Two trains of equal length are running on parallel lines in the same direction at speeds of 101 km/h and 65 km/h. The faster train passes the slower train in 30 seconds. The length of each train is:

Isha and Anshu together invested ₹44300 in a business. At the end of the year, out of a total profit of ₹7000, Isha's share was ₹1400. What was the investment of Anshu? 

Three partners invested in a business in the ratio 6:3:2. They invested their capitals for 7 months, 4 months and 3 months, respectively. What was the ratio of their profits?

In a cluster, 3 weavers can make 12 sarees in 4 days. Find the average number of sarees that can be made by each weaver in a day. 

The smallest natural number which is divisible by 15, 60, 6 and 17 is: 

The sides of a triangle are 16 cm, 30 cm, and 34 cm. What is its area? (in cm² )

The average price of three items of furniture is Rs 15975. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is

If 16 × 8 × 700 ÷ \(\sqrt{2500}\) = y + 667, then find the value of y.

A shopkeeper sells an item for ₹583.2 after giving two successive discounts of 25% and 40% on its marked price. Had he not given any discount, he would have earned a profit of 62%. What is the cost price (in ₹) of the item? 

A sum, when invested at 10% simple interest per annum, amounts to ₹9600 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate in 1 year?

A dishonest vendor claims that he is selling goods at their cost price. But he is weighing 918 grams for 1000 grams. What is his profit percentage (rounded off to 2 decimal places)?

A shopkeeper lists the price of a fan at 25% above its cost price and offers a 16% discount on its list price. If he earns a profit of ₹141, then what is the list price (in ₹) of the fan?

\(\rm\frac{(a^8\times b^6\times c^9)}{(a^4\times b^9\times c^9)}\) in simplified form is:

Raghav's average earning per month in the first three months of a year was ₹22560. 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 ₹90078, then what will be Raghav's average earning (in ₹) per month from May to December?

The value of 

\(\frac{4}{6}+\frac{4}{6}+\frac{2}{12}+\frac{4}{6}-4=\)

Vishal covers 104 km in a boat in 30 hours against the stream and he takes 12 hours with the stream then find the speed of the stream?

Which of the following fractions is the largest?

\(\frac{7}{8}, \frac{3}{34}, \frac{21}{81}, \frac{75}{76}\)

Three partners invested in a business in the ratio 2:7:8. They invested their capitals for 4 months, 1 months and 10 months, respectively. What was the ratio of their profits?

A can is completely filled with milk. 6 litre of milk is taken out of the can and is filled with water. This operation is performed four more times. Now, the ratio of milk and water in the can is 32 : 211. What is the volume of the can? 

If 25% of a number is added to 72, then the result is the same number. 70% of the same number is:

The smallest 1-digit number to be added to the 6-digit number 638970 so that it is completely divisible by 11 is:

A train runs at a speed of 96 kmph to cover a distance of 288 km and then at a speed of 126 kmph to cover a distance of 252 km. Find the average speed of the train for the entire distance. 

LCM and HCF of two numbers are 180 and 12 respectively. If one of the numbers is 36, then find the other number.

Suman invested a sum of ₹8000 at 5% per annum compound interest, componded annually. If she received an amount of ₹9261 after n years, the value of n is:

The LCM of 27, 48, 276 and 368 is:

The ratio of the heights of a right circular cone and a right circular cylinder is 3 : 8 and the ratio of the radii of their bases is 8 : 5. If the volume of the cylinder is 400 cm³ , then the volume (in cm³ ) of the cone is:

The table below shows the profit earned by five friends in four different years. Study the table carefully to answer the question that follows.

Find the amount which when lent on compound interest at 15% interest being compounded annually for 2 years, gives total interest equal to profit earned by Chand in 2023.

Tarika has a decorative wall-hanging in the shape of a regular hexagon having side 10 cm. What is the area (in cm²) of the decorative wall (Take √3 = 1.7)

During sale, Raghav bought a notebook marked for ₹100 at 53% discount and a pen marked for ₹40 at 85% discount. How much (in ₹) did he save due to sale?

The average price of three items of furniture is Rs 15885. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is

A man walks to a viewpoint and returns to the starting point by his car maintaining constant speed and thus takes a total time of 6 hours 45 minutes. He would have gained 4 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?

LCM and HCF of two numbers are 108 and 9 respectively. If one of the numbers is 36, then find the other number.

A number when increased by 50%, gives 3930. The number is:

Which of the following fractions is the largest?

\(\frac{4}{9}, \frac{4}{26}, \frac{56}{71}, \frac{28}{81}\)

At what rate per cent per annum will a certain sum of money multiply itself by 97 times in 2 years, the interest being compounded annually? [Give your answer correct to 1 decimal place.]

