How much sugar at ₹14.5 a kg should be added to 22 kg of tea at Rs. 25 a kg, so that the mixture be worth Rs. 18 a kg.

Given that 59^0.46 = x, 59^0.21= y and x^z = y⁵ , then the value of z is close to:

The marked price of an article is ₹492. The shopkeeper offers a discount of 39% on the purchase of the article. Thereby, he makes a profit of 22%. The cost price of the article is: 

Which of the following ratio is smallest? 

A bank offers 9.4% compound interest per annum calculated on a half-yearly basis. A customer deposits ₹8716 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is ________. [Give your answer correct to 2 decimal places.]

If the volume of cube is 4096 m³ , then find the total surface area of cube in m²

The expenditure of Sudha is 200% more than her savings. If her expenditure decreases by 6% and savings increase by 26%, then by what percent does her income increase?

Find the value of 50 ^-3 ÷ 50¹⁵ × 50 ^-18

During sale, Raghav bought a notebook marked for ₹28 at 25% discount and a pen marked for ₹75 at 16% discount. How much (in ₹) did he save due to sale?

A dishonest vendor claims that he is selling goods at their cost price. But he is weighing 652 grams for 1000 grams. What is his profit percentage (rounded off to 2 decimal places)?

Find the surface area of a sphere whose diameter is equal to 92 cm. 

The pie-chart shows the sales of an item on different days of a week. Study the given pie-chart and answer the question that follows.

The angle made at the centre by the sales on Wednesday is (in degrees):

Find the simple interest (in ₹) on ₹2000 at 6.25% per annum rate of interest for the period from 11 February 2023 to 25 April 2023

Find the value of 30^-5 ÷ 30¹⁷ × 30 ^-16

Two trains of equal length are running on parallel lines in the same direction at speeds of 76 km/h and 67 km/h. The faster train passes the slower train in 56 seconds. The length of each train is:

The average of 7 numbers is 43. If each number is decreased by 7, what will the new average be?

Isha and Anshu together invested ₹49700 in a business. At the end of the year, out of a total profit of ₹8800, Isha's share was ₹2200. What was the investment of Anshu?

What will be the remainder when 111²⁰²⁴ is divided by 112?

The selling price of 50 books is equal to the cost price of 21 books. Find the loss or gain percentage.

The smallest natural number which is divisible by 12, 8, 75 and 15 is:

Ravi has 1458 litres of a mixture of milk and water. The ratio of milk to water in this mixture is 8 : 1. How much water (in litres) should Ravi add into the mixture so that the ratio of milk and water becomes 6 : 5?

The average of eight numbers is 19. The average of five of these numbers is 20. The average of the remaining three numbers is

Raghu scored 34, 43, 21, and 28 marks in four consecutive slip tests conducted in his school. How much should he score in the fifth slip test in order to have an average score of 30 marks ? 

Find the least value of ‘x’ so that the 8-digit number 85264x16 is divisible by 8. 

If 19 × 8 × 940 ÷ \(\sqrt{2209}\) = y + 557, then find the value of y.

The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 245, determine the number of boys participating in the sports. 

A 185 m long train crosses a man walking at a speed of 9.9 km/h in the opposite direction in 6 seconds. What is the speed (in km/h) of the train?

A number when increased by 50 %', gives 3960. The number is:

The value of

\(\frac{2}{8}+\frac{3}{8}+\frac{3}{16}+\frac{4}{8}-4= \)

My kid brother is playing with a kite whose area is 15 sq cm and the sum of its diagonals is 11 cm. Find its diagonals in centimetres.

Anmol completes his journey in 16 hours. He covers half the distance at 72 km/h and the rest at 56 km/h. What is the length of the journey (in Km)? 

Two trains of equal length are running on parallel lines in the same direction at speeds of 101 km/h and 71 km/h. The faster train passes the slower train in 18 seconds. The length of each train is:

The smallest 1-digit number to be added to the 6-digit number 874146 so that it is completely divisible by 11 is:

The smallest 1-digit number to be added to the 6-digit number 806039 so that it is completely divisible by 11 is:

Nidhi invested a sum of ₹9600 at 15% per annum compound interest, componded annually. If she received an amount of ₹12696 after n years, the value of n is:

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 Thursday. Exactly 4 people have their exam between U and Q, neither of whom has an exam on Sunday. P has an exam immediately before S. V does not have an exam on Friday. U does not have an exam after S. How many people have an exam after Q?

Qars starts from Point A and drives 13 km towards north. He then takes a right turn, drives 11 km, turns right and drives 25 km. He then takes a right turn and drives 19 km. He takes a final right turn, drives 12 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 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.)

(34, 108, 7)

(33, 121, 23)

Each of A, B, C, D, P, Q and R has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. No one has exam before D. Only three people have exam between D and Q. Only one person has exam between Q and R. B has exam on Wednesday. A has exam on one of the days after C but on one of the days before P. On which day of the week does A have exam?

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

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 letter-cluster pair that 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 letter-cluster.)

In a certain code language, ‘dreams come true’ is coded as ‘mp tb ko’ and ‘come on time’ is coded as ‘uk ko jb’. How is ‘come’ coded in the given language?

In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one that follows the same logic.

WAYS - WSAY - SWYA

FERN - FNER - NFRE

This question is based on the following words.

BUS THE YOU DEN

In each of the words, each vowel is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. In how many letter-clusters thus formed, will no vowel appear?

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

(Left) 672 745 462 378 417 (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 multiplied with the second digit of the lowest number?

All 59 people are standing in a row facing north. Wang is 2^nd from the left end while Chow is 1^st from the right end. How many people are there between Wang and Chow?

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 man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Aman starts from Point A and drives 6 km towards West. He then takes a left turn, drives 3 km, turns right and drives 5 km. He then takes a right turn and drives 3 km. He takes a final right turn, drives 4 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.) 

B is the son of A. C is the wife of B. D is the daughter of C. E is the son of B. How is E related to A?

A - B means ‘A is the son of B’,

A $ B means ‘A is the sister of B’,

A @ B means ‘A is the daughter of B’ and

A * B means ‘A is the father of B’.

Based on the above information, which of the following means that W is the sister's son of S$?

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.)

13 - 26 - 30 - 22; 17 - 34 - 38 - 30

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

FA-HD-KN

ID-KG-NQ

I, J, K, L, M, N and W are sitting around a circular table facing the centre of the table. Only one person sits between L and J, when counted from the right of L. Only one person sits between J and N. Only one person sits between L and W. Only two people sit between M and N. Only one person sits between K and W. How many people sit between I and J, when counted from the right of I?

In a certain code language, ‘FAIR’ is coded as ‘3716’ and ‘ARID’ is coded as ‘3169’. What is the code for ‘D’ in the given code language?

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 1675843, what will be difference between the highest and lowest digits in the new number thus formed?

If 1 is added to each even digit and 2 is subtracted from each odd digit in the number 3256378, 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?

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 tables are desks.

All desks are boards.

Some tables are chairs.

Conclusions:

(I): Some desks are chairs.

(II): Some boards are chairs.

In a certain code language, ‘explore new opportunities’ is written as ‘ab tb mb’ and ‘opportunities await you’ is coded as ‘tb kb cb’. How is ‘opportunities’ coded in the given language?

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 ::?

: CJP :: NUA : %

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?

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

YAC37, HJL46, QSU55, ZBD64, ?

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) © K % O $ 3 L © X # # 8 Z R © F 1 N 8 % Q N (Right)

If all the letters are dropped from the series, which of the following will be fifth from the left$?

N, D, L, M, O, B and T have different heights. D is shorter than only two people. There are only three people who have heights between D and B. There are only two people who are taller than O but shorter than N. Only M is taller than N. T is taller than L. Who is the second shortest?

Each of the digits in the number 6147385 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?

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

81 84 90 99 111 ? 144 ?

G, H, I, J, M, N and O are sitting in a row facing the north. Only G sits to the left of J. Only four people sit between G and H. Only O sits between N and I, and N is not an immediate neighbour of H. Who sits at the extreme right of the line?

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.)

Each vowel in the word FORMATS is changed to the letter immediately following it in the English alphabetical order and each consonant is changed to the letter immediately preceding it in the English alphabetical order. How many vowels are there in the group of letters thus formed?

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

QTV ORT MPR KNP ?

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

Excessive production of which of the following hormones in the body causes the Cushing's syndrome, leading to weight gain and thinning of the skin?

In January 2015, the Government of India replaced the Planning Commission with:

How many Indian crew were present on oil tanker ‘Advantage Sweet’ which was seized by Iranian authorities in April 2023 and released in October 2023?

Jishnu Dev Varma, who was appointed as Governor of Telangana in July 2024, was the Former Deputy Chief Minister of which of the following states of India? 

Which edition of the World Future Energy Summit was held in Abu Dhabi in April 2024? 

What was India's rank in the Corruption Perceptions Index (CPI) for 2023?

The Mumbai High Field (previously Bombay High Field) discovered by the Russian and Indian team from the seismic exploration vessel Academic Arkhangelsky in February 1974, commenced production in which year?

In which of the following years was GATT established?

Which of the following statements is correct regarding the Andaman and Nicobar Islands?

The Indian Navy’s trilateral exercise known as ‘IMT TRILAT’ was held jointly with:

Diazonium salt is formed by treating primary amine with which Brønsted acid?

Name the viral infection that is also known as 'Shingles' and causes painful rashes or blisters on the skin.

In which of the following years did Mamata Banerjee found All India Trinamool Congress?

In which of the following cities of India was the three-day national horticultural fair2024 of the Indian Institute of Horticultural Research (IIHR) on the theme 'Nextgen technology led horticulture for sustainable development' organised in March 2024?

Reserpine, an indole alkaloid drug used to reduce high blood pressure, is obtained from_________.

The ____________ has appellate jurisdiction on all subordinate courts in the district. 

To which Gharana did the renowned singer Girija Devi, known for her 'Thumri' renditions, belong?

Which edition of the Khelo India Para Games (KIPG) 2023 was held at New Delhi in December 2023?

Researchers at IIT Bombay developed an instrument named GolDN for mechanically recycling waste plastic polymers through ___________. 

Who among the following was appointed as the new Director General of the Geological Survey of India (GSI) in June 2024? 

Who among the following had the shortest tenure as the President of India?

Which of the following falls in an area of low rainfall?

Which of the following states have a higher percentage of multi-dimensionally poor?

Dinesh K Tripathi became the Chief of _________________ in January 2024. 

A saccharimeter is a type of ______________.

Which of the following statements about the cardinal features of the political system in India are correct?

1. It is a democratic republic.
2. It has a Parliamentary form of government.
3. The Supreme Power draws its power from the people of India.
4. It provides for a unified authority.

According to the Census 2011, which of the following union territories has the highest population growth? 

Bindusara ruled between which of the following periods?

Who among the following was associated with 'Ulgulan movement'? 

Which of the following pairs (seasons and months, according to the Indian Calendar) is INCORRECT?

In which year did the Government of India launch the Smart Cities Mission?

Article 19(1)(a) of the Indian Constitution refers to _________.

Pallavi, Anupallavi and Mukthayi-Svara, collectively known as Purvanga, belong to which Carnatic music genre?

Which of the following is a Foreign Bank? 

Which of the following constitutional bodies is responsible for ensuring Free and Fair Elections?

Which of the following parts of the Indian Constitution deals with the Fundamental Duties?

Asia’s first pre-clinical network facility was inaugurated in which of the following Indian cities in July 2024?

Match the following correctly.

Which of the following places was made the capital of the Rashtrakutas by Dantidurga?

What is the primary goal of fiscal consolidation?

Who is author of the book ‘Rays and Ways of Indian Culture’?

The members of the constituent assembly were elected by ___________.

Indian para-athlete Sumit Antil won a gold medal in which event at the Paris 2024 Paralympic Games?

Which of the following indigenous tribes celebrates the Mopin festival?

As per the Census 2011, which of the following union territories has the highest literacy rate?

The angle between the vector A = 3i + 6j − 2k and B = 4i − j + 3k is:

Who among the following founded Gurjara-Pratihara dynasty after winning Kannauj in the tripartite struggle?

Which of the following is NOT a Poverty Estimation Committee?

Who among the following woman social reformers, who educated at home at Poona and published a book, 'Stripurushtulna'?

Which of the following is a significant challenge faced by microfinance institutions in India?