Calculate the smallest five-digit number divisible by 9, 11 and 21.
- ((a))
10,390
- ((b))
10,385
- ((c))
10,395
- ((d))
10,830
Show Answer
10,390
120 questions · 90 minutes · with answers · free
Calculate the smallest five-digit number divisible by 9, 11 and 21.
10,390
10,385
10,395
10,830
10,390
Evaluate: 41 - [36 - {48 ÷ 2 - (5 - 10 ÷ 2) ÷ 3}]
31
28
29
30
31
An amount of ₹968 is divided among three persons in the ratio of 16 : 13 : 15. The difference between the largest and the smallest shares (in ₹) in the distribution is:
66
28
85
20
66
If the distance between A and B is 1084 Km. From A, Vishal goes to B with speed 104 km/h and return to A with the speed 112 km/h. Find the average speed of Vishal. (rounded off to two decimal place)
102.18 km/h
110.64 km/h
110.52 km/h
107.85 km/h
102.18 km/h
The population of a small city decreased every year due to water contamination. The present population of the town is 1,39,650. Last year, the migration was 2%, and the year before last, it was 5%. What was the population of the city two years ago?
1,45,000
1,50,000
1,25,000
1,55,000
1,45,000
Two banks, A and B, offered loans at 3.5% and 6% per annum, respectively. Chetan borrowed an amount of ₹420000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by Chetan after 2 years.
20500
21000
22000
22500
20500
An article is sold at a profit of 17%. If the selling price is doubled, the profit will be:
68%
200%
134%
34%
68%
The sum of 8 numbers is 888. Find their average.
110
111
112
109
110
The least number which should be added to 6424 so that the sum is exactly divisible by 8, 9 and 12 is:
56
46
26
36
56
Find the value of 18-13 ÷ 1818 × 18-3
18-40
18-41
18-29
18-34
18-40
A hollow spherical shell is made of a metal of density 9 g/cm3. Its internal and external radius are 10 cm and 13 cm, respectively. What is the weight (in kg) of the shell ?
45.144
42.144
46.67
46.2
45.144
The average of first 138 even numbers is
138.5
139.5
140
139
138.5
A pipe A can fill a cistern in 12 hours, while pipe B can fill it in 8 hours. In how much time will the cistern be filled, if both pipes A and B are opened together?
4 hours 48 minutes
3 hours 54 minutes
4 hours 12 minutes
3 hours 26 minutes
4 hours 48 minutes
Find the volume of a given cone with height of 14 cm and diameter of the circular base of 6 cm.
)
130 cm3
396 cm3
232 cm3
132 cm3
130 cm3
2 men can complete a piece of work in 15 days while 5 women can do it in 14 days. In how many days can 7 women and 3 men complete it?
5 days
8 days
6 days
3 days
5 days
Two types of rice costing ₹50 per kg and ₹70 per kg are mixed together to make a blend that costs ₹60 per kg. In what ratio should the two types of rice be mixed?
3 : 2
2 : 3
4 : 3
1 : 1
3 : 2
The price of milk was increased by 15% last year and this year, there is again an increment of 12% in the price. Two years ago, the price was ₹60, now the price of the milk is ₹________.
77.82
78.72
77.28
78.27
77.82
Arjun can do a piece of work in 4 hours. Kartik can do it in 48 hours. With the assistance of Ishan, they completed the work in 3 hours. In how many hours can Ishan alone do it?
16
15
17
18
16
In what ratio should sugar costing ₹84 per kg be mixed with sugar costing ₹51 per kg so that by selling the mixture at ₹90.2 per kg, there is a profit of 10%?
31 : 2
32 : 3
33 : 3
35 : 2
31 : 2
After 56 litres of petrol was poured into an empty storage tank, it was still 10% empty. How much petrol (in litres, rounded off to two decimal place) must be poured into the storage tank in order to fill it?
62.22
57
63.22
61.22
62.22
Train A leaves station M at 7:30 AM and reaches station N at 2:30 PM on the same day.Train B leaves station N at 9:30 AM and reaches station M at 2:30 PM on the same day. Find the time when Trains A and B meet.
11:35 AM
1:43 PM
7:08 AM
11:30 PM
11:35 AM
A 242 m long train crosses a man walking at a speed of 9.5 km/h in the opposite direction in 24 seconds. What is the speed (in km/h) of the train ?
