- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 2121200
- Series
- C
SSC MTS Paper 5
- 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
-
By selling a watch for ₹1,050, a man loses 25%. For how much should he sell it to gain 25%?
Answer and working
Answer A
CP = 1,050 × 100/75 = ₹1,400. For a 25% gain: 1,400 × 125/100 = ₹1,750.
-
What is the median of these numbers: 38, 28, 15, 51, 10, 29, 10, 14, 49?
Answer and working
Answer C
In order: 10, 10, 14, 15, 28, 29, 38, 49, 51. The middle value is 28.
-
What is the compound interest on ₹11,600 for 2 years at 15% per annum, compounded annually?
Answer and working
Answer D
Amount = 11,600 × (1 + 15/100)2 = ₹15,341. CI = 15,341 − 11,600 = ₹3,741.
-
The sum of the present ages of a father and his son is 67 years. 2 years ago, the father was 6 times as old as the son. How old is the son now?
Answer and working
Answer D
Let the son be s. Then (67 − s − 2) = 6(s − 2), so 77 = 7s and s = 11 years.
-
If x + 1⁄x = 5, what is x³ + 1⁄x³?
Answer and working
Answer A
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 125 − 15 = 110.
-
If a + b = 6 and ab = 8, what is a² + b²?
Answer and working
Answer D
a² + b² = (a + b)² − 2ab = 36 − 16 = 20.
-
A sum of money doubles itself in 16 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer C
The interest earned is 1 times the principal in 16 years. Rate = 1 × 100 / 16 = 6.25%.
-
A scooter runs at 18 km/h. What is its speed in metres per second?
Answer and working
Answer C
Multiply by 5/18: 18 × 5/18 = 5 m/s.
-
A boat covers 30 km downstream in 2 hours and 36 km upstream in 4 hours. What is the speed of the stream?
Answer and working
Answer B
Downstream speed = 30 ÷ 2 = 15 km/h; upstream = 36 ÷ 4 = 9 km/h. Stream = (15 − 9) ÷ 2 = 3 km/h.
-
A number is first increased by 25% and then decreased by 50%. What is the net change?
Answer and working
Answer D
Net effect = 25 − 50 − (25 × 50)/100 = −37.5%, so 37.5% decrease.
-
The incomes of P and Q are in the ratio 8 : 5 and their expenditures are in the ratio 13 : 8. If each saves ₹2,500 a month, what is P’s monthly income?
Answer and working
Answer B
Incomes 8x and 5x. (8x − 2,500) : (5x − 2,500) = 13 : 8 gives x = 12,500. P’s income = 8 × 12,500 = ₹1,00,000.
-
How many diagonals does a polygon with 9 sides have?
Answer and working
Answer D
n(n − 3)/2 = 9 × 6 ÷ 2 = 27.
-
45 litres of a mixture contains milk and water in the ratio 4 : 1. How much water must be added to make the ratio 1 : 1?
Answer and working
Answer C
Milk = 36 l, water = 9 l. For 1 : 1, water must be 36 × 1/1 = 36 l. Add 36 − 9 = 27 litres.
-
Ramesh can finish a piece of work in 10 days and Suresh can finish it in 90 days. Working together, how long will they take?
Answer and working
Answer D
In one day they do 1/10 + 1/90 = 1/9 of the work. Time = 10 × 90 ÷ (10 + 90) = 9 days.
-
Simplify: 1⁄3 + 1⁄12 + 1⁄3
Answer and working
Answer C
Over the common denominator 12: the sum is 3⁄4. Adding tops and bottoms separately (4/21) is the trap.
-
The average of 5 numbers is 21. When one number is removed, the average of the rest is 19. Which number was removed?
Answer and working
Answer D
Total of 5 = 5 × 21 = 105. Total of 4 = 4 × 19 = 76. Removed = 105 − 76 = 29.
-
What is the unit digit of 9174?
Answer and working
Answer A
The unit digits of the powers of 9 repeat in a cycle of 2: 9, 1. 174 is position 2 in that cycle (174 ÷ 2 leaves 0), so the unit digit is 1.
