SSC MTS 2024 Official Paper (Held On: 17 Oct, 2024 Shift 3) (Previous Year Paper)

If two kinds of resins costing ₹160 per kg and ₹210 per kg are mixed in the ratio of 2 : 3, then find the cost (in ₹) of the mixture per kg.

The average weight of a group of 8 people is 70 kg. After a new person joins the group, the average weight becomes 72 kg. What is the weight (in kg) of the new person?

If two positive integers x and y are written as x = a2b3 and y = a3b and a and b are prime numbers, then HCF (x, y) is:

What sum (in ₹) will earn a simple interest of ₹360 in 2 years at 8% per year rate of interest?

A well with an internal diameter 10 m is dug to a depth of 10 m. Earth taken out of it is spread all around the well to a width of 12 m to form an embankment. What is the height (in m, rounded off to 2 decimal places) of the embankment?

Refer the following data table and answer the question.

If 750 calories are burnt by jogging 6 km, how many calories were burnt in the given week?

A person invested a certain sum of money at 6% per annum simple interest and another sum at 8% per annum simple interest at the same time. After 4 years, he received interest ₹1,560 from both sums. One-fifth of the first sum is equal to one-sixth of the second sum. Find the total sum invested.

A thief is noticed by a policeman from a distance of 150 m. The thief starts running, and the policeman chases him. The thief and the policeman run at the rate of 8 m/s and 10 m/s, respectively. Find the distance travelled by the thief before being caught.

A dealer marked the price of an item 30% above the cost price. He allowed two successive discounts of 15% and 20% to a particular customer. As a result, he incurred a loss of ₹696. At what price did he sell the item to the customer?

The average of 70 values is 40. If each value is multiplied by 20, what will be the changed average?

The side of a square exceeds the side of another square by 3 cm and the sum of the areas of the two squares is 225 cm². Find the sum of the perimeter (in cm) of both squares.

The selling price of an almirah is \(33\frac{1}{3}\)% of its cost price. Find the loss percentage.

A length of a violin string varies inversely with respect to the frequency of its vibrations. The frequency of a 14-inch-long violin string is 450 cycles per second. Find the frequency of a 12-inch violin string.

Find the simple interest (in ₹) on ₹3000 as a sum borrowed at 7% per year rate of interest for 3 years.

Study the following graph carefully and answer the question given below it.

In which of the following years was the percentage increase in production from the previous year the ma×imum among the given years?

Raima saves 14% from her income of ₹35,000. How much is her expenditure (in ₹)?

A thief is noticed by a policeman from a distance of 450m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of \(10\frac{1}{2}\) km/h and \(12\frac{1}{2}\) km/h, respectively. What will be the distance between them after 3 minutes?

A shopkeeper marks his goods k% more than their cost price. If the shopkeeper allows a 20% discount and still gains 25%, then find the value of k.

Amitabh has scored an average of 72 runs in his six interschool matches. In the next match, he scored 96 runs. What is his revised average score?

If the radius of the base of a right circular cylinder is reduced to one-third, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original?

A, B, C, D, E, F and G are sitting around a circular table facing the centre (but not necessarily in the same order). F is sitting third to the left of A. A is sitting second to the left of G. G is sitting to the immediate right of E. B is sitting to the immediate left of D. What is the position of F with respect to E?

Select the figure from among the given that will come in place of the question mark (?) and logically complete the series.

 In a certain code language, ‘LIKE’ is coded as ‘4682’ and ‘BEAM’ is coded as ‘1358’.What is the code for ‘E’ in the given code language?

Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).

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

PKQ, OJP, NIO, MHN, ?

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

45 × 3 + 9 − 18 ÷ 1 = ?

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 doors are locks.

Some locks are handles,

Conclusions:

(I) All handles are locks.

(II) No door is a handle.

LQ87 is related to VA55 in a certain way. In the same way, QV59 is related to AF27. To which of the following is BG49 related, following the same logic?

In a code language, ‘I want food’ is written as ' sickota dongre dujubu’, ‘I want drink’ is written as ‘bluto sickota dujubu', ‘food and drink’ is written as ‘dongre peppin bluto’, then what is the code for the word 'peppin' in this language?

T, N, S, P, R and M are sitting around a circular table facing the centre (but not necessarily in the same order). S is sitting second to the left of T. Only two people are sitting between S and R. M is not the immediate neighbour of S. P is sitting second to the right of R.

How many people are sitting between N and M, when counted from the right of N?

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 its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

11, 66

26, 156

Which two signs should be interchanged to make the given equation correct?

11 × 7 – 48 + 6 ÷ 37 = 106

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

KB 9 is related to ED 2 in a certain way. In the same way, XF 11 is related to RH 4. To which of the following is UH 8 related, following the same logic?

In a certain code language, 'TREE' is coded as 'POCD' and 'FOOT' is coded as 'BLMS'. How will 'MIND' be coded in the same language?

