- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9326834
- Series
- A
SSC MTS Paper 1
- Questions
- 90
- Maximum marks
- 270
- Minutes allowed
- 90
Instructions निर्देश
- This booklet has 90 questions in 4 parts: A. Numerical and Mathematical Ability (20), B. Reasoning Ability and Problem Solving (20), C. General Awareness (25), D. English Language and Comprehension (25).
- Each session has its own clock. When it runs out, that part closes and the next opens.
- Each question has 4 options and one right answer. A right answer earns 3 marks. Negative marking differs by part, as in the notice. A question left blank scores nothing.
- Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.
Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.
Part ANumerical and Mathematical Ability
-
An angle is 90° more than its supplement. What is the angle?
Answer and working
Answer B
a + (a − 90) = 180, so 2a = 270 and a = 135°.
-
What is 16% of 400?
Answer and working
Answer D
16% of 400 = 400 × 16/100 = 64.
-
Pipe A fills a tank in 2 hours; pipe B empties the full tank in 3 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer C
Net filling per hour = 1/2 − 1/3 = 1/6. Time = 6 hours.
-
What is the simple interest on ₹6,000 at 11% per annum for 2 years?
Answer and working
Answer D
SI = P × R × T / 100 = 6,000 × 11 × 2 / 100 = ₹1,320.
-
Two trains 170 m and 130 m long run on parallel tracks in opposite directions at 30 km/h and 42 km/h. How long do they take to cross each other?
Answer and working
Answer C
Relative speed = 30 + 42 = 72 km/h = 20 m/s. Distance = 170 + 130 = 300 m. Time = 300 ÷ 20 = 15 seconds.
-
What is the mean of these numbers: 22, 29, 16, 33, 19, 29, 48, 56, 45?
Answer and working
Answer A
Sum 297 ÷ 9 = 33.
-
The present ages of Asha and her elder brother are in the ratio 6 : 7. After 6 years, the ratio will be 9 : 10. What is Asha’s present age?
Answer and working
Answer D
Ages 6x and 7x. (6x + 6) : (7x + 6) = 9 : 10 gives x = 2. Asha is 6 × 2 = 12 years.
-
A cylinder has radius 14 cm and height 7 cm. What is its curved surface area? (π = 22/7)
Answer and working
Answer C
Curved surface = 2πrh = 2 × 22/7 × 14 × 7 = 616 cm².
-
40 litres of a mixture contains milk and water in the ratio 7 : 3. How much water must be added to make the ratio 1 : 3?
Answer and working
Answer C
Milk = 28 l, water = 12 l. For 1 : 3, water must be 28 × 3/1 = 84 l. Add 84 − 12 = 72 litres.
-
From a point on the ground 75 m from the foot of a tower, the angle of elevation of its top is 60°. How tall is the tower?
Answer and working
Answer C
Height = 75 × tan 60° = 75 × √3 = 75√3 m.
-
How many numbers from 350 to 600 (both included) are divisible by 17?
Answer and working
Answer A
Multiples of 17 up to 600: 35. Up to 349: 20. Difference = 15.
-
A boat covers 38 km downstream in 2 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer C
Downstream speed = 38 ÷ 2 = 19 km/h; upstream = 85 ÷ 5 = 17 km/h. Boat = (19 + 17) ÷ 2 = 18 km/h.
-
What is the compound interest on ₹13,750 for 2 years at 12% per annum, compounded annually?
Answer and working
Answer C
Amount = 13,750 × (1 + 12/100)2 = ₹17,248. CI = 17,248 − 13,750 = ₹3,498.
-
If a + b = 9 and ab = 20, what is a² + b²?
Answer and working
Answer B
a² + b² = (a + b)² − 2ab = 81 − 40 = 41.
-
A and B together can do a job in 20 days. A alone can do it in 28 days. In how many days can B alone do it?
Answer and working
Answer B
B’s one day = 1/20 − 1/28 = 1/70. B alone takes 70 days.
-
The incomes of P and Q are in the ratio 7 : 3 and their expenditures are in the ratio 3 : 1. If each saves ₹10,500 a month, what is P’s monthly income?
Answer and working
Answer B
Incomes 7x and 3x. (7x − 10,500) : (3x − 10,500) = 3 : 1 gives x = 10,500. P’s income = 7 × 10,500 = ₹73,500.
-
The diagonal of a square is 18 cm. What is its area?
Answer and working
Answer B
Area of a square = diagonal² ÷ 2 = 324 ÷ 2 = 162 cm².
-
Two successive discounts of 40% and 25% are equal to a single discount of:
Answer and working
Answer B
Single discount = 40 + 25 − (40 × 25)/100 = 55%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Simplify: 79 + 15 × 9 − 48 ÷ 8
Answer and working
Answer B
Division and multiplication first: 15 × 9 = 135 and 48 ÷ 8 = 6. Then 79 + 135 − 6 = 208.
-
The average weight of 8 people goes up by 2 kg when a new person takes the place of one who weighs 64 kg. What does the new person weigh?
Answer and working
Answer D
The total rises by 8 × 2 = 16 kg, so the new person weighs 64 + 16 = 80 kg.
Part BReasoning Ability and Problem Solving
-
At what time between 9 and 10 o’clock are the hands of a clock together?
Answer and working
Answer B
The minute hand gains 11/2° a minute and must gain 270°. Time = 270 ÷ 5.5 = 60 × 9/11 = 491⁄11 minutes past 9.
-
DF : FH :: LN : ?
Answer and working
Answer B
Each letter of DF moves 2 forward to give FH. Doing the same to LN gives NP.
-
In a certain code, PENCIL is written as NKEPGR. How is FRIEND written in that code?
Answer and working
Answer D
From PENCIL → NKEPGR: the word is written backwards and each letter moves 2 forward. Applied to FRIEND: FPGKTH.
-
In a row of 34 students, Farhan is 29th from the left. What is Farhan’s position from the right?
Answer and working
Answer A
Position from the right = total − position from the left + 1 = 34 − 29 + 1 = 6th.
-
In a certain code, RIBBON is written as QHAANM. How is COAT written in that code?
Answer and working
Answer B
From RIBBON → QHAANM: each letter moves 1 place back. Applied to COAT: BNZS.
-
Farah walks 9 km towards the south. She turns left and walks 10 km. She turns left and walks 2 km. She turns right and walks 8 km. Which direction is she facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
Which number replaces the question mark? 6, 7, 11, 20, 36, 61, ?
Answer and working
Answer C
The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 97.
-
T is the daughter of D. D is the brother of J. How is T related to J?
Answer and working
Answer D
Follow the links out from J: D is J’s brother; T is D’s daughter. So T is J’s niece.
-
Today is Saturday. What day of the week will it be 124 days from today?
Answer and working
Answer B
124 ÷ 7 leaves 5. 5 days on from Saturday is Thursday.
-
Statements:
(1) Some flowers are bells.
(2) Some birds are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No birds are bells.
(II) No flowers are bells.Answer and working
Answer D
Conclusion I need not hold: birds and bells may overlap. Conclusion II need not hold: flowers and bells may overlap. So: Neither conclusion follows.
Directions for questions 31 to 31
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Divya sits second to the left of Farhan. Divya sits third to the left of Chetan. Esha sits third to the right of Bina. Exactly 2 people sit between Gopal and Bina.-
How many people sit between Arun and Bina?
Answer and working
Answer B
Only one order fits every clue, from the left: Gopal, Arun, Divya, Bina, Farhan, Chetan, Esha. Between them: 1.
-
Which number replaces the question mark? 23, 29, 31, 37, 41, 43, ?
Answer and working
Answer A
The rule: consecutive prime numbers. The missing term is 47.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 58 + 9 − 3 ÷ 18 × 6?
Answer and working
Answer C
Replace the signs: 58 − 9 + 3 × 18 ÷ 6. Division and multiplication first, then addition and subtraction: 58.
-
9 : 82 :: 5 : ?
Answer and working
Answer A
82 = 9² + 1, the rule n² + 1. For 5: 5² + 1 = 26.
-
N is the mother of A. A is the mother of J. How is N related to J?
Answer and working
Answer D
Follow the links out from J: A is J’s mother; N is A’s mother. So N is J’s grandmother.
-
In the English alphabet, which letter is 3rd to the right of the 17th letter from the right?
Answer and working
Answer B
The 17th letter from the right is J (position 10). 3 places to the right: position 13, which is M.
-
Which letter comes next? A, D, G, J, M, ?
Answer and working
Answer B
Each letter moves 3 places forward in the alphabet: A → D → G → J → M → P.
-
Priya walks 12 km towards the east. She turns left and walks 5 km. She turns left and walks 6 km. She turns right and walks 11 km. Which direction is she facing now?
Answer and working
Answer B
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs North.
-
Which one does not belong with the others?
Answer and working
Answer B
31, 17, 89 are prime; 63 = 3 × 21. The odd one is 63.
-
Which one does not belong with the others?
Answer and working
Answer A
512, 8, 343 are cubes; 196 is a square, not a cube. The odd one is 196.
Part CGeneral Awareness
-
International Nurses Day is observed on which date?
Answer and working
-
In which year was Sarvepalli Radhakrishnan awarded the Bharat Ratna?
Answer and working
-
Khangchendzonga National Park, a UNESCO World Heritage Site, is in which state?
Answer and working
-
Who wrote ‘Satyarth Prakash’?
Answer and working
-
Consider the following pairs of wetlands and their states:
How many of the pairs given above are correctly matched?Ramsar site State 1. Bhojtal Madhya Pradesh 2. Chari-Dhand Wetland Conservation Reserve Gujarat 3. Ashtamudi Lake Kerala Answer and working
-
What is the capital of Serbia?
Answer and working
-
What is the currency of Democratic Republic of the Congo?
Answer and working
-
Which of these dams is on the Mahanadi?
Answer and working
-
What is the capital of Manipur?
Answer and working
-
In which year was Khajuraho Group of Monuments inscribed as a UNESCO World Heritage Site?
Answer and working
-
Which of these national parks is in Ladakh?
Answer and working
-
Who was the first Chief Justice of India?
Answer and working
-
Where is the headquarters of the Interpol?
Answer and working
-
Biligiri Rangaswamy Temple Wildlife Sanctuary is in which state?
Answer and working
-
Which of these rivers flows into the Vembanad?
Answer and working
-
Ali Sardar Jafri received the Jnanpith Award in which year?
Answer and working
-
In which year was the Battle of Imphal fought?
Answer and working
-
Who was the first Vice President of India?
Answer and working
-
Consider the following pairs of musicians and their instruments:
How many of the pairs given above are correctly matched?Musician Instrument 1. Lalgudi Jayaraman violin 2. Ravi Shankar sarod 3. Shivkumar Sharma surbahar Answer and working
Answer A
1. correct; 2. wrong: Ravi Shankar goes with sitar; 3. wrong: Shivkumar Sharma goes with santur. So: Only one pair.
Source: Wikidata (CC0)
-
Which of these sportspersons is associated with hockey?
Answer and working
-
In which year was SCATSAT-1 launched?
Answer and working
-
In which year was Telangana formed as a state or union territory in its present form?
Answer and working
-
Who wrote ‘Parineeta’?
Answer and working
-
Which element has the symbol H?
Answer and working
-
Manoj Kumar received the Dadasaheb Phalke Award for which year?
Answer and working
Part DEnglish Language and Comprehension
-
Select the incorrectly spelt word.
Answer and working
Answer A
memmorable is wrong; it is spelt memorable. The others are correct.
-
Select the word closest in meaning to the given word.
OveractiveAnswer and working
Answer B
Overactive (adjective) and Hyperactive share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
MaliceAnswer and working
Answer A
Malice (noun) and Spite share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is globally.
-
Select the word closest in meaning to the given word.
AffiliateAnswer and working
Answer A
Affiliate (verb) and Associate share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
UnilateralAnswer and working
-
Select the incorrectly spelt word.
Answer and working
Answer A
communnication is wrong; it is spelt communication. The others are correct.
-
Select the one word that can replace the given group of words.
Someone who is the first to think of or make somethingAnswer and working
-
Select the word closest in meaning to the given word.
HelplessnessAnswer and working
Answer B
Helplessness (noun) and Weakness share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the one word that can replace the given group of words.
A craftsman who stuffs and mounts the skins of animals for displayAnswer and working
Answer A
Taxidermist: a craftsman who stuffs and mounts the skins of animals for display.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
MateyAnswer and working
Answer B
Matey (adjective) and Chummy share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ChattyAnswer and working
Answer D
Chatty (adjective) and Gabby share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
OffshoreAnswer and working
-
Select the word opposite in meaning to the given word.
PessimistAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is vaudeville.
-
Select the word opposite in meaning to the given word.
ZenithAnswer and working
-
Select the word opposite in meaning to the given word.
SoftenAnswer and working
-
Select the word closest in meaning to the given word.
DesistAnswer and working
Answer C
Desist (verb) and Refrain share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is planetary.
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is remarry.
-
Select the word closest in meaning to the given word.
DankAnswer and working
Answer D
Dank (adjective) and Clammy share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the one word that can replace the given group of words.
A merchant who sells men's clothingAnswer and working
-
Select the one word that can replace the given group of words.
One whose business is the management of funeralsAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is lingerie.
-
Select the one word that can replace the given group of words.
A person regarded as arrogant and annoyingAnswer and working