Select the triad that follows the same pattern as the one followed by the two triads given below. Both triads follow the same pattern.

KG-NI-PS

NJ-QL-SV

Select the term from among the given options that can replace the question mark (?) in the following series.

RXU 34 TUQ 23 VRM 12 XOI 1 ?

A, B, C, D, E, F and G sit around a circular table facing centre. Only three people sit between A and C when counted from the left of A. Only three people sit between E and G when counted from the right of G.B sits to the immediate right of E. D is an immediate neighbour of G as well as C. How many people sit between B and F when counted from the right of F?

Which numbers should come in place of the question mark (?) in the same sequence to make the series logically complete?

7 24 58 126 262 ?

35 is related to 42 following a certain logic. Following the same logic, 80 is related to 96. To which of the following is 65 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.)

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.)

Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that DOES NOT belong to that group?

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 :: ?

: LFI :: SMP : %

Refer to the following letter, number and symbol series and answer the question that follows. Counting to be done from left to right only. 

(Left) Y # 3 R 6 C & T % 7 2 K & 5 G E * S D 4 @ (Right)

How many such letters are there which are immediately preceded by a symbol and also immediately followed by a number?

In a certain code language, ‘SKEW’ is coded as ‘1836’ and ‘WOKE’ is coded as ‘6283’. What is the code for ‘O’ in the given code language?

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?

Refer to the given letter, number, symbol series and answer the question that follows.

(Left) 5 4 D * S R + 6 3 % 7 Y # K E G 2 C & T @ (Right)

How many such numbers are there, that are immediately preceded by a letter and also immediately followed by a symbol?

All 38 people are standing in a row facing north. Vikash is 18^th from the right end while Kerisha is 12^th from the left end. How many people are there between Vikash and Kerisha?

Stu starts from Point A and drives 31 km towards south. He then takes a right turn, drives 36 km, turns right and drives 11 km. He then takes a right turn and drives 12 km. He then takes a right turn, drives 16 km, turns left and drives 9 km. He takes a final left turn, drives 36 km and stops at Point P. How far (the shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only, unless specified.) 

Seven boxes O, P, Q, R, S, T and D are kept one over the other but not necessarily in the same order. Only three boxes are kept above T. Only one box is kept between O and T. Only three boxes are kept between O and D. D is kept at some place above T. P is kept immediately below D. S is kept at one of the places above R. Q is not kept immediately above or below O. How many boxes are kept between Q and R?

Seven people, B, C, D, E, F, G and Q, are sitting around a circular table facing the centre of the table. D sits fourth to the right of B. Only D sits between Q and E. Only F sits between B and E. E sits third to the left of G. How many people sit between F and C when counted from the right of F?

C is the son of F. F is the brother of E. E is the son of G. G is the wife of H. How is C related to H?

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 1378564, what will be difference between the highest and lowest digits in the new number thus formed? 

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 spoons are forks.

All forks are jars.

Some jars are plates.

Conclusions:

(I): Some forks are plates.

(II): Some spoons are plates.

In a certain code language, ‘WIDE’ is coded as ‘6879’ and ‘DOGS’ is coded as ‘4318’. What is the code for ‘D’ in that language?

Refer to the following number, symbol series and answer the question that follows. Counting to be done from left to right only.

(Left) 2 & 4 6 % 7 $ & 1 # 3 Ω @ 8 * £ 5 9 (Right)

How many such symbols are there each of which is immediately preceded by a number and also immediately followed by another number$?

Select the correct mirror image of the given figure when the mirror is placed at line MN as shown. 

Naman starts from Point A and drives 8 km towards East. He then takes a right turn, drives 5 km, turns right and drives 10 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.)

Y, X, D, E, U, G and P have different ages. X is younger than U. Only Y is elder than G. Only one person is aged between X and G. D is elder than E but younger than P. Who is the third youngest?

A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. E lives on a floor that is a prime number. The product of the floors on which E and C live is 8. F lives immediately above A. The sum of floors on which C and B live is 7. How many people live between E and F?

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 ::?

: AGJ :: GMP : %

What should come in place of the question mark (?) in the given series based on the English alphabetical order?

SVX QTV ORT MPR ?

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 five, three-digit numbers given below.

(Left) 759 843 719 857 735 (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 second digit of the highest number is added to the second digit of the lowest number?

S is the wife of D. D is the brother of F. F is the mother of G. G is the father of H. How is S related to H?

In a certain code language, ‘believe in yourself’ is coded as ‘mb tk jb’ and ‘in the middle’ is coded as ‘ab jb wt’. How is ‘in’ coded in the given language?

If ‘P’ stands for ‘×’ , ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’ , what will come in place of the question mark ‘?’ in the following equation?

