A train runs at a speed of 111 kmph to cover a distance of 222 km and then at a speed of 86 kmph to cover a distance of 258 km. Find the average speed of the train for the entire distance.

Find the value of \(\rm \left[(30\div5)\times \left{\frac{30}{6}+\frac{19}{1}\times (4-3)\right}\right]\)

Lalit's average earning per month in the first three months of a year was ₹4080. In April, his earning was 75% more than the average earning in the first three months. If his average earning per month for the whole year is ₹66405, then what will be Lalit's average earning (in ₹) per month from May to December?

A shopkeeper sells an item for ₹940.8 after giving two successive discounts of 84% and 44% on its marked price. Had he not given any discount, he would have earned a profit of 25%. What is the cost price (in ₹) of the item?

A sum, when invested at 20% simple interest per annum, amounts to ₹2160 after 3 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 year?

Manish's average earning per month in the first three months of a year was ₹8784. In April, his earning was 25% more than the average earning in the first three months. If his average earning per month for the whole year is ₹99085, then what will be Manish's average earning (in ₹) per month from May to December? 

The difference between the smallest and the largest fractions among

\(\frac{5}{9}, \frac{7}{7}, \frac{11}{26}, \frac{14}{16}\) is:

Find the area of polygon ABCDE (in square cm) if AE=20 cm and AB=15 cm; quadrilateral BCDE is a square

The average of eight numbers is 20. The average of five of these numbers is 20. The average of the remaining three numbers is

A train runs at a speed of 84 kmph to cover a distance of 336 km and then at a speed of 96 kmph to cover a distance of 192 km. Find the average speed of the train for the entire distance. 

At what rate per cent per annum will a certain sum of money multiply itself by 55 times in 2 years, the interest being compounded annually? [Give your answer correct to 1 decimal place.] 

A water tank is in the form of a right circular cone with radius 3 m and height 14 m. The tank is filled with water at the rate of one cubic metre per second. Find the time taken, in minutes, to fill the tank.

A person covers certain distance in 2 hours at a speed of 10 km/h and some more distance in 4 hours at a speed of 6 km/h. Find his average speed for the entire distance covered.

Komal invested a sum of ₹5000 at 20% per annum compound interest, componded annually. If she received an amount of ₹7200 after n years, the value of n is:

The average of eight numbers is 20. The average of five of these numbers is 15. The average of the remaining three numbers is 

Which of the following fractions is the largest?

\(\frac{5}{9}, \frac{3}{79}, \frac{14}{45}, \frac{34}{79}\)

The difference between the smallest and the largest fraction among \(\frac{3}{8}, \frac{5}{9}, \frac{26}{27}, \frac{15}{32}\) is:

During sale, Raghav bought a notebook marked for ₹44 at 25% discount and a pen marked for ₹15 at 80% discount. How much (in ₹) did he save due to sale?

For a positive integer b > 1, if the product of two numbers 6344 and 42b8 is divisible by 12, then find the least value of b.

The smallest 1-digit number to be added to the 6-digit number 405437 so that it is completely divisible by 11 is:

Mansi and Neha together invested ₹40400 in a business. At the end of the year, out of a total profit of ₹5000, Mansi's share was ₹1900. What was the investment of Neha?

Simplify the following:

[{(-0.4) + (4.6)² + (2.3)²} ÷ 5] - 3.24

Given that 87^0.27 = x, 87^0.15= y and x^z = y⁶ , then the value of z is close to:

400 chickooes were bought at ₹1410 per hundred and were sold at a profit of ₹860. Find the selling price (in ₹) per dozen of chickooes.

The population of a village was 130000. It increased by 10% in the first year and increased by 25% in the second year. Its population after two years is _______. 

The price of fuel decreases by 60%, 30% and 20% in three successive months, but increases by 60% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

Which of the following ratio is smallest?

Express the following as a vulgar fraction. 

\(0.\overline{23}+0.\overline 2+4\)

A vendor claims to sell wheat at a loss of 25%. But he cheats by using weights that weigh 55% less than what is mentioned on them. What is his profit percentage (rounded off to 2 decimal places)?

Anmol completes his journey in 10 hours. He covers half the distance at 46 km/h and the rest at 69 km/h. What is the length of the journey (in Km)?

If 28 x 8 x 988 ÷ \(\sqrt{2704}\) = y + 649, then find the value of y.

Ishita and Isha invest in a business in the ratio 31 : 23. If total profit is Rs. 2646, then what is difference between the profit (in Rs.) of Ishita and Isha?

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 21 m and 115 m. Take π = \(\frac{22}{7}\)

The average weight of 8 men is decreased by 3 kg when one of them whose weight is 56 kg is replaced by a new man. What is the weight of the new man? 

Study the given table and answer the question that follows.

The table shows the monthly expenditure (in ₹) of five people on education, rent, food, conveyance and electricity.

Find the difference between the average amount spent on education and the average amount spent on conveyance.

Each of P, Q, R, S, T, U and V go to swim on a different day of a week starting from Monday and ending on Sunday of the same week. P goes to swim on Saturday. Exactly three people go to swim between P and U. Exactly two people go to swim between U and T. Exactly two people go to swim between Q and R. Exactly three people go to swim between S and V. Exactly two people go to swim between S and R. When does T go to swim?

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.)

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

This question is based on the following words.

PAD SHE NOT WIN

If in each of the words, each letter is changed to the next letter in the English alphabetical order, how many words thus formed will have no vowel?

RN 13 is related to TM -6 in a certain way. In the same way, LO 9 is related to NN -10. To which of the following is OS 3 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.)

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

(Left) F & L A V @ * K Z > N E $ B = M U & # T £ G € Z (Right)

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

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?

30 ÷ 3 + 14 × 2 − 6 = ?

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7318456, 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?

In a certain code language, ‘WARD’ is coded as ‘2619’ and ‘DART’ is coded as ‘4962’. What is the code for ‘T’ in the given code language?

Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. R has an exam on Wednesday. Exactly 3 people have an exam between R and U. V has an exam immediately after S and Q has an exam immediately before S. Only 3 people have an exam between P and S. Who has an exam on Monday?

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 :: ?

: LNI :: QSN : %

Ram starts from Point A and drives 6 km towards East. He then takes a right turn, drives 2 km, turns right and drives 3 km. He then takes a left turn and drives 4 km. He takes a final right turn, drives 3 km and stops at Point B. 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.)

This question is based on the five, three-digit numbers given below.

(Left) 479 152 937 512 738 (Right)

(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)

NOTE: All operations to be done from left to right. 

If all the numbers are arranged in ascending order, the position(s) of how many numbers will remain unchanged?

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 :: ?

: USN :: PNI : %

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

TVO RTM PRK NPI ?

If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will be come in place of question mark ‘?’ in the following equation?

3 B 41 A 3 D 34 C 17 = ?

29 is related to 30.6 following a certain logic. Following the same logic, 35.2 is related to 36.8. To which of the given options is 32 related to, 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.)

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 3 6 9 & & © 9 € 9 8 © 4 $ # 3 4 $ * € £ (Right)

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

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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 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.) 

56, 63.4

84, 91.4

LMN starts from Point A and drives 18 km towards East. He then takes a right turn, drives 13 km, turns right and drives 29 km. He then takes a right turn and drives 17 km. He takes a final right turn, drives 11 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.)

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

13 22 40 67 103 ?

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.)

Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.

In a certain code language, ‘inspire others daily’ is written as ‘lo ab ef’ and ‘daily routine matters’ is coded as ‘mo ef tu’. How is ‘daily’ coded in the given language?

Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete?

OEK 16 PJN 9 ? RTT −11 SYW −24

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 stoves are cylinders.

All cylinders are mixers.

Some cylinders are grinders. 

Conclusions:

(I) Some grinders are cylinders.

(II) Some mixers are grinders.

P, Q, R, U, V and W live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 6. 

V lives on floor number 5. P lives on a floor above V. Only U lives below R. W lives on an even numbered floor. How many people live below Q?

The 3 figures given below are alike in a certain way as they share certain feature(s). Select the option that shares the same features as the given figures.

A is daughter of B who is sister of C. D is the father of E who is the husband of C. What is A to D?

E, A, R, T and H each have different age. Only four people are younger than R. There are only two people who are aged between T and A. H is younger than E but elder than A. How many people are elder than E?

Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only two people sit between G and C. Only D sits to the right of F. Only one person sits between C and F. A sits at some place to the right of E but at some place to the left of B. How many people sit to the right of A?

I, J, K, L, P, Q and R are e sitting in a row facing north. Only two people sit to the right of K. Only two people sit between K and R. Only two people sit between I and Q. Q sits to the immediate left of K. L sits to the immediate right of P. Who sits at the third position from the left end of the line? 

In a certain code language,

A + B means ‘A is the sister of B’,

A – B means ‘A is the father of B’,

A x B means ‘A is the brother of B’ and

A ÷ B means ‘A is the wife of B’.

How is P related to T if ‘P x Q ÷ R – S + T’?

In a certain code language, ‘OWNS’ is coded as ‘4957’ and ‘NEWS’ is coded as ‘9247’. What is the code for ‘E’ in that language?