22.4
28.3
26.8
23.8
22.4
A merchant fixes the sale price of his goods at 90% above the cost price. He sells his goods at 18% discount. His percentage of profit is:
59.6%
53.7%
58.5%
55.8%
59.6%
A bus travelling at 56 km/h completes a journey in 16 hours. At what speed will it have to cover the same distance in 8 hours?
112 km/h
118 km/h
103 km/h
106 km/h
112 km/h
Evaluate: √(17 + √(56 + √(60 + √(9 + √49))))
8
2
4
5
8
The sum of five numbers is 655. The average of the first two numbers is 77 and the third number is 129. Find the average of the remaining two numbers?
206
207
187
186
206
The prices of three items are ₹120, ₹150 and ₹180. On these items, respectively, 20%, 10% and 5% profits are earned. The overall profit on the items is ___%.
The cost price of 30 articles is the same as the marked price of x articles. If the profit is 20%, then find the value of x.
25
35
20
30
25
If 40% of k is 10 less than 1200% of 10, then k is:
275
315
255
235
275
The area of a trapezium is 330 cm2, if the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
20 cm
25 cm
15 cm
10 cm
20 cm
Three partners invested in a business in the ratio 6 : 7 : 9. They invested their capitals for 7 months, 3 months and 9 months, respectively. What was the ratio of their profits?
17:7:27
14 : 7 : 27
13:7:27
15:7:27
17:7:27
A sum of ₹8,000 is invested at an annual interest rate of 12% compounded half-yearly for 2 years. Calculate the compound interest earned at the end of 2 years. (Rounded off to the nearest integer)
₹2,200
₹2,100
₹2,150
₹2,280
₹2,200
Find the value of
12.5
11
14
9.5
12.5
The simplified value of the expression
((0.752 − 0.252) ÷ 2) × ((2.52 − 1.52) ÷ 4) × (1 ÷ 0.25) is ?
-0.5
1
0.5
-1
-0.5
What is the greatest common divisor of 90, 1020 and 2340?
5
45
30
10
5
Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
ADB 1, EHF 4, ILJ 16, MPN 64, ?
QTR 32
QRT 128
QTR 256
QTR 128
QTR 32
Identify the figure given in the options which when put in place of ‘?’ will logically complete the series.






In a certain code language,
A + B means ‘A is the wife of B’
A – B means ‘A is the brother of B’
A × B means ‘A is the mother of B’
A ÷ B means ‘A is the father of B’
Based on the above, how is P related to T if ‘P + Q ÷ R – S × T’?
Grandmother
Mother-in-law
Mother
Granddaughter
Grandmother
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.)
(6, 11, 19)
(7, 12, 21)
(12, 17, 31)
(8, 13, 29)
(17, 23, 43)
(10, 5, 7)
(12, 17, 31)
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All breads are donuts.
Some donuts are muffins.
No muffin is a fruit.
Conclusions:
(I): No bread is a fruit.
(II): Some muffins are breads.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
All 48 people are standing in a row facing North. Sridesh is 31st from the right end while Niraj is 26th from the left end. How many people are there between Sridesh and Niraj?
6
5
8
7
6
Mr. Tigiri starts from Point A and drives 16 km towards west. He then takes a left turn, drives 17 km, turns right and drives 18 km. He then takes a right turn and drives 28 km. He takes a final right turn, drives 34 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 specified.)
9 km to the east
11 km to the south
9 km to the west
11 km to the north
9 km to the east
This question is based on the five, three-digit numbers given below.
(Left) 458 652 483 617 456 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number?
12
7
9
11
12
Y, A, K, S, E, N, and T are sitting around a circular table facing the centre. A sits second to the left of K. S sits second to the right of K. Only one person sits between S and E. T sits second to the right of Y. Only one person sits between E and N. Who sits to the immediate left of E?
K
S
A
T
K
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
PRU NPS LNQ JLO ?
HJM
HJN
HIM
HIN
HJM
In a certain code language, ‘how was exam’ is coded as ‘xp or hg’ and ‘exam is tough’ is coded as ‘fs xp wl’. How is ‘exam’ coded in the given language?
hg
or
xp
fs
hg
If 1 is added to each even digit and 3 is subtracted from each odd digit in the number 2935874, how many digits will appear more than once in the new number thus formed?
Two
Three
One
None
Two
Refer to the following series and answer the question (all numbers are single digit numbers only).
(Left) 3 5 9 7 8 6 6 8 7 2 6 1 4 5 6 2 9 1 1 9 1 (Right)
How many such even digits are there each of which is immediately preceded by an odd digit and also immediately followed by an even digit?