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

In a certain code language, 'apple pen card' is coded as '136', 'doctor no apple' is coded as '243' and 'card is blocked' is coded as '695'. How is 'apple' coded in the given code language?

326 is related to 335 following a certain logic. Following the same logic, 419 is related to 428. To which of the following is 566 related, following the same logic?

(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

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 statement(s).

Statements:

All cabbages are roses.

All cabbages are tulips.

Conclusions:

(I) At least some tulips are roses.

(II) All roses are cabbages.

What should come in place of the question mark (?) in the following series?

255, 248, 241, 234, 227, ?

Which of the following is the correct statement about the Rajya Sabha?

Rabindranath Tagore referred to __________ as Nritya Samragini, which translates to 'the empress of dance'.

The term 'Aus', 'Aman' and 'Boro' are associated with which crop in India?

How many chances does a high jumper get for overcoming a certain height?

The Iron Age site named Tekwada is located in _________.

Which Census decade recorded the highest population growth rate (in terms of percentage) in India?

Who among the following founded the Asiatic Society of Bengal?

Which of the following Fundamental Rights entails trafficking of human beings and forced labour?

The weaker warm storms that grow stronger over time are finally converted into huge storms or hurricanes. Which of the following climate regions is the origin of such hurricanes?

The author of the Hindi novel 'Kohre Mein Kaid Rang' is:

In which of the following states is the Bissu Mela organised to thank Santoora Devi for the good harvest?

In June 2022, Eknath Sambhaji Shinde became the Chief Minister of which of the following states?

Who among the following founded the 'Satyashodhak Samaj' in 1873?

Which type of loan is supported by MUDRA?

What is the percentage of 's' character in the carbon atom of acetylene?

In Union Budget 2023, a sub-scheme of which of the following Yojanas has been proposed with the investment of ₹6,000 crore to enable activities of fishermen, fish vendors and micro and small enterprises?

India launched the 'National Social Assistance Programme' in:

Which of the following Mughal emperors issued silver coins in the honour of his wife Mehrunnisa?

To which of the following groups do whales belong?

Buddhadev Dasgupta was a famous instrumentalist of which of the following instrument?

Who among the following received the Padma Shri 2021 for Panthi folk dance?

Anorexia Nervosa is an eating disorder characterised by ________.

 a) an abnormally heavy body weight

 b) an intense fear of losing weight

 c) a distorted perception of weight

 d) trying to lose weight by exercising excessively

Which of the following is NOT a physiographic division of India?

Ujjwala was the mascot of which national sports event held in 2023?

In Harappan civilisation, cities were planned with the streets generally oriented along the ________ directions.

Select the most appropriate synonym of the underlined word in the given sentence.

Any declarations or practices of religious antipathy against ethnic minorities in a democratic country should not be tolerated.

Select the grammatically correct sentence.

Select the most appropriate option that can substitute the underlined segment in the given sentence.

Everyone disliked the new CEO, Kushal, but nobody is ready to put themselves in dangerous situation by telling him their feelings.

Select the most appropriate ANTONYM of the underlined word in the given sentence.

Even if an unlaced shoe is spotless, it is not neat.

Select the most appropriate option to fill in the blank.

He pressed the ________ just in time to avoid the accident.

Select the most appropriate ANTONYM of the underlined word.

Raju is lazy and smart, but he does not attend the classes.

Correct the underlined part of the sentence.

This mango is bitterer.

Select the INCORRECTLY spelt word.

Select the INCORRECTLY spelt word.

Select the most appropriate option that can substitute the underlined segment in the given sentence.

My brother asked me, "Can I exchange my phone from you?"

Select the INCORRECTLY spelt word.

Read the sentence given below and identify if there is an error in it. The error can be in any segment of the sentence which are marked A, B, C, and D. Select option D if there is 'No error'.

(A) She sings / (B) the song / (C) beautiful in the party / (D) No error.

Select the most appropriate idiom that can substitute the underlined segment in the given sentence.

Most women are facing the same problem when it comes to job satisfaction because of the pay parity in institutions.

Select the most appropriate option to fill in the blank.

The ancient Greeks and Romans used to worship natural _______ as Gods and Goddesses.

Select the grammatically correct sentence.

Select the most appropriate option to fill in the blank.

I am calling to thank you _______ the present you sent.

Select the option that expresses the given sentence in future perfect tense form.

I hope you wash all the clothes before you come into the house again.

Parts of the following sentence have been given as options. Select the option that contains an error.

Rose painted the most beautifulest picture ever at the art class today!

Select the option that can be used as a one-word substitute for the given group of words.

one who does something for pleasure

Select the most appropriate opposite to substitute the underlined word in the given sentence.

Rohit asked Nita what was the most intriguing book she has read recently.

Select the most appropriate option to fill in blank number 1.

Select the most appropriate option to fill in blank number 2.

 Select the most appropriate option to fill in blank number 3.

Select the most appropriate option to fill in blank number 4.

Select the most appropriate option to fill in blank number 5.