If $$\left(\frac{P}{2}\right) = \left(\frac{Q}{5}\right) = \left(\frac{R}{6}\right)$$, then what is the value of $$P^2 : (P + Q)^2 : (Q + R)^2$$
SSC MTS 2023 Question Paper Shift 1 (June 19th)
For the following questions answer them individually
Two boats are travelling at the speed of 36 km/hr and 54 km/hr respectively towards each other. What will be the distance between the two boats one second before they collide?
The average of the set of scores 512, 528, 556, 584 and 615 is:
A certain sum of money becomes triple of itself in 8 years at simple interest. In how many years it will becomes five times of itself?
Three partners P, Q and R share profit such that 4 times of the P's share is equal to 5 times of the Q's share and equal to 8 times of the R's share. What is the ratio of the profits of P, Q and R respectively?
Shreyas can complete 4/5 part of a work in 16 days. Ruchi is 2.5 times as efficient as Shreyas. In how many days will Ruchi alone complete the same work?
The table given below shows the marked price and selling price of 6 articles.
Discount Percentage = [(Marked price - Selling price)/Marked price] $$\times$$ 100
Which of the following sequence is correct of discount percentage?
The length, breadth and height of a cuboid are 4 cm, 6 cm and 10 cm respectively. Find the total surface area.
What will be the area of a rectangular field of length 45 cm and breadth 32 cm?
Cost price of an article is Rs. 2650. If the loss percentage is 16 percent, then what is the selling price of the article?
The average of marks obtained by S1 and S2 is 30 more than the average marks obtained by S2 and S3. If the marks obtained by S3 is 50, then what are the marks obtained by S1?
40 men can construct a building in 100 days. How long will it take 80 men to do this work?
The Least Common multiple of three different numbers is 40. Which of the following cannot be their Highest Common Factor?
A trader buys two articles for Rs. 4000 each article. If he earns a profit of 10 percent on one and losses 30 percent on the other, then what will be his overall loss percentage?
An item is sold at two successive discounts of 20 percent and 20 percent. The selling price of article after second discount is Rs. 3616. If it is sold only at one discount of 20 percent, then what be the selling price of the article?
A = Rs 6000 is invested at simple interest for 5 years and annual rate of interest is 15 percent. B = Rs. 5000 is invested at simple interest for 2 years and annual rate of interest is 20 percent. What is the ratio of interests earned in A and B respectively?
What is the value of $$\frac{43 \times 2 - 21 \ of \ 4}{28 - 7 \ of \ 5 + 9}$$?
The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 schools is 10000. Number of boys in a particular school is shown as a percent of total number of boys in all these 8 schools.
What is the ratio of central angle formed by sector C, D and F together to the central angle formed by sector A, G and H together?
A is 5 times B. B is how much percentage less than A?
What is the value of $$\frac{1}{7} \times \frac{1}{8} \div \frac{72}{51} \ of \ \left(\frac{1}{9} + \frac{1}{8}\right) + \left(\frac{63}{56} \times \frac{48}{72}\right)$$?
Which of the following letter cluster will replace the question mark(?) in the given series?
PB, RZ, TX, VV, ?
Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All trees are flowers.
All flowers are petals.
Some petals are leaves.
Conclusions:
I. All trees are petals.
II. Some petals are flowers.
Select the option that is related to the third word in the same way as the second word is related to the first word.
Resistance : Ohm :: Energy : ?
Select the option that is related to the third word in the same way as the second word is related to the first word.
Canada : Ottawa :: Italy : ?
In a certain code language, 'HOME' is written as 'MOHE'. How will 'CALM' be written in that language?
In a certain code language, 'BONUS' is written as '215142119'. How will 'FANCY' be written in that language?
Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All notebooks are pencils.
Some pens are notebooks.
Conclusions:
I. All pens are pencils.
II. Some pencils are pens.
Select the option in which the numbers shares the same relationship in set as that shared by the numbers in the given set. (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)
(2, 3, 5)
(5, 7, 11)
Which of the following numbers will replace the question mark (?) in the given series?
3, 7, 15, 31, 63, 127, 255, ?
Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern.(rotation is not allowed)
Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).
By Interchanging the given two numbers which of the following equation will be correct?
8 and 4
In a certain code language. 'BHAKTI" is coded as 'GSIZFA'. What is the code for 'BIKCER' in that code language?
Select the option that is related to the third number in the same way as the second number is related to the first number.
64 : 512 :: 81 : ?
Seven players Virat, Rahul, Rohit, Surya, Hardik, Rishabh and Deepak are sitting around a circular table facing towards the centre (not necessarily in the same order). Rohit is second to the left of Virat. Virat is fourth to the right of Deepak. Hardik is to immediate left of Deepak. Surya is not the immediate neighbour of Rohit. Rishabh is second to the right of Hardik. Who is fourth to the right of Hardik?