One
Four
Three
Two
One
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 one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
HEJN
KHMQ
AXCH
PMRV
HEJN
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 one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
IPW
GNU
NUB
VCI
IPW
What should come in place of the question mark (?) in the given series?
57 70.4 88.8 112.2 140.6 ?
182.2
174
188
168.8
182.2
Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
FOR 16, JIV 29, NCZ 42, RWD 55, ?
VQH 68
NQZ 70
NCZ 68
WQI 70
VQH 68
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some apples are rocks.
Some peanuts are crows.
All rocks are crows.
Conclusions:
(I): Some rocks are peanuts.
(II): Some crows are apples.
Only conclusion (II) follows.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Only conclusion (II) follows.
What should come in place of the question mark (?) in the given series?
32 36 47 51 62 66 ?
78
70
77
76
78
If you subtract the number formed by reversing the digits of 74 from the number 74 itself, what is the result?
12
27
36
0
12
Select the pair that follows the same pattern as the one followed by the two set of pairs given below. Both pairs follow the same pattern.
BDF : GKK
GIK : LPP
CMJ : HTO
ADE : EHI
JLO : NPQ
MQT : QVX
CMJ : HTO
Seven students, Q, R, S, T, W, X and Y, are sitting in a straight line facing north. Only R sits to the left of Q. Only four people sit between R and X. Only W sits between S and T, and S is not an immediate neighbour of X. How many people sit between Y and S?
Four
Three
One
Two
Four
In a certain code language, ‘tea and coffee’ is coded as ‘nm hg bv’ and ‘tea is better’ is coded as ‘mn vb hg’. How is ‘tea’ coded in the given language?
hg
vb
nm
bv
hg
Six people T, U, V, W, X, and Y are sitting in a straight row facing north. Only one person sits between W and V when counted from the left of V. Y sits third to the right of V. U sits to the immediate left of X. How many people sit between T and X?
One
Three
Two
Four
One
Mr. Z starts from Point A and drives 3 km towards the north. He then takes a right turn, drives 2 km, turns right and drives 4 km. He then takes a right turn and drives 5 km. He takes a final right turn, drives 1 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.)
2 km towards the north
2 km towards the south
3 km towards the east
1 km towards the west
2 km towards the north
Eden ranked 21s from the bottom and 14th from the top in his class. How many students are there in his class?
31
34
33
32
31
FOR is related to CLO in a certain way. In the same way, POT is related to MLQ. To which of the following is RUN related, following the same logic?
UXQ
ORK
QXU
KRO
UXQ
What should come in place of the question mark (?) in the given series?
86 94 110 142 ? 334
205
204
206
208
205
Identify the option that when put in place of the question mark (?) will logically complete the series.






What is the difference between the number 49 and the number obtained by adding 4 to each digit of 49?
764
760
789
657
764
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 7 $ % 5 & 8 2 @ 4 & 3 Ω 1 * 9 £ # 6 (Right)
If all the symbols are dropped from the series, which of the following will be fifth from the right?
3
4
9
2
3
In a certain code language,
A : B means ‘A is the son of B’
A = B means ‘ A is the wife of B’
A * B means ‘A is the brother of B’
A ? B means ‘A is the father of B’
Based on the above, how is F related to N if 'F * A : L ? E = N’?
Wife's father
Wife's brother
Wife's son
Wife's sister
Wife's father
EGKN is related to PQVX in a certain way based on the English alphabetical order. In the same way, WUCB is related to HENL. To which of the given options is DYJF related, following the same logic?
PIOU
POIU
OUPI
OIUP
PIOU
In a certain code language, ‘MOTION’ is coded as ‘121345’ and ‘SLOW’ is coded as ‘1689’. What is the code for ‘O’ in the given code language?
1
3
4
6
1
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
All priests are teachers.
Some priests are singers.
Conclusions:
(I) Some singers are teachers.
(II) Some singers are priests.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Only conclusion (II) follows.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Which Indian state is the leader in solar power generation with its largest installed capacity?
Tamil Nadu
Karnataka
Gujarat
Rajasthan
Tamil Nadu
Which of the following groups of states is part of the Great Indian Desert?
Punjab, Haryana, Rajasthan and Madhya Pradesh
Rajasthan, Gujarat, Madhya Pradesh and Uttar Pradesh
Rajasthan, Gujarat, Punjab and Haryana
Gujarat, Punjab, Haryana and Maharashtra
Punjab, Haryana, Rajasthan and Madhya Pradesh
What ideology did the extremists strongly oppose within the Indian National Congress?
