- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 4407730
- Series
- C
SSC MTS Paper 2
- 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 52° more than its complement. What is the angle?
Answer and working
Answer A
a + (a − 52) = 90, so 2a = 142 and a = 71°.
-
What is the circumference of a circle of radius 21 cm? (Take π = 22/7.)
Answer and working
Answer D
Circumference = 2πr = 2 × 22/7 × 21 = 132 cm.
-
What is the value of 52² − 26²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 78 × 26 = 2,028.
-
What is the range of these numbers: 51, 40, 46, 24, 45, 16, 55, 44, 51?
Answer and working
Answer B
Largest − smallest = 55 − 16 = 39.
-
What is the average of the first 38 even numbers?
Answer and working
Answer D
The first 38 even numbers add up to 38 × 39 = 1482; the average is 39.
-
A train 300 m long crosses a platform 210 m long in 34 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 300 + 210 = 510 m in 34 s, so 15 m/s = 15 × 18/5 = 54 km/h.
-
The present ages of Asha and her elder brother are in the ratio 2 : 3. After 7 years, the ratio will be 3 : 4. What is Asha’s present age?
Answer and working
Answer A
Ages 2x and 3x. (2x + 7) : (3x + 7) = 3 : 4 gives x = 7. Asha is 2 × 7 = 14 years.
-
If A : B = 1 : 3 and B : C = 7 : 5, what is A : B : C?
Answer and working
Answer A
Make B the same in both: A : B = 7 : 21 and B : C = 21 : 15. So A : B : C = 7 : 21 : 15.
-
If cos θ = 15⁄17 and θ is acute, what is tan θ?
Answer and working
Answer C
Draw a right triangle with sides 8, 15 and hypotenuse 17 (8² + 15² = 17²). Then tan θ = 8⁄15.
-
If x + 1⁄x = 8, what is x³ + 1⁄x³?
Answer and working
Answer D
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 512 − 24 = 488.
-
A is twice as efficient as B. Together they finish a job in 22 days. How long would A take alone?
Answer and working
Answer D
If B does 1 unit a day, A does 2; together 3 units a day for 22 days = 66 units. A alone: 66 ÷ 2 = 33 days.
-
The price of a cooler goes from ₹880 to ₹1,012. What is the percentage increase?
Answer and working
Answer D
Change = ₹132. On the original value: 132 ÷ 880 × 100 = 15%, a 15% increase. Dividing by the new value, 1,012, is the usual slip.
-
In what ratio must rice at ₹44/kg be mixed with rice at ₹61/kg so that the mixture is worth ₹52/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (61 − 52) : (52 − 44) = 9 : 8 = 9 : 8.
-
A boat covers 36 km downstream in 4 hours and 42 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 36 ÷ 4 = 9 km/h; upstream = 42 ÷ 6 = 7 km/h. Boat = (9 + 7) ÷ 2 = 8 km/h.
-
A sum of money becomes three times itself in 20 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer D
The interest earned is 2 times the principal in 20 years. Rate = 2 × 100 / 20 = 10%.
-
Pipe A fills a tank in 11 hours; pipe B empties the full tank in 22 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer A
Net filling per hour = 1/11 − 1/22 = 1/22. Time = 22 hours.
-
If x + 1⁄x = 9, what is x³ + 1⁄x³?
Answer and working
Answer A
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 729 − 27 = 702.
-
What is the difference between the compound interest and the simple interest on ₹48,400 for 2 years at 5% per annum?
Answer and working
Answer A
For 2 years, CI − SI = P × (R/100)² = 48,400 × (5/100)² = ₹121.
-
A trader buys a bicycle for ₹1,400 and sells it for ₹1,568. What is the profit or loss percent?
Answer and working
Answer C
Profit = ₹168. As a percent of the cost price: 168 ÷ 1,400 × 100 = 12% profit.
-
What is the largest 5-digit number exactly divisible by 55?
Answer and working
Answer B
99,999 ÷ 55 leaves remainder 9. 99,999 − 9 = 99,990.
Part BReasoning Ability and Problem Solving
-
Statements:
(1) All papers are buses.
(2) All stones are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some stones are not buses.