Which two numbers should be interchanged to make the given equation correct?
$$7 - 5 + 4 \times 2 = 25$$
Seven friends H, J, K, L, M, N, and O are sitting around a circular table facing the centre. His sitting to the immediate right of L. N is sitting exactly between J and K. M sits to the immediate left of O. N sits second to the left of M. Who sits to the immediate right of O?
Select the correct mirror image of the given figure when the mirror MN is placed to the right side of the figure.
Which of the following numbers will replace the question mark (?) in the given series?
72, 78, 89, 95, 106, 112, 123, ?
Amongst seven girls I, II, III, IV, V, VI and VII, each has a different age. VI is elder than only III. II is younger than only VII. IV is older than four other girls. I is younger than V. Who is the fourth eldest among the girls?
The terms Kumi-Kata, Shintai, Ukemi are associated with which sports?
The Muslim Women (Protection of Rights on Marriage) Act, 2019 declares the instant divorce granted by pronouncement of talaq three times as void and illegal. It provides for imprisonment for a term up to ________ and fine to the husband who practiced instant Triple Talaq.
Which of the following is celebrated as birth anniversary of Gautama Buddha?
'Romancing with Life' is an autobiography of the evergreen star _____________
Minal wrote an essay on the largest moon of Saturn. Which among the following moons is it?
FIFA World Cup is associated with ________ sport.
Which of the following is NOT an example of Mass Media?
The last Mughal Emperor who was sent to Jail in Rangoon was _____________
Which of the following vitamins helps our body to use calcium for bones and teeth?
Which among the following dance forms of India is associated with Odisha?
Which layer of the soil has maximum concentration of humus?
Which among the following is a tributary of river Narmada?
Which part of the Indian constitution talks about the Union Territories?
Which among the following memoir is based on ex-Prime Minister Dr Manmohan Singh?
Which famous ruler was known as the "Second Ashoka"?
The Union Minister of Petroleum and Natural Gas, Hardeep Singh Puri, in October 2022 inaugurated Asia's largest Compressed Bio Gas (CBG) plant in _________
All human beings have ______________ pairs of chromosomes in the nuclei of their cells.
Islamic style of architecture is also known as ______________ style.
Which among the following is a noble chemical element of science periodic table?
Which of the following tribe belongs to Indo-European Linguistic family?
When was the Battle of Talikota fought?
How many types of revenue receipts exist in the economy?
According to the 2011 census, the sex ratio for India's population is __________
Who administers the Union Territories of India?
Mahatma Gandhi called off the Non-cooperation Movement in February 1922 after which incident?
Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
These include the nature/ documentaries, including/ The Blue Planet and Planet Earth.
Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
A long hoped-for revival in private investment has not take place.
Select the most appropriate option to fill in the blank.
Still, this is a Frank Black album, with its ________ references and abstruse lyrics.
Fill in the blank with the most appropriate option.
Be present ______________ the moment.
Select the most appropriate antonym of the given word.
Complicate
Select the most appropriate meaning of the given idiom.
Hit the hay
Select the most appropriate word for the given group of words.
A group of ants
Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
In the summer, the bear eaten a lot of berries.
Choose the sentence with no spelling error.
Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
There is not one/ that have not/ been duplicated.
Select the appropriate synonym for the underlined word.
She couldn't really be irritated with him.
Select the most appropriate meaning of the bracketed idiom in the given sentence.
He bought (a baker's dozen) of biscuits.
Select the most appropriate option to fill in the blank.
The event, promised to be a grand show, will see a display of grit, ________ and mettle.
Select the appropriate antonym for the underlined Word.
Our children need vital lessons in wealth management.
Select the appropriate synonym for the underlined word.
The symbols were useless to him.
Select the correctly spelt word.
Choose the word that can substitute the given group of words.
A person, who travels in spacecraft
Fill in the blank with the most appropriate choice.
His students from his time at Manchester University remember his lectures as extraordinarily ____________.
Select the most appropriate option to substitute the bracketed segment in the given sentence. If there is no need to substitute it, select 'no substitution required'.
(Hardly had I started mowing the lawn that) it started raining.
Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
If you want to have two cats, a male and a female will usually gotten along.
In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Each went his way, the prince to ( 1 ) _______ the ways of the court, the brahmin to (2) ______ with Parasuram, the renowned scholar-warrior. He mastered (3) _______ , married a virtuous woman, and (4) ________ a beautiful son. (5) _________ poor, he was proud of his learning.
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.