Swadeshi
Gradualism
Nationalism
Self-governance
Swadeshi
What was the year-on-year (Y-o-Y) growth in HDFC Bank’s total deposits as of Q2 FY25?
20%
15%
10%
5%
20%
In October 2024, the Indian Army’s Sudarshan Chakra Corps conducted the ‘Swavlamban Shakti’ Exercise in which state?
Uttar Pradesh
Madhya Pradesh
Haryana
Bihar
Uttar Pradesh
Which of the following is the main purpose of focusing on human development?
To increase industrialisation
To ensure that individuals lead healthy, educated and productive lives
To promote economic growth only
To improve trade relations
To increase industrialisation
Which of the following is India's longest national waterway?
National Waterway 3 (NW 3)
National Waterway 2 (NW 2)
National Waterway 1 (NW 1)
National Waterway 4 (NW 4)
National Waterway 3 (NW 3)
Which of the following does NOT come in the Ghan Vadya category?
Gedi
Dandia
Harmonium
Gurki
Gedi
The Indian Councils Act, 1861, initiated the process of decentralisation by restoring legislative powers to which provinces?
Bombay and Madras
United Provinces and Assam
Bihar and Orissa
Punjab and Bengal
Bombay and Madras
The Water (Prevention and Control of Pollution) Amendment Bill, 2024, will initially apply to how many states?
5
2
1
4
5
What is rural development?
Industrialisation of rural areas
Development of urban infrastructure
Improving the quality of life and economic well-being of people living in rural areas
Shifting rural people to urban areas
Industrialisation of rural areas
Who is the author of the biography ‘Manoj Bajpayee: The Definitive Biography’, published in March 2024?
Mukesh Manjunath
Anustup Basu
Tanuja Chaturvedi
Piyush Pandey
Mukesh Manjunath
Which of the following is the name of the new high-quality malaria vaccine, developed by the Serum Institute of India and the University of Oxford, rolled out in Africa from July 2024?
R24
R21
R22
R20
R24
In which country was the 44th session of the Codex Committee on Nutrition and Foods for Special Dietary Uses (CCNFSDU) held from 2 October to 6 October 2024?
Peru
New Zealand
Germany
Canada
Peru
Which commander in chief of British army captured Lucknow during the revolt of 1857?
William Taylor and Eye
Sir Colin Campbell
Colonel Oncell
General Hugh Rose
William Taylor and Eye
Which law or principle explains the connection between fluid velocity and pressure in a moving fluid?
Pascal's Law
Archimedes' Principle
Bernoulli's Principle
Boyle's Law
Pascal's Law
On which date did the Constituent Assembly give the third reading of the Constitution?
17 October 1949
29 August 1947
14 November 1949
26 November 1949
17 October 1949
The element ___________ is commonly used in aircraft construction.
Hafnium
Titanium
Zirconium
Osmium
Hafnium
Under which Article of the Indian Constitution can the President of India seek the advisory opinion of the Supreme Court?
Article 143
Article 141
Article 129
Article 148
Article 143
Right to Education is contained in which of the following Articles of the Indian Constitution?
Article 51 A
Article 17
Article 21 A
Article 19
Article 51 A
In the context of inheritance of sex chromosomes in humans, which of the following statements is correct?
All children inherit a Y chromosome from their father, and the sex is determined by the chromosome inherited from their mother.
All children inherit an X chromosome from their mother, and the sex is determined by the chromosome inherited from their father.
All children inherit a Y chromosome from their mother, and the sex is determined by the chromosome inherited from their father.
All children inherit an X chromosome from their father, and the sex is determined by the chromosome inherited from their mother.
All children inherit a Y chromosome from their father, and the sex is determined by the chromosome inherited from their mother.
When was the Battle of Kanauj fought?
1556
1526
1540
1567
1556
The National Rural Employment Programme (NREP) was launched during which of the following five year plans?
5th Five Year Plan
6th Five Year Plan
7th Five Year Plan
8th Five Year Plan
5th Five Year Plan
Kanuma festival is celebrated on which day of Sankranti by Hindus in the south Indian states, especially in Andhra Pradesh and Telangana?
Seventh
Fifth
Second
Third
Seventh
In September 2024, who was elected as the Chief Minister of Delhi?
Atishi Marlena
Manish Sisodia
Virender Jain
Arvind Kejriwal
Atishi Marlena
Which of the following banks appointed Amitava Chatterjee as its Managing Director and Chief Executive Officer, effective 30 December 2024?
Jammu & Kashmir Bank
ICICI Bank
State Bank of India
Punjab National Bank
Jammu & Kashmir Bank
SBI's loan loss provisions increased by how much percentage in Q3 FY24 year-over year?
36.05%
10.75%
13.02%
35.5%
36.05%
When was the Appellate Tribunal for Electricity established in India?
2009
2003
2005
2002
2009
The British adopted which of the following policies with respect to landlords and zamindars after the Revolt of 1857?
The policy of land nationalisation
The policy of confiscation of property
Policies that protected their rights and provided security over their lands
The policy of land redistribution
The policy of land nationalisation
How many medals and Medallions of Excellence were won by India at WorldSkills Lyon 2024 in France?
16
4
12
8
16
When was the National Green Tribunal established in India?
2014
2005
2003
2010
2014
Who was the last ruler of the Sayyid dynasty?
Khizr Khan
Mubarak Shah
Alauddin Alam Shah
Muhammad Shah
Khizr Khan
Which of the following waterways of India is navigable by mechanical boats up to Patna and by ordinary boats up to Haridwar?
National Waterway 4 (NW 4)
National Waterway 3 (NW 3)
National Waterway 2 (NW 2)
National Waterway 1 (NW 1)
National Waterway 4 (NW 4)
Which of the following vector quantities has the same dimensions as of the scalar quantity 'work'?
Angular momentum
Torque
Gravitational constant
Force
Angular momentum
What is the projected fiscal deficit for the financial year 2024-25, as per the Union Budget?
4.5%
5.1%
4.9%
3.9%
4.5%
The Terai region is best known for:
rich forest cover and marshy land
salt pans
rocky terrain
dry soil and sparse vegetation
rich forest cover and marshy land
What role does the Economic Survey 2024 attribute to the tripartite compact in achieving India’s development goals?
Increases government power
Focuses on self-reliance
Ensures cooperation between central, state governments and private sector
Reduces foreign influence
Increases government power
The Simhastha Kumbh Mela festival at Ujjain is celebrated on the banks of river _____.
Kuno
Betwa
Shipra
Narmada
Kuno
Padma Awards 2024 were conferred to how many women awardees by the President of India?
28
30
20
36
28
SONAR technology utilises sound energy for navigation, particularly in underwater environments. What does the acronym 'SONAR' represent?
Sound Navigation And Ranging
Sound Organized Navigation And Ranging
Sound Observational Navigation And Ranging
Sound Oscillation Navigation And Ranging
Sound Navigation And Ranging
Which desert is known as the Great Indian Desert?
Thar Desert
Sahara Desert
Gobi Desert
Arabian Desert
Thar Desert
The Union cabinet in September 2024 approved Chandrayaan-4 and ___________.
Neptune Orbiter Mission
Venus Orbiter Mission
Mars Orbiter Mission
Jupiter Orbiter Mission
Neptune Orbiter Mission
What was the primary strategy adopted by the Indian government in the 1950s for economic development?
Encouraging private sector growth in basic and heavy industries
Developing the agricultural sector as the foundation of the economy
Focusing on agricultural expansion and crop yield improvement
Rapid industrialisation through centrally prepared five-year plans
Encouraging private sector growth in basic and heavy industries
The famous ‘Sam Sand Dunes’ region is located in which state of India?
Haryana
Rajasthan
Punjab
Gujarat
Haryana
Who among the following gave sharp criticism of imperialism, termed as 'drain of wealth', which was a milestone in the mainstream Indian independence movement?
Dadabhai Naoroji
Chakravarti Rajagopalachari
Zakir Husain
Bhimrao Ramji Ambedkar
Dadabhai Naoroji
Which of the following promotes cross-border movement of resources?
Foreign direct investment
Tariffs
Import restrictions
Quotas
Foreign direct investment
The Indian National Congress session of 1905 took place in _____.
Lucknow
Madras
Banaras
Calcutta
Lucknow
Which of the following is a traditional hornpipe instrument of Assam made from buffalo horn?
Khol
Chang
Pepa
Pongi
Khol
Which of the following Articles states that the Chief Minister shall communicate to the Governor all decisions of the Council of Ministers?
Article 168
Article 167
Article 164
Article 163
Article 168
What has been a major environmental challenge linked to globalisation in India?
Reduction in industrialisation
Pollution and overuse of natural resources
Decrease in foreign investments due to regulations
Increase in deforestation laws
Reduction in industrialisation
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