-
What is the value of 2 cos 0° + cos² 45°?
Answer and working
Answer D
cos 0° = 1 and cos² 45° = 1⁄2. So 2 × 1 + 1⁄2 = 5⁄2.
-
Two taps can fill a cistern in 6 minutes and 30 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer B
Together per minute: 1/6 + 1/30 = 1/5. Time = 6 × 30 ÷ 36 = 5 minutes.
-
A cone has base radius 21 cm and height 72 cm. What is its volume? (π = 22/7)
Answer and working
Answer C
Volume = ⅓πr²h = ⅓ × 22/7 × 21² × 72 = 33,264 cm³.
Part BReasoning Ability and Problem Solving
Directions for questions 21 to 21
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly one person sits between Divya and Esha. Bina sits third to the left of Arun. Farhan sits immediately to the left of Gopal. Gopal sits second to the right of Bina. Esha sits immediately to the left of Bina.-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Divya, Chetan, Esha, Bina, Farhan, Gopal, Arun. Divya and Arun.
-
In a certain code, HORSE is written as FTSPI. How is CANDLE written in that code?
Answer and working
Answer D
From HORSE → FTSPI: the word is written backwards and each letter moves 1 forward. Applied to CANDLE: FMEOBD.
-
Today is Tuesday. What day of the week will it be 42 days from today?
Answer and working
Answer D
42 ÷ 7 leaves 0. 0 days on from Tuesday is Tuesday.
-
In a certain code, LAMP is written as 42. How is SILVER written in that code?
Answer and working
Answer C
LAMP = 42 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For SILVER: 19 + 9 + 12 + 22 + 5 + 18 = 85.
-
Which number replaces the question mark? 2, 3, 8, 27, 112, ?
Answer and working
Answer B
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 565.
-
7 : 343 :: 12 : ?
Answer and working
Answer C
343 = 7³, the rule n³. For 12: 12³ = 1,728.
-
Which letter comes next? V, R, N, J, F, ?
Answer and working
Answer A
Each letter moves 4 places back in the alphabet: V → R → N → J → F → B.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 25 + 6 − 10 × 20 ÷ 12?
Answer and working
Answer B
Replace the signs: 25 × 6 ÷ 10 + 20 − 12. Division and multiplication first, then addition and subtraction: 23.
-
Statements:
(1) Some rivers are lamps.
(2) Some pens are rivers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All pens are rivers.
(II) All rivers are pens.Answer and working
Answer D
Conclusion I need not hold: some pens may lie outside rivers. Conclusion II need not hold: some rivers may lie outside pens. So: Neither conclusion follows.
-
Sana walks 13 km towards the west. She turns right and walks 3 km. She turns right and walks 9 km. How far is she from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: she ends 4 km west and 3 km north of the start. Straight-line distance = √(4² + 3²) = 5 km.
-
In a queue, Anjali is 15th from the front and Sohan is 26th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 15 and 26 there are 26 − 15 − 1 = 10 people.
-
7 : 50 :: 12 : ?
Answer and working
Answer A
50 = 7² + 1, the rule n² + 1. For 12: 12² + 1 = 145.
-
Which letter comes next? B, E, H, K, N, ?
Answer and working
Answer D
Each letter moves 3 places forward in the alphabet: B → E → H → K → N → Q.
-
Which one does not belong with the others?
Answer and working
Answer D
72, 45, 36 are multiples of 9; 125 is not. The odd one is 125.
-
M is the sister of V. V is the father of L. How is M related to L?
Answer and working
Answer C
Follow the links out from L: V is L’s father; M is V’s sister. So M is L’s aunt.
-
In the English alphabet, which letter is 4th to the left of the 5th letter from the right?
Answer and working
Answer A
The 5th letter from the right is V (position 22). 4 places to the left: position 18, which is R.
-
At what time between 1 and 2 o’clock are the hands of a clock together?
Answer and working
Answer D
The minute hand gains 11/2° a minute and must gain 30°. Time = 30 ÷ 5.5 = 60 × 1/11 = 55⁄11 minutes past 1.
-
Pointing to a man in a photograph, Lata said, ‘He is the father of my brother’s only niece.’ How is the man related to Lata?
Answer and working
Answer A
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Lata’s husband.
-
Which one does not belong with the others?
Answer and working
Answer B
In the others the second number is n² of the first; 4 : 14 breaks it. The odd one is 4 : 14.
-
Pooja walks 9 km towards the east. She turns right and walks 7 km. She turns right and walks 14 km. She turns right and walks 5 km. In which direction is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 5 km west and 2 km south of the start, which is to the South-west.
Part CGeneral Awareness
-
In which year was M. G. Ramachandran awarded the Bharat Ratna?
Answer and working
-
Ravi Shankar is known for playing which instrument?
Answer and working
-
Gulzar received the Dadasaheb Phalke Award for which year?
Answer and working
-
Who was the Chief Justice of India throughout 2008?
Answer and working
-
In which year was Meghalaya formed as a state or union territory in its present form?
Answer and working
-
Kanwar Lake Bird Sanctuary, a Ramsar wetland, is in which state?
Answer and working
-
In which year was Oceansat-2 launched?
Answer and working
-
In which year was Elephanta Caves inscribed as a UNESCO World Heritage Site?
Answer and working
-
What is the chemical symbol of vanadium?
Answer and working
-
Which of these World Heritage Sites is in Himachal Pradesh?
Answer and working
-
Where is the headquarters of the International Union for Conservation of Nature?
Answer and working
-
Imphal is the capital of which state or union territory?
Answer and working
-
What is the capital of Cambodia?
Answer and working
-
Which day is observed on March 8?
Answer and working
-
Which of these was written by Aravind Adiga?
Answer and working
-
In which year was the Battle of Wandiwash fought?
Answer and working
-
Who was the Chief Justice of India throughout 1995?
Answer and working
-
Panchet Dam is built on which river?
Answer and working
-
Vishnu Sakharam Khandekar received the Jnanpith Award in which year?
Answer and working
-
Great Himalayan National Park is in which state?
Answer and working
-
Which of these organisations has its headquarters in Basel?
Answer and working
-
Which of these sportspersons is associated with hockey?
Answer and working
-
The Barbadian dollar is the currency of which country?
Answer and working
-
Which of these rivers flows into the Godavari?
Answer and working
-
Which of these tiger reserves is in Chhattisgarh?
Answer and working
Part DEnglish Language and Comprehension
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is contemporary.
-
Select the one word that can replace the given group of words.
A specialist in gynecologyAnswer and working
-
Select the word closest in meaning to the given word.
HysteriaAnswer and working
Answer D
Hysteria (noun) and Frenzy share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer C
supplemment is wrong; it is spelt supplement. The others are correct.
-
Select the incorrectly spelt word.
Answer and working
Answer C
excissive is wrong; it is spelt excessive. The others are correct.
-
Select the word opposite in meaning to the given word.
ExpandAnswer and working
-
Select the word closest in meaning to the given word.
DisguiseAnswer and working
Answer A
Disguise (noun) and Camouflage share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is incomparable.
-
Select the one word that can replace the given group of words.
Someone who is not a clergyman or a professional personAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is expressive.
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is beehive.
-
Select the word closest in meaning to the given word.
PetiteAnswer and working
Answer B
Petite (adjective) and Tiny 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 person who takes a position in the political centerAnswer and working
-
Select the word opposite in meaning to the given word.
GuiltAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is charitable.
-
Select the word closest in meaning to the given word.
TreatyAnswer and working
Answer B
Treaty (noun) and Pact share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ConfidentAnswer and working
-
Select the word closest in meaning to the given word.
DecreaseAnswer and working
Answer B
Decrease (verb) and Diminish 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 holdup man who stops a vehicle and steals from itAnswer and working
-