(II) Some buses are not stones.Answer and working
Answer D
Conclusion I need not hold: every one of the stones may be buses. Conclusion II need not hold: every one of the buses may be stones. So: Neither conclusion follows.
-
7 : 49 :: 9 : ?
Answer and working
Answer C
49 = 7², the rule n². For 9: 9² = 81.
-
D is the daughter of T. T is the brother of W. How is D related to W?
Answer and working
Answer A
Follow the links out from W: T is W’s brother; D is T’s daughter. So D is W’s niece.
-
8 : 512 :: 7 : ?
Answer and working
Answer A
512 = 8³, the rule n³. For 7: 7³ = 343.
-
Rekha walks 15 km towards the north. She turns left and walks 3 km. She turns left and walks 15 km. She turns right and walks 6 km. She turns left and walks 12 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 9 km west and 12 km south of the start. Distance = √(9² + 12²) = 15 km. 15 km, south-west.
-
In the English alphabet, which letter is 7th to the right of the 15th letter from the left?
Answer and working
Answer C
The 15th letter from the left is O (position 15). 7 places to the right: position 22, which is V.
-
1 January 2014 was a Wednesday. What day of the week was 1 January 2015?
Answer and working
Answer B
2014 has 365 days: 1 odd day. Wednesday + 1 = Thursday.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 26 × 11 − 6 + 6 ÷ 10?
Answer and working
Answer B
Replace the signs: 26 + 11 × 6 ÷ 6 − 10. Division and multiplication first, then addition and subtraction: 27.
-
Which pair comes next? CZ, EW, GT, IQ, ?
Answer and working
Answer A
The first letters move forward 2 (C, E, G, I); the second move back 3 (Z, W, T, Q). Next: KN.
-
Pooja walks 11 km towards the south. She turns right and walks 13 km. She turns right and walks 10 km. She turns right and walks 8 km. She turns right and walks 5 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 South.
-
In a certain code, SCHOOL is written as KNNGBR. How is PILLOW written in that code?
Answer and working
Answer A
From SCHOOL → KNNGBR: the word is written backwards and each letter moves 1 back. Applied to PILLOW: VNKKHO.
-
Which number replaces the question mark? 3, 8, 15, 24, 35, 48, ?
Answer and working
Answer D
The rule: the terms are 2², 3², 4² … minus 1. The missing term is 63.
-
Which pair comes next? GU, JS, MQ, PO, ?
Answer and working
Answer B
The first letters move forward 3 (G, J, M, P); the second move back 2 (U, S, Q, O). Next: SM.
Directions for questions 34 to 34
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun and Esha sit next to each other. Exactly 3 people sit between Bina and Divya. Chetan sits third to the right of Arun. Farhan sits immediately to the right of Bina.-
What is Farhan’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Bina, Farhan, Arun, Esha, Divya, Chetan. 2nd.
-
Which one does not belong with the others?
Answer and working
Answer B
73, 13, 47 are prime; 21 = 3 × 7. The odd one is 21.
-
Which one does not belong with the others?
Answer and working
Answer A
27, 512, 1000 are cubes; 100 is a square, not a cube. The odd one is 100.
-
In a queue, Meena is 9th from the front and Priya is 19th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 9 and 19 there are 19 − 9 − 1 = 9 people.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 59 × 6 ÷ 7 − 6 + 3?
Answer and working
Answer A
Replace the signs: 59 + 6 − 7 × 6 ÷ 3. Division and multiplication first, then addition and subtraction: 51.
-
What is the angle between the hour and minute hands of a clock at 10:55?
Answer and working
Answer C
Angle = |30H − 5.5M| = |300 − 302.5| = 2.5°. Answer: 2.5°. The hour hand moves too, half a degree a minute, which is why it is not 30°.
-
In a certain code, PLANT is written as KOZMG. How is EAGLE written in that code?
Answer and working
Answer B
From PLANT → KOZMG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to EAGLE: VZTOV.
Part CGeneral Awareness
-
Who was the Chief Justice of India throughout 1965?
Answer and working
-
Gulzar received the Dadasaheb Phalke Award for which year?
Answer and working
-
Which of these was written by Syed Abul Ala Maududi?
Answer and working
-
Who was the first Chief Justice of India?
Answer and working
-
What is the capital of Cape Verde?
Answer and working
-
Which of these musicians is known for the sarangi?
Answer and working
-
The Sri Lankan rupee is the currency of which country?
Answer and working
-
Bhubaneswar is the capital of which state or union territory?
Answer and working
-
What is the atomic number of helium?
Answer and working
-
Manu Bhaker is associated with which sport?
Answer and working
-
Mahadevi Varma received the Jnanpith Award in which year?
Answer and working
-
In which year was Abdul Ghaffar Khan awarded the Bharat Ratna?
Answer and working
-
Which of these dams is on the Bhavani River?
Answer and working
-
In which year was the Battle of Wandiwash fought?
Answer and working
-
Which of these organisations has its headquarters in Beijing?
Answer and working
-
In which year was RISAT-2 launched?
Answer and working
-
In which year was Mizoram formed as a state or union territory in its present form?
Answer and working
-
Biligiri Rangaswamy Temple Wildlife Sanctuary is in which state?
Answer and working
-
World Telecommunication and Information Society Day is observed on which date?
Answer and working
-
Qutb Minar, a UNESCO World Heritage Site, is in which state?
Answer and working
-
In which year was Rani ki vav inscribed as a UNESCO World Heritage Site?
Answer and working
-
Khirganga National Park is in which state?
Answer and working
-
Which of these rivers flows into the Godavari?
Answer and working
-
In which year was the Battle of Aliwal fought?
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. Renuka Lake Himachal Pradesh 2. Great Rann of Kutch Maharashtra 3. Point Calimere Wildlife and Bird Sanctuary Kerala Answer and working
Answer A
1. correct; 2. wrong: Great Rann of Kutch goes with Gujarat; 3. wrong: Point Calimere Wildlife and Bird Sanctuary goes with Tamil Nadu. So: Only one pair.
Source: Wikidata (CC0)
Part DEnglish Language and Comprehension
-
Select the word opposite in meaning to the given word.
TallAnswer and working
-
Select the one word that can replace the given group of words.
Nobleman ranking above a countAnswer and working
-
Select the word closest in meaning to the given word.
ConjectureAnswer and working
Answer D
Conjecture (noun) and Speculation share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
DownstreamAnswer and working
-
Select the word closest in meaning to the given word.
UncertainAnswer and working
Answer A
Uncertain (adjective) and Unsure share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
DecryptAnswer and working
Answer A
Decrypt (verb) and Decipher share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ImpasseAnswer and working
Answer D
Impasse (noun) and Standstill share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is theoretically.
-
Select the word closest in meaning to the given word.
ReassessAnswer and working
Answer C
Reassess (verb) and Reevaluate share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ReapAnswer and working
Answer A
Reap (verb) and Harvest share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer A
businassman is wrong; it is spelt businessman. The others are correct.
-
Select the word opposite in meaning to the given word.
ForbidAnswer and working
Answer D
The opposite of forbid is Permit. Interdict is the trap: it means the same, not the opposite.
Source: WordNet 3.1
-
Select the one word that can replace the given group of words.
A composer of words or music for popular songsAnswer and working
-
Select the incorrectly spelt word.
Answer and working
Answer C
unnacceptable is wrong; it is spelt unacceptable. The others are correct.
-
Select the word opposite in meaning to the given word.
AdvanceAnswer and working
-
Select the word closest in meaning to the given word.
FanaticalAnswer and working
Answer D
Fanatical (adjective) and Rabid 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.
Someone who saves something from danger or violenceAnswer and working
-
Select the word closest in meaning to the given word.
StoopAnswer and working
Answer A
Stoop (verb) and Crouch share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer B
croissint is wrong; it is spelt croissant. The others are correct.
-
Select the one word that can replace the given group of words.
The party who appeals a decision of a lower courtAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is grievance.
-
Select the word opposite in meaning to the given word.
StingyAnswer and working
-
Select the incorrectly spelt word.
Answer and working
Answer A
naturrally is wrong; it is spelt naturally. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is momentary.
-
Select the one word that can replace the given group of words.
An official who enlists personnel for military serviceAnswer and working