(32 S 32) S (24 S 24) P 2 R 60 S 108 Q 2 = ?

23 is related to 21.7 following a certain logic. Following the same logic, 29.4 is related to 28.1. To which of the following is 26.8 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.)

Each of the digits in the number 7832145 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed?

Based on the English alphabetical order, three of the following four are alike in a certain way and thus form a group. Which is the one that DOES NOT belong to that group?

Which of the following international sports event was NOT held in the year 2023? 

Which sensitive dye turns yellow in the presence of acid with pH between 6.0 – 7.6?

Quwwat-al-islam mosque is nearest to which of the following historical monuments?

Which Article of the Indian Constitution provides for an independent Election Commission for the ‘superintendence, directions and control of the electoral roll and the conduct of the elections of India? 

The Central Goods and Services Tax (Second Amendment) Bill, 2023 increased the age limit for the president of the Tribunal from ______.

Which adulterant is added to increase the solids-not-fat (SNF) content in milk and the yield of dairy products?

Industrial Policy Resolution, 1956 was adopted in which of the following five-year plans?

Which of the following periods was considered as the second phase of the Green Revolution in India?

Which of the following is also known as congenital ovarian hypoplasia syndrome which is found only in females? 

As a reaction to the Muslim fundamentalism, the Hindu Mahasabha was founded in which of the following years?

Which of the following styles of Thumri singing is meant to be fairly slow and staid?

In reference to air transport of India, what is the full form of AERA? 

Who among the following is the Chairman of the Defence Research and Development Organisation (DRDO) as on December, 2023?

A method for measuring atmospheric pressure was first devised by _____.

Who was serving as the Managing Director of the International Monetary Fund (IMF) since 1 October 2019 and has been selected by the IMF’s Executive Board to serve for a second five-year term, starting 1 October 2024? 

How does the Indian Government finance its fiscal deficit?

Which of the following is the primary reason for the high literacy rate in Kerala?

Which of the following winds govern the climate of India during winter?

Which of the following is NOT one of the broad objectives of NITI Aayog?

Who assumed charge as Minister of Earth Sciences in June 2024 in the newly formed union cabinet?

Which of the following Articles of the Indian Constitution deals with the administration of Union Territories? 

Which of the following schemes was launched by Rajnath Singh to promote innovations in critical and strategic defence technologies, during DefConnect 2024 in New Delhi on 4 March 2024?

Qutb ud-Din Aibak was fond of which of the following outdoor sports?

In 1309, who invaded the Kakatiya kingdom?

The Ganga-Brahmaputra-Meghna system is composed of which of the following main sub-basins?

In November 2023, generic drugs for four rare diseases were made available in India, out of which 'Nitisinone' is used for the treatment of: 

Which of the following games made its maiden participation at National Games 2023?

Which of the following is NOT a function of the Governor of the State?

Which initiative was launched by the Union Education Minister to promote digital skill development among rural youth, particularly women, in 2023?

Which of the following articles of Indian Constitution deals with the executive power of the Union?

Which of the following does the term 'household' mean according to the Census?

The type of stress that acts coplanar along a given cross-section of the material is defined as ________.

If the court finds that a person is holding office but not entitled to hold that office, it issues the writ of ______ and restricts that person from acting as an office holder. 

'Nada' is a musical sound in the Carnatic Classical Music, which is of two kinds; 'Ahata' and '_______' 

Who among the following was the Architect of the building 'St. Francis Church' in Kochi?

Which of the following states has benefited from the ‘Sirhind’ canal?

What is the primary function of development banks in the context of India's industrial growth?

Who taught medicine in Taxila around 6^th century BCE?

During which of the following seasons do the Southwest Monsoon winds enter the Indian Peninsula?

Who among the following established the Atmiya Sabha in 1815?

In which of the following years was Rajiv-Longowal Peace accord signed by Indian Prime Minster Rajeev Gandhi and Akali leader Harchand Singh Longowal?

Moved by the Swadeshi movement, ____________ painted his famous image of Bharat Mata in 1905. 

At which of the following Air Force bases did the Indian Air Force (IAF) contingent participate in the Exercise Red Flag, 2024?

In which language is the book ‘Amar Jiban’ written?

Which of the following is the coverage provided by the 'Pradhan Mantri Suraksha Bima Yojana (PMSBY)' in case of partial disability?

The Indian men’s hockey team beat the team of which country to win the bronze medal at the Paris 2024 Olympics?

How are environmental defensive expenditures classified at the aggregate level in national accounting?

BharatGen is a key initiative of Ministry of Science & Technology, launched in October 2024. Which of the following statements is true about this initiative?

Which part of the Indian Constitution is related to citizenship?

When several factors affect any [bio] chemical process, Law of Limiting Factors comes into effect. This law is given by: