Express the following into a vulgar fraction. 

\(0.4\overline2 +0.\overline{42}\)

The average price of three items of furniture is Rs 16020. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is

LCM and HCF of two numbers are 192 and 32 respectively. If one of the numbers is 64, then find the other number.

A sum, when invested at 20% simple interest per annum, amounts to ₹2160 after 4 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 years ?

Lalit's average earning per month in the first three months of a year was ₹38360. 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 ₹55065, then what will be Lalit's average earning (in ₹) per month from May to December?

Express the following into vulgar fraction.

\(0.6\overline{41}+0.\overline{23}\)

A train runs at a speed of 137 kmph to cover a distance of 411 km and then at a speed of 109 kmph to cover a distance of 327 km. Find the average speed of the train for the entire distance.

Find the maximum value of ‘x’ so that the number 9052743x2 is divisible by 8. 

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 9 hours 30 minutes. He would have gained 7 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?

A shopkeeper marks an article at ₹x and offers a discount of 60% on it. He sells it for ₹444 after charging VAT of 25% on the discounted price. What is the value of ₹ x?

The areas of three adjacent faces of a solid cuboid are 127 cm² , 32 cm² and 254 cm² . What is the volume (in cm³ ) of the cuboid?

LCM and HCF of two numbers are 150 and 5 respectively. If one of the numbers is 15, then find the other number.

The area of a square plot is 841 m² . The length of each side of the plot (in m) is:

The given pie chart shows the breakup of the cost of construction of an office.

If the total cost of construction is ₹9,00,000, by how much does the amount spent on cement exceed the amount spent on labour?

By selling an article at \(\frac{2}{5}\) of its actual selling price, Ramesh incurs a loss of 16%. If he sells it at 73% of its actual selling price, then find the profit/loss percentage.

David sold 172 chairs and had a gain equal to the selling price of 86 chairs. What is his profit percentage?

If 25% of a number is added to 72, then the result is the same number. 60% of the same number is:

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 250 m and 126 m. take π = \(\frac{22}{7}\)

A bank offers 6.6% compound interest per annum calculated on a half-yearly basis. A customer deposits ₹4823 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.] 

How much water should be mixed in 40 litres of milk worth Rs. 6.90 per litre, so that the value of the mixture is Rs. 4.60 per litre?

A number when increased by 50%, gives 3870. The number is:

During sale, Raghav bought a notebook marked for ₹50 at 40% discount and a pen marked for ₹32 at 50% discount. How much (in ₹) did he save due to sale?

A train runs at a speed of 148 kmph to cover a distance of 296 km and then at a speed of 98 kmph to cover a distance of 294 km. Find the average speed of the train for the entire distance.

If x = 2 + √9 and y = 2 - √9 then the value of x² + y² is:

Three partners invested in a business in the ratio 3:9:8. They invested their capitals for 10 months, 1 months and 4 months, respectively. What was the ratio of their profits?

Evaluate 85²

The value of 

\(\frac{5}{5}+\frac{5}{5}+\frac{4}{10}+\frac{1}{5}-2= \)

 If at same rate of interest, in 2 years, the simple interest is ₹60 and compound interest is ₹64, then what is the principal (in ₹)?

The smallest natural number which is divisible by 15, 63, 21 and 70 is:

The average of 7 numbers is 45. If each number is decreased by 5, what will the new average be?

Latika and Himani together invested ₹47800 in a business. At the end of the year, out of a total profit of ₹7500, Latika's share was ₹2700. What was the investment of Himani?

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 56 m and 154 m. take π = \(\frac{22}{7}\)

If third proportional of 36 and 18 be x, then what is the value of x?

Four years ago, the average age of P, Q and R was 25 years. If three years ago, the average age of P and Q was 20 years, find the present age of R. 

A train runs at a speed of 81 kmph to cover a distance of 405 km and then at a speed of 88 kmph to cover a distance of 176 km. Find the average speed of the train for the entire distance.

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

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 :: ?

: HJE :: OQL : %

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3617845, which of the following digits will be second from the left in the new number thus formed?

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.)

(10, 130, 13)

(11, 187, 17)

FGH starts from Point A and drives 16 km towards south. He then takes a left turn, drives 12 km, turns left and drives 28 km. He then takes a left turn and drives 23 km. He takes a final left 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.)

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.

DESK - EDSK - KEDS

ROAD - ORAD - DORA

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 shirts are pants.

All pants are trousers.

Some pants are coats.

Conclusions:

(I): Some trousers are coats.

(II): Some shirts are coats.

A is the sister of B's daughter C. K is the mother of C, and L is the father of K. How is A related to L?

All 29 people are standing in a row facing north. KLM is 8^th from the right end, while PRQ is 12^th from the left end. How many people are there between KLM and PRQ?

In a certain code language, ‘stay always positive’ is coded as ‘tk mp bk’ and ‘always on time’ is coded as ‘lj tk mo’. How is ‘always’ coded in the given language?

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 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 pair.)

NHLO is related to SMQT in a certain way based on the English alphabetical order. In the same way, PJNQ is related to UOSV. To which of the following is RLPS related, following the same logic?

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.)

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.)

If ‘I’ stands for ‘+’ , ‘J’ stands for ‘×’, ‘K’ stands for ‘÷’, and ‘L’ stands for ‘−’ what will come in place of the question mark ‘?’ in the following equation?

(16 I 9 L 13) I 7 J 5 L (22 K 2) I 4 J 9 = ?

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

143 170 234 359 ?

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

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

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

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

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

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

This question is based on the given words.

WIG RUT HEN JOY

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?

In a certain code language, ‘GIFT’ is coded as ‘5173’ and ‘FLOW’ is coded as ‘4612’. What is the code for ‘F’ in the given code language? 

Seven boxes, C, D, E, F, G, H and P, are kept one over the other but not necessarily in the same order. Only one box is kept below C. Only three boxes are kept between C and H. F is kept at one of the positions below C. Only P is kept between H and G. E is kept at one of the positions above H. How many boxes are kept between D and F?

Seven boxes U, V, W, X, P, Q and R are kept one over the other but not necessarily in the same order. Only two boxes are kept between P and U. Only X is kept above W. No box is kept below U. R is kept at some place below V but at some place above Q. Which box is kept third above Q? 

Five figures have been given, out of which four are alike in some manner and one is different. Select the one that is different.

Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results 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.) 

8 - 10 - 14 - 7; 6 - 8 - 12 - 6

Rahul starts from Point A and drives 7 km towards East. He then takes a right turn, drives 2 km, turns right and drives 4 km. He then takes a right turn and drives 6 km. He takes a final left 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.) 

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

In a certain code language, ‘ROMS’ is coded as ‘2613’ and ‘WORM’ is coded as ‘8326’. What is the code for ‘W’ in the given code language?

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

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

IXE 2 KSH −9 MNK −20 OIN −31 ?

G, H, I, J, K and L, each scored different marks. I scored the maximum marks. Only G scored less than K. L scored more than H but less than J.

How many people among the six, scored more than H but less than J?

A @ B means ‘A is the daughter of B’,

A * B means ‘ A is the father of B’,

A - B means ‘A is the son of B’ and

A $ B means ‘A is the sister of B’.

Based on the above information, which of the following means that H is the brother's daughter of D$?

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

24 ÷ 4 + 10 × 5 − 3 = ?

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

(Left) 157 643 351 267 872 (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 descending order, the position(s) of how many numbers will remain unchanged?

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

LDY 1 JGX -3 HJW 9 FMV -27 ?

D, E, F, G, H, I and T are sitting around a circular table facing the centre of the table. F sits third to the left of H. Only one person sits between H and T when counted from the left of T. Only two people sit between G and I when counted from the right of I. D is an immediate neighbour of G. Who sits third to the right of E?

Who among the following holds office during the pleasure of the President?

In March 2024, Sports Minister Anurag Thakur announced the establishment of how many National Centres of Excellence (NCOE) exclusively for women on the occasion of International Women’s Day?

Which Carnatic vocalist was popularly known as the 'Nightingale of India'?

When did Ashwini Vaishnaw launch Digital Intelligence Platform (DIP) of Department of Technology for Coordination among the stakeholders to curb misuse of telecom resources in cyber-crime and financial fraud?

NASA's very first space mission to study an M-type (metallic) asteroid, Psyche mission, was launched on which date from Kennedy Space Center?

Which of the following did the conventional method specifically define as 'quasimoney'?

VL-832, PBW-502 and Aditya (HD 2781) are varieties of which Indian crop?

Which of the following is the highest law officer in the Government of India?

Which of the following authorites in India have the power to terminate the citizenship of an individual under certain circumstances?

Which of the following Gurjara-Parthihara kings was highly praised by the Arabian scholar Sulaiman for keeping his empire safe from robbers?

Which Article of the Indian constitution deals with the advisory jurisdiction of the Supreme Court?

Which of the following factors mainly contributes to the difference of temperature between the coastal and interior areas? 

India’s first tilapia parvovirus contamination was reported in Tamil Nadu in October 2023. The virus primarily infected _________.

What characterises employment in the informal sector of the Indian economy?

Which of the following is the longest train route in India as of 2023?

At which of the following sessions of the Congress did it get split into the Moderates and the Extremists?

Equity in agriculture called for __________, which primarily refers to change in the ownership of landholdings.

Where is the Lalitagiri Buddhist site located?

Which of the following schemes has Shishu, Kishore and Tarun sub-schemes?

Which of the following union territories reported the highest literacy rate according to the Census of India 2011?

Spain joined the International Solar Alliance (ISA) as which member in May 2024? 

Through which of the following platforms does the New India Literacy Programme (NILP) encourage learners to access content in local languages across the country?

Which of the following has the highest specific heat capacity at room temperature and atmospheric pressure?

As part of military-to-military exchange programmes, a contingent of Indian Special Forces troops engaged in a bilateral joint training exercise GARUDA SHAKTI with which of the following countries in Nov 2022?

Identify the INCORRECT pair of biosphere reserve and its associated state from the given options. 

Who is the author of the story book The End of Imagination? 

Who among the following kings of the Gupta dynasty married the Lichchhavi princess (Kumari devi)?

Rauwolfia serpentina is a:

Which food safety management system published in 2005 provides a framework for organisations to manage food safety?

Which of the following was NOT a part of Shailendra Empire, founded in the South East Asia, in the 8^th Century CE?

According to the DSCI-SEQRITE India Cyber Threat Report, 2023, which of the following industrial sectors has/have detected the highest number of malware attack spectrums?

Which of the following launch vehicles was used to launch the Aditya- L1, the first solar mission of India?

In _________, tales from Mahabharata are sung as a ballad and one or two episodes are chosen for the night’s performance in Chhattisgarh. 

In eastern Bengal, Matua sect of social reformer, _______________ worked among Chandala cultivators

Where did the Judo Federation of India conduct the Senior National Judo Championships 2023-24 in the month of October 2023?

In which of the following countries is the policy of dual citizenship accepted?

What is the name of the Prime Minister’s new rooftop solar power scheme launched by Shri Narendra Modi on 15 February 2024?

Select the correct statement among the following regarding the Lok Adalats.

1. This is a symbol of the justice system that has been prevalent since ancient times.
2. This system is based on Gandhian principles.
3. After independence, the first Lok Adalat in India was established in Madhya Pradesh in the year 1982.
4. The decision given by the Lok Adalat is not binding on both the parties.

Who among the following had one of their capitals at Benaras?

Which of the following is associated with strain? 

According to the sustainable development approach, which of the following strategies is essential for rural development?

Match the (List-I cities) with (List-II temperature) characteristics: and chose your answer the code below.

Where was the joint military exercise MAITREE 2024 conducted between the Indian Army and the Royal Thailand Army?

Who among the following was NOT associated with ‘Servants of India Society'?

What is the product of the following reaction?

2NaOH (aq) + Zn (s) →

To which phylum do round worms belong?

Where did Prime Minister Narendra Modi inaugurate the opening ceremony of the Khelo India Youth Games 2023 in January 2024? 

Which of the following is against globalisation?

Which initiative of the Government of India aims to integrate various sub-schemes related to safety, security, and empowerment of women under an umbrella scheme for greater efficiency and effectiveness in India?

Which of the following Articles of the Indian Constitution guarantees protection against arrest and detention in certain cases?