independent causes.
Both I and II are effects of independent causes.
I is the cause and II is its possible effect.
II is the cause and I is its possible effect.
Correct answer
Both I and II are independent causes.
The kinetic energy possessed by a body of mass 2 kg is 100 J. The velocity of the body will be:
10 m/s
0 m/s
50 m/s
20 m/s
Correct answer
10 m/s
A man sells 320 mangoes at the cost price of 400 mangoes (Cost price of all the articles is same. Selling price of all the articles is same). His gain percentage is:
10%
25%
20%
15%
Correct answer
10%
Select the process responsible for stability of populations of species.
Reproduction
Mutation
Evolution
Variation
Correct answer
Reproduction
\(\text{The value of } (0.04)^{-1.5} \text{ is:}\)
25
250
625
125
Correct answer
25
Which of the following conditions is required to have the value of displacement of an object zero?
When the initial and final position of the object is the same.
When distance travelled is equal to the displacement of the object.
When distance travelled is less than the displacement of the object.
When distance travelled is greater than the displacement of the object.
Correct answer
When the initial and final position of the object is the same.
In 2024, which program organised youth exchange visits across states, focusing on the '5 Ps'; namely Paryatan (Tourism), Parampara (Traditions), Pragati (Development), Paraspar Sampark (People-to-people connect) and Prodyogiki (Technology)?
Bharat Parv
Yuva Sangam
India Unites
National Youth Exchange
Correct answer
Bharat Parv
On which date did India and the USA sign their first-ever Cultural Property Agreement (CPA)?
20 June 2024
10 August 2024
26 July 2024
15 May 2024
Correct answer
20 June 2024
The sum of five consecutive even numbers is 3720. The sum of the third largest and the largest even numbers among them is:
1392
1488
1492
1388
Correct answer
1392
When 0.292929...... is converted into a fraction, then the result is:
\(\quad \frac{1}{5}\)
\(\quad \frac{29}{99}\)
\(\quad \frac{2}{9}\)
\( \quad \frac{29}{100}\)
Correct answer
\(\quad \frac{1}{5}\)
The volume of a cylinder is 5500 m3. Find its diameter of base if the height of the cylinder is 70 m. [Use \(\pi = \frac{22}{7}\)]
12 m
8 m
10 m
5 m
Correct answer
12 m
Which of the following options should come in place of the question mark (?) in the given series?
75 65 56 48 41 ?
34
31
35
33
Correct answer
34
The shopkeeper offers two successive discounts on a machine that is marked at ₹18,000 so that its selling price gets reduced to ₹12,960. If 10% and x % are the respective discounts, the value of x is:
20
10
15
12
Correct answer
20
Subtract the sum of 2x - 3y + 7z and 4z - 5x from 13x - z.
3x + 3y - 3z
x + 12y - 12z
4x + 7y
16x + 3y - 12z
Correct answer
3x + 3y - 3z
If a : b = 3 : 4 and b : c = 2 : 3 , then a : b : c = ?
4 : 2 : 3
4 : 3 : 6
3 : 4 : 6
3 : 4 : 3
Correct answer
4 : 2 : 3
When did the Department for Promotion of Industry and Internal Trade (DPIIT) organise the Startup India Innovation Week 2024?
12 January 2024 to 20 January 2024
11 January 2024 to 19 January 2024
13 January 2024 to 21 January 2024
10 January 2024 to 18 January 2024
Correct answer
12 January 2024 to 20 January 2024
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.)
XR - CW
ZT - PG
TN - YS
BV - GA
Correct answer
XR - CW
The ages of Anita and Sunita differ by 30 years. If 5 years ago, Anita was 3 times as old as Sunita, then the present age of Sunita is:
30 years
25 years
20 years
35 years
Correct answer
30 years
Pradhan Mantri Janjatiya Unnat Gram Abhiyan will improve the socio-economic condition of tribal communities, covering around _____ villages as per Union Budget 2024-25.
76,000
63,000
56,000
53,000
Correct answer
76,000
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 M related to T if 'M - N + P ÷ S x T'?
Wife's father's brother
Wife's father's father's brother
Wife's father's mother's father
Wife's father's mother's brother
Correct answer
Wife's father's brother
If the length of a conductor is tripled, keeping other factors same, the resistance of the conductor will be:
one-sixth
tripled
one third
same
Correct answer
one-sixth
Venu starts from Point Y and drives 7 km towards south. He then takes a left turn, drives 15 km, turns right and drives 38 km. He then takes a left turn and drives 13 km. He takes a left turn, drives 31 km. He then turns left, drives 28 km, turns left and drives 13 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 degrees turns only unless specified)
24 km towards south
28 km towards east
20 km towards south
27 km towards north
Correct answer
24 km towards south
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 ribbons are balloons.
Some balloons are eagles.
Conclusions:
(I) All eagles are ribbons.
(II) No ribbons are eagles.
Neither conclusion (I) nor (II) follows
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Only conclusion (II) follows
Correct answer
Neither conclusion (I) nor (II) follows
Study the following table and answer the question.
The table depicts the number of cars and bikes manufactured by a company in the year 2012 and 2013.
| Years | Number of cars (In Thousand) | Number of bikes (In Thousand) |
|---|---|---|
| 2012 | 45 | 50 |
| 2013 | 40 | 60 |
How many cars (In Thousand) were manufactured in the year 2012 and 2013 together?
75
85
105
95
Correct answer
75
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 trees are flowers.
All flowers are leaves.
Conclusions:
(I) All leaves are trees.
(II) All flowers are trees.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Correct answer
Neither conclusion (I) nor (II) follows.
The atomic radius of a hydrogen atom is:
10⁻¹⁰ m
10⁻⁷ m
10⁻⁸ m
10⁻⁹ m
Correct answer
10⁻¹⁰ m
What type of reaction occurs when limestone gets converted into quicklime on heating?
Decomposition
Combination
Displacement
Double displacement
Correct answer
Decomposition
The sum of the first 8 prime numbers divided by 7 is equal to ______.
14
13
11
10
Correct answer
14
In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(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.)
X : 58 : : 430 : Y
X = 355, Y = 85
X = 295, Y = 85
X = 310, Y = 70
X = 260, Y = 90
Correct answer
X = 355, Y = 85
According to the Economic Survey 2023-24, India's cumulative installed solar power capacity reached ____ on 30 April 2024, after adding 15.03 GW in 2023-24.
89.64 GW
86.64 GW
80.64 GW
82.64 GW
Correct answer
89.64 GW
Rama walks to her office 5 km away from home. In the morning, she covers the distance in 1 hour whereas, while returning home in the evening, she takes 15 more minutes to cover the same distance. Find her average speed (in km/h) during the two-way journey.
\(3 \frac{3}{5}\)
\(4 \frac{4}{9}\)
\(3 \frac{1}{8}\)
\(4 \frac{2}{3}\)
Correct answer
\(3 \frac{3}{5}\)
In a certain code language, ‘MEANS’ is coded as ‘75821’, ‘RANGE’ is coded as ‘84592’, and ‘PRIME’ is coded as ‘64237’. What is the code for ‘G’ in the given code language?
5
4
9
8
Correct answer
5
For current carrying circular loop, the field strength is:
maximum at the centre
maximum at the periphery
undetermined at the periphery
minimum at the centre
Correct answer
maximum at the centre
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
ORN, PSO, QTP, RUQ, ?
VSR
SUR
USR
SVR
Correct answer
VSR
Who among the following were the co-flag bearers for India in the closing ceremony of Paris Olympics 2024?
Manu Bhaker and Neeraj Chopra
Swapnil Kusale and Aman Sehrawat
Neeraj Chopra and PR Sreejesh
Manu Bhaker and PR Sreejesh
Correct answer
Manu Bhaker and Neeraj Chopra
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.)
KM-PJ
OQ-TN
IK-NH
GI-LE
Correct answer
KM-PJ
A can complete a piece of work in 20 days and B can do the same work in 15 days. B worked alone for 6 days and left. In how many days can A complete the remaining work alone?
10
12
10/2
16
Correct answer
10
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 1 $ 7 & 3 4 6 @ 8 Ω % 9 # * £ 2 & 5 (Right)
How many such numbers are there, each of which is immediately preceded by a symbol and also immediately followed by a symbol$?
Two
One
Zero
Four
Correct answer
Two
A, B, C, D, E and F are sitting around a circular table facing the centre. D sits to the immediate left of F. B is the immediate neighbour of C and F. A is the immediate neighbour of E and C.
What is the position of D with respect to E?
Third to the left
Third to the right
Second to the left
Immediate right
Correct answer
Third to the left
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) * 9 # 1 £ 2 4 & 3 Ω 6 @ 8 $ 7 5 & % (Right)
How many such symbols are there, each of which is immediately preceded by a symbol and also immediately followed by a number$?
One
Two
More than two
Zero
Correct answer
One
In the food vacuole of which organism, complex substances are broken down into simpler ones which then diffuse into the cytoplasm?
Amoeba
Lichen
Plasmodium
Spirogyra
Correct answer
Amoeba
In a certain code language, ‘PING’ is coded as ‘7953’ and ‘NOSE’ is coded as ‘4638’. What is the code for ‘N’ in the given code language?
5
6
3
4
Correct answer
5
In which organism does cell division or fission lead to the creation of new individuals?
Mammals
Plants
Unicellular organisms
Reptiles
Correct answer
Mammals
Which of following compounds is used as an ingredient in antacids?
Nitric acid
Sodium chloride
Copper sulphate
Sodium hydrogen carbonate
Correct answer
Nitric acid
The value of K, satisfying the equation \(\frac{0.009}{K}\) = 0.01 is:
0.0009
0.09
0.9
9
Correct answer
0.0009
Which of the following is the specialised cell that conducts information via electrical impulses from one part of the body to another?
Nucleus
Neuron
Dendrite
Axon
Correct answer
Nucleus
75 questions in the full paper