Express the following as a vulgar fraction.
- ((a))
- ((b))
- ((c))
- ((d))
120 questions · 90 minutes · with answers · free
Express the following as a vulgar fraction.
In an election between two candidates, 80% of the voters cast their vote out of which 53 votes were declared invalid. The winner got 48% of all the voters in the list and he won by 1013 votes.The number of voters on the list was :-
5000
6000
5600
6500
5000
A number when increased by 50%, gives 3600. The number is:
1200
7200
4800
2400
1200
Express the following into a vulgar fraction.
Find the volume of a hemisphere of radius 7.7 cm. (Use π = 22/7) (Correct up to one decimal place)
756.5 cm3
856.5 cm3
656.5 cm3
956.5 cm3
756.5 cm3
Express the following as a vulgar fraction.
A sum, when invested at 10% simple interest per annum, amounts to ₹9360 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 year?
3120
6240
1560
780
3120
A 150 m long train crosses a man walking at a speed of 4 km/h in the opposite direction in 25 seconds. What is the speed (in km/h) of the train?
17.6
17.2
15.6
22.8
17.6
Which of the following fractions is the largest?
A 976 m long train crosses a man walking at a speed of 3.7 km/h in the opposite direction in 16 seconds. What is the speed (in km/h) of the train?
214.5
215.9
211.8
215.6
214.5
If x varies inversely as y3 - 1 and is equal to 4 when y = 3, find x when y = 9.
Evaluate: 33 ÷ 11 × 3 - 3 × 3
3
-1
2
0
3
Find the value of \(\left[(27\times 11)\times \left{8\div 8\times \frac{(19-15)}{4}\right}\right]\)
289
309
297
282
289
A number when divided by a divisor leaves a remainder of 12. When thrice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
55
24
54
25
55
A vendor claims to sell wheat at a loss of 35%. But he cheats by using weights that weigh 60% less than what is mentioned on them. What is his profit percentage (rounded off to 2 decimal places)?
62.50
57.39
64.56
58.64
62.50
Given that 1370.1 = x, 1370.68 = y and xz = y4 , then the value of z is close to:
25.05
27.13
29.14
27.2
25.05
What is a cone's total surface area if its height is 20 cm and radius is 15 cm? (Use π = )
cm2
cm2
cm2
cm2
cm2
Study the following graph carefully and answer the question given below. Marks scored by five students in subjects (Maths, English and Physics).

What is the difference between the total marks obtained by C and the total marks obtained by E?
80
20
60
40
80
The average of 7 numbers is 51. If each number is increased by 7, what will the new average be?
7
65
58
51
7
Utsavi invested a sum of ₹7500 at 18% per annum compound interest, componded annually. If she received an amount of ₹10443 after n years, the value of n is:
1.6
3
2.79999995231628
2
1.6
A 135 m long train crosses a man walking at a speed of 10.6 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?
29.9
34.4
32.1
31.9
29.9
A man sold an article for ₹504 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹3600, then what is the value of d?
43
39
38
41
43
Three partners invested in a business in the ratio 5:1:9. They invested their capitals for 2 months, 9 months and 11 months, respectively. What was the ratio of their profits?
10:9:99
8:9:99
9:9:99
13:9:99
10:9:99
Bhavna and Bhumi invest in a business in the ratio 2 : 10. If total profit is Rs. 1140, then what is difference between the profit (in Rs.) of Bhavna and Bhumi?
860
760
910
810
860
The smallest 1-digit number to be added to the 6-digit number 649389 so that it is completely divisible by 11 is:
6
7
8
5
6
Lalit's average earning per month in the first three months of a year was ₹12544. In April, his earning was 50% more than the average earning in the first three months. If his average earning per month for the whole year is ₹41852, then what will be Lalit's average earning (in ₹) per month from May to December?
55719
55718
55722
55725
55719
If the interest earned during the 2nd year on a certain sum is ₹8096, and the rate of interest is 10% per annum compounded annually, then the sum is:
₹74495
₹73600
₹74550
₹74570
₹74495
LCM and HCF of two numbers are 196 and 7 respectively. If one of the numbers is 49, then find the other number.
31
30
28
29
31
A dishonest vendor claims that he is selling goods at their cost price. But he is weighing 812 grams for 1000 grams. What is his profit percentage (rounded off to 2 decimal places)?