Based on the English alphabetical order, three of the following four leer-clusters are alike in a certain way and thus form a group. Which leer-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 leer-cluster.)

Earth’s magnetism is caused by the:

As per announcement made by the All India Football Federation on 2 October 2024, which city will host the final rounds of the 78^th National Football Championship for the Santosh Trophy?

Mahmud Gawan was granted the title of Chief of the Merchants or Malik-ut-Tujjar by __________. 

When was the Sadharan Brahmo Samaj established in British India?

Which of the following names of ‘slash and burn’ agriculture is related to India?

Which of the following arguments is NOT in favour of globalisation?

What is the term used to describe the different forms of a gene?

Who among the following was the Architect of the 'Victoria Memorial' in India?

Which of the following Parts of the Indian constitution deals with District Judiciary of India?

Provisions of Directive Principles of State policy are under:

A UV light is passed from an optical fiber into air at an angle of 45° and the refractive index of the fiber is √2. The angle of refraction will be: 

The UN Trade and Development (UNCTAD) and the Government of Barbados organised the first Global Supply Chain Forum in Barbados in which month in 2024?

Which of the following is the main characteristic of the convergent plate boundary? 

Fort William College was founded by ____________ to train the young British recruits to the civil services in India.

Kristalina Georgieva has been re-appointed as the MD of which international organisation for a second 5-year term starting from 1 October 2024?

With the objective of developing a vibrant semiconductor ecosystem, in September 2024, the Union Cabinet approved the proposal of Kaynes Semicon Pvt Ltd to set up a semiconductor unit in which of the following places? 

In which year did C Rajagopalachari voice the demand for a constituent assembly based on adult franchise?

In which year did India achieve a milestone in defense R&D as DRDO conducted a successful ight test of the Indigenous Technology Cruise Missile (ITCM)?

Which of the following is the Average propensity to save?

The Dark Patterns Buster Hackathon was launched by the Indian government in October 2023 to develop apps, plug-ins, add-ons etc. to identify dark patterns in ____________.

Who among the following is credited as the originator of the Kirana gharana, a prominent lineage in Hindustani classical music?

Select the correct option if pH=pKa in the Henderson-Hasselbalch equation.

Which of the following is NOT a component of privatisation?

Who was the first Registrar General and Census Commissioner of India after independence?

Pala Rulers were primarily great patrons of which religion/sect?

There were constant conflicts between Vijayanagar and ________ over the control of the Raichur doab, which was the land between the rivers Krishna and Tungabhadra.

 By which of the following processes, do plants release water from the structures called 'hydathodes', on the edges or margins of leaves?

Which of the following was the objective of the Setu Bharatam project unveiled by PM Narendra Modi on 4 March 2016?

 India’s Lakshya Sen lost his men’s singles bronze medal match at the Paris 2024 Olympics badminton tournament against a player of which country?

Who wrote the book 'Reenchantment - Masterworks of Sculpture in Village Temples of Bihar and Orissa'?

Which of the following is NOT considered as technical agrarian reforms?

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

In the Thar desert, the day temperature can soar up to 50°C, while at night, it can drop to as low as 15°C. Based on the statement, which of the following types of temperature variation is observed in the Thar desert? 

Dena bank was merged with which public sector bank?

Under which writ the court orders a lower court or another authority to transfer a matter pending before it to the higher authority or court?

Which of the following is the primary function of the cell membrane?

Which Indian Nobel Peace Laureate credited with innovative approach to Child Empowerment through Bal Mitra Gram and Bal Panchayat was made the Sustainable Development Goals Advocate for 2021-2023?

Who among the following announced the establishment of two National Centres of Excellence (NCOE) exclusively for women on the occasion of International Women’s Day on 8 March 2024?

Which of the following years is called the great divide year because of the all time low population of India?

Which of the following is INCORRECT in relation to the Indian political system?

According to the ancient Indian history, Sulvasutras was related to which of the following?

Which of the following authorities constitute the Ethics Committee in the Rajya Sabha?

From which coast, India Successfully carried out a test launch of tactical ballistic missile Prithvi-II on January 10, 2023?

Who among the following was awarded with the prestigious International Astronautical Federation World Space Award in October, 2024?

In which of the following places was the Prarthana Samaj set up?

Which of the following is NOT a sub-scheme under the PRITHVI scheme of the Ministry of Earth Sciences?

What unique role does the Small Industries Development Bank of India (SIDBI) play in the growth of SMEs?

The National Commission on Agriculture (1976) of India has classified social forestry into three categories: 

Who is credited with systematising the Hindustani Ragas under the 'Thaat' system?

Which of the following statements is true with respect to cropping seasons in India?