20.91
23.15
24.85
26.29
20.91
Raghu completes his journey in 15 hours. He covers half the distance at 57 km/h and the rest at 78 km/h. What is the length of the journey (in Km)?
994
988
980
989
994
The volume (in cm3 ) of a wire of diameter 6 cm and length 7 m is: take π =
20400
19500
19800
20700
20400
During sale, Raghav bought a notebook marked for ₹15 at 80% discount and a pen marked for ₹100 at 66% discount. How much (in ₹) did he save due to sale?
79
75
78
80
79
The average age of Tinku, Pinku and Rinu was 36 years and that of Pinku and Rinu was 25 years. Find the age of Tinku.
56 years
54 years
52 years
58 years
56 years
To obtain a mixture valued at ₹205.50 per kg, in what ratio should a grocer combine two types of pulses that cost ₹203 per kg and ₹215 per kg, respectively?
19 : 5
17 : 5
5 : 17
5 : 19
19 : 5
The average of 7 numbers is 53. If each number is increased by 4, what will the new average be?
7
53
61
57
7
In a certain code language, ‘ROAM’ is coded as ‘6417’ and ‘WORM’ is coded as ‘6274’. What is the code for ‘W’ in the given code language?
7
2
6
4
7
85 is related to 15 following a certain logic. Following the same logic, 70 is related to 12. To which of the following is 105 related, following the same logic?
(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.)
25
19
21
23
25
Three of the following four letter-clusters are alike in a certain way and thus form a group. Which is the letter-cluster that does NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their positions in the letter-cluster.)
USQN
FDBX
AYWS
RPNJ
USQN
Bishal starts from Point A and drives 18 km towards south. He then takes a left turn, drives 17 km, turns left and drives 19 km. He then takes a left turn and drives 18 km. He takes a final left 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 degrees turns only unless specified)
1 km to the east
4 km to the east
3 km to the east
2 km to the east
1 km to the east
Four of the following five figures are alike in a certain way and thus form a group. Which figure DOES NOT belong to that group?

A
C
E
B
A
In a certain code language, ‘NOSE’ is coded as ‘9876’ and ‘REAP’ is coded as ‘4391’. What is the code for ‘E’ in that language?
4
6
3
9
4
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
JHO LJQ NLS PNU ?
ROX
RPW
RPX
ROW
ROX
HKOI is related to MPTN in a certain way based on the English alphabetical order. In the same way, FIMG is related to KNRL. To which of the following is DGKE related, following the same logic?
ILPJ
LIPJ
LIJP
ILJP
ILPJ
Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only C sits to the left of A. Only four people sit between C and F. Only E sits between B and G, and B is not an immediate neighbour of F. How many people sit between A and F?
1
3
2
4
1
I, J, K, L, P, Q and R are sitting in a row facing north., Only three people sit to the left of K. Only R sits to the right of Q. Only three people sit between Q and L. P sits at some place to the left of I but at some place to the right of J. How many people sit between J and I?
Two
Four
One
Three
Two
Seven boxes, E, F, G, H, I, J and W, are kept one over the other but not necessarily in the same order. Only one box is kept above J. Only three boxes are kept between E and J. I is kept at one of the positions below E. Only W is kept between J and F. H is kept at one of the positions above J. How many boxes are kept between I and H?
Five
Two
Three
One
Five
Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.






This question is based on the following words.
OWN EAR BUS APT
How many letters are there between the second letter of the first word from the right, and the second letter of the first word from the left?
7
6
8
5
7
Refer to the following letter and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) & P @ I T £ O £ D @ R # D K # U # U & $ A L (Right)
How many such symbols are there each of which is immediately preceded by a letter and also immediately followed by a letter?
8
9
5
7
8
Aditya starts from Point A and drives 12 km towards South. He then takes a right turn, drives 9 km, turns right and drives 14 km. He then takes a right turn and drives 12 km. He takes a final right turn, drives 2 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.)
4 km to the west
3 km to the east
3 km to the west
4 km to the east
4 km to the west
R is the father of J. Q is the daughter of P. R is the son of S. J is the daughter of K. P is the wife of S. How is P related to K?
Brother’s wife
Husband’s mother
Wife’s father
Father’s sister
Brother’s wife
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 2473681, what will be the sum of the digits that are second from the left and second from the right in the new number thus formed?
9
8
6
7
9
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.)
RK : NI
TO : RM
NI : LG
KF : ID
RK : NI
PELB is related to LHHE in a certain way based on the English alphabetical order. In the same way, HKDH is related to DNZK. To which of the given options is ZQVN related to, following the same logic?
WSRP
USQR
WUST
VTRQ
WSRP
In a certain code language, ‘FILE’ is coded as ‘3571’ and ‘LOAD’ is coded as ‘4216’. What is the code for ‘L’ in the given code language?
4
6
1
7
4
If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 8375642, what will be the sum of the greatest and smallest digits in the new number thus formed?
11
12
8
9
11
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
FMJ HOL JQN LSP ?
NUS
NTR
NUR
NTS
NUS
Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.






A is the sister of B. B is the brother of C. C is married to D. E is the son of C. B has only one sister. How is D related to E?
Mother
Father
Son
Brother
Mother
Each of the digits in the number 3825476 is arranged in ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?
One
Three
Two
None
One
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given 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.)
36 - 34 - 31 - 27; 45 - 43 - 40 - 36
58 - 56 - 50 - 46
49 - 47 - 44 - 40
31 - 29 - 27 - 25
64 - 62 - 49 - 45
58 - 56 - 50 - 46
Three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the letter-cluster pair that does NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their positions in the letter-cluster.)
NF - KO
LD - IM
PH - MQ
JB - GL
NF - KO
Karan ranked 34th from the top and 38th from the bottom in his class. How many students are there in his class?
73
70
71
72
73
Shekhar ranked 24th from the top and 21st from the bottom in his class. How many students are there in his class?
42
43
41
44
42
Each letter in the word DEBRIS is changed to the letter immediately succeeding it in the English alphabetical order and then all the letters thus formed are arranged in English alphabetical order. Which of the following letters will be fifth from the right in the new group of letters thus formed?
C
E
F
J
C
Refer to the following letter and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) X R £ W % * Y # @ R U # G & # € £ * Q € U S (Right)
How many such symbols are there which are immediately preceded by a letter and also immediately followed by a symbol?
Six
Three
Four
Five
Six
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 hoodies are jackets.
All jackets are coats.
No jacket is a suit.
Conclusions:
(I) No coat is a suit.
(II) No hoodie is a suit.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Y, A, T, C and H each has different marks in Urdu. Only two people have scored more than T. H has scored immediately less marks than C. A has scored the highest marks. How many people have scored less than Y?
Two
One
Four
Three
Two
What should come in place of the question mark (?) in the given series?
47 48 52 61 ? 102
88
66
77
99
88
When was the Disinvestment Commission established in India?
1994
1991
1996
1998
1994
What is the full form of the NAMASTE Scheme, to be implemented for a period of 3 years from FY 2023-24 to FY 2025-26?
National Aid for Mechanised Sanitation Technology Enhancement
National Assistance for Manual Sanitation and Treatment Endeavors
National Action for Mechanised Sanitation Ecosystem
National Approach for Manual Sanitation and Treatment Enhancement
National Aid for Mechanised Sanitation Technology Enhancement
Who among the following started a Marathi fortnightly-Newspaper 'Mooknayak' in 1920?
Swami Acchutanand
MC Rajah
Dr BR Ambedkar
Mahatma Gandhi
Swami Acchutanand
Which of the following statements is true about India’s Chandrayaan –3 mission?
It was launched using GSLV
RAMBHA and ChaSTE were amongst its rover payloads
Propulsion Module placed the lander module in 100 km lunar orbit
LISA and LRA were amongst its lander payloads
It was launched using GSLV
The Mass Drug Administration Campaign to eliminate Lymphatic Filariasis is being carried out by the Government in around 63 district in 6 states. Which of the following is NOT one of those states?
Jharkhand
Karnataka
Telangana
Chhattisgarh
Jharkhand
The annual precipitation in Meghalaya exceeds 400 cm, while in Ladakh and western Rajasthan, it is less than 10 cm. Based on the statement, which of the following is the pattern of annual precipitation in India?
More in the northern parts
Highly variable, with significant differences between regions
Uniform across the country
More in the western parts
More in the northern parts
Which of the following is a common plant species found in tropical evergreen forests?
Mahogany
Acacia
Teak
Cactus
Mahogany
Who among the following kings became the follower of the Jainism towards the later stages of his life?
Kunal
Bindusara
Chandragupta Maurya
Ashoka
Kunal
What is the primary role of the National Bank for Agriculture and Rural Development (NABARD) in the Indian economy?
Financing rural infrastructure and supporting agricultural development
Providing microloans to urban enterprises
Direct lending to industrial projects
Managing India's foreign exchange
Financing rural infrastructure and supporting agricultural development
Arrange the following acids in increasing order of acidic strength.

III<II<I
III<I<II
II<III<I
I<II<III
III<II<I
Dr. YS Rawat was appointed as the Director General of which of the following organisations in December 2023?
Geological Survey of India
Zoological Survey of India
Botanical Survey of India
Archaeological Survey of India
Geological Survey of India
Which of the following statements is NOT true regarding basic food groups?
Include at least one or a minimum number of servings from each food group in each meal.
Cereals should supply more than 75% of the total Kcal/Calories.
Include uncooked vegetables and fruits in the meals.
Include at least one serving of milk to ensure a supply of calcium.
Include at least one or a minimum number of servings from each food group in each meal.
Which amendment of the Indian Constitution asserted a list of 'Fundamental Duties'?
40
43
41
42
40
Which plan sets targets to cover all major aspects of the economy?
Partial plan
Imperative plan
Comprehensive plan
Global plan
Partial plan
In which of the following years was the first session of the All India Kisan Sabha held?
1936
1928
1947
1925
1936
Who wrote 'Masterpieces of Vijayanagara Art'?
RK Narayan
Pranab Chandra Roy
Dr. V Ganapati Sthapati
Dr. Sindigi Rajasekhara
RK Narayan
Which of the following statements is correct regarding the Money Bill in the Parliament?
Money Bill can be introduced in the Lok Sabha only.
Money Bill can be introduced in either of the Houses of the Parliament
Money Bill cannot be introduced in the Lok Sabha.
Money Bill can be introduced in the Rajya Sabha only.
Money Bill can be introduced in the Lok Sabha only.
Who among the following was the Architect of the 'Basilica of Bom Jesus' in India?
Erbert Baker and Smith
Julião Simão and Domingos Fernandes
George Wittet and Goerge Bush
William Emerson
Erbert Baker and Smith
Netaji Subhas Chandra Bose International Airport is situated in which of the following cities?
New Delhi
Chennai
Mumbai
Kolkata
New Delhi
According to Census 2011, which union territory has the lowest population?
Dadra and Nagar Haveli
Lakshadweep
Chandigarh
Daman and Diu
Dadra and Nagar Haveli
Which of the following Parts of the Indian Constitution deals with the provision regarding composition, appointment and removal of members along with the independence, power and function of the UPSC?
XIII
XIV
XI
XII
XIII
Arrange the following rulers of the Sharqi dynasty in the chronological order.
Hussain Shah < Ibrahim Shah < Mubarak Shah < Mahmud Shah
Mahmud Shah < Hussain Shah < Mubarak Shah < Ibrahim Shah
Hussain Shah < Mubarak Shah < Ibrahim Shah < Mahmud Shah
Mubarak Shah < Ibrahim Shah < Mahmud Shah < Hussain Shah
Hussain Shah < Ibrahim Shah < Mubarak Shah < Mahmud Shah
In September 2024, V Satish Kumar took additional charge as Chairman of which of the following oil companies?
Oil and Natural Gas Corporation (ONGC)
Indian Oil Corporation Limited (IOCL)
Bharat Petroleum Corporation Limited (BPCL)
Gas Authority of India Limited (GAIL)
Oil and Natural Gas Corporation (ONGC)
Which of the following natural heterogeneous polysaccharides present in the middle lamella strengthens the adjacent plant cells and provides cohesion to plant tissues?
Chitin
Algin
Pectin
Mucin
Chitin
In which of the following years did Tata Tea acquire the UK-based Tetly?
2001
1999
2000
1998
2001
Who among the following was the first person to discuss the concept of the poverty line in pre-independent India?
Dadabhai Naoroji
Surendranath Banerjee
Balgangadhar Tilak
Annie Bessant
Dadabhai Naoroji
Which Article discusses people born in the Indian province, people with either of their parents born in India and people who typically became Indian residents for five or more years instantaneously before the implementation of the Constitution?
Article 8
Article 4
Article 10
Article 5
Article 8
Who among the following exceptional musicians, unable to complete formal schooling, emerged as a musical genius and innovator, credited with inventing the Trimukhi, Panchamukhi, Saptamukhi, and Navamukhi ragas?
M Balamuralikrishna
MS Subbulakshmi
TM Krishna
L Subramaniam
M Balamuralikrishna
Which of the following Articles of the Indian Constitution states that no person who is arrested shall be detained in custody without being informed?
Article 20
Article 21
Article 19
Article 22
Article 20
Consider the motion of a rigid body which is pivoted or fixed in some way. The possible motion for such a system is best described by:
circular motion
combination of rotation and translation
translation
rotation
circular motion
As per World Bank observation, rising rural wages and falling food prices brought about by agricultural intensification in the _____ and _______ helped to alleviate rural poverty in India.
1940s; 1950s
1970s; 1980s
1950s; 1960s
1960s; 1970s
1940s; 1950s
How many medals did the Team of Jammu and Kashmir win in the Khelo India Youth Games 2023?
11
7
5
9
11
According to which of the following Articles of the Indian Constitution, there shall be a Comptroller and Auditor-General of India who shall be appointed by the President by warrant under his hand and seal?
Article 148
Article 153
Article 145
Article 157
Article 148
Which of the following statements is INCORRECT about aneuploids?
One or more chromosomes of a chromosome set either missing or having more copies
Unequal distribution of chromosomes to opposite poles
Usually results from irregular meiotic division
Organisms having more than two sets of chromosomes in each cell
One or more chromosomes of a chromosome set either missing or having more copies
__________ is the total value of goods and services produced in a country in addition to the income from abroad.
Gross Domestic Product
National Product/National Income
Net National Value
Average Product Income
Gross Domestic Product
Which of the following organisations became a member of G20 in 2023 under India’s presidency?
African Union
The Quad group
South Asian Association for Regional Co-operation
Association of South East Asian Nations
African Union
What is the name of the first warship of the Anti-Submarine Warfare Shallow Craft (ASW SWC) project under construction by CSL, Kochi whose first Keel laying ceremony was undertaken on 30 Aug 22?
Mangrol
Malwan
Arnala
Mahe
Mangrol
Which of the following river systems is characterised by fixed course, absence of meanders, and non-perennial flow?
Ganga
Brahmaputra
Peninsular
Himalayan
Ganga
Who among the following are involved in the election of the President of India?
1 and 2 only
1 and 3 only
1, 2 and 3 only
1, 2, 3 and 4
1 and 2 only
Under the reign of which of the following Mughal Emperors did Bahadur Shah attack Chittor?
Aurangzeb
Shah Jahan
Humayun
Babur
Aurangzeb
As per the Census 2011, which of the following north-eastern states has the highest literacy rate?
Tripura
Nagaland
Meghalaya
Assam
Tripura
In August 2024, the Indian Air Force (IAF) gave clearance to which organisations to produce 200 Astra air-to-air missiles?
DRDO and HAL
DRDO and ISRO
BDL and HAL
DRDO and BDL
DRDO and HAL
In the context of rural development, what is a critical challenge associated with traditional rural credit systems in India?
High reliance on informal sources leads to exploitative interest rates and debt traps for farmers
Formal banking institutions entirely replace informal lenders, eliminating local financial practices
They provide too much credit to rural households, leading to inflation
Interest rates are uniformly low, discouraging savings
High reliance on informal sources leads to exploitative interest rates and debt traps for farmers
As on 30th September 2024, how many member countries are in the World Bank?
158
150
189
171
158
CSpace, India's first government-backed Over-The-Top (OTT) platform which addresses challenges in selecting and distributing content, was launched in which of the following states of India in March 2024?
Bihar
West Bengal
Kerala
Maharashtra
Bihar
The resistances of the filament of two bulbs are R1 and R2 . If both of these are connected in parallel, then the ratio of loss of power will be
When was a member of the British Cabinet appointed as a 'Secretary of State for India' and made responsible for all matters related to the governance of India?
1919
1911
1929
1858
1919
Which Indian bowler topped the chart of most wickets in the T20 World Cup 2024, along with Fazalhaq Farooqi of Afghanistan?
Axar Patel
Mohammed Siraj
Jasprit Bumrah
Arshdeep Singh
Axar Patel
Which of the following states is known for the dance form Jhoori which is connected with Jhoomar and involves both men and women singing and dancing?
Punjab
Assam
Himachal Pradesh
Rajasthan
Punjab
The third battle of Panipat was fought between the Maratha Empire and (the) _____.
Durrani Empire
Sur Empire
Timurids
Uzbek
Durrani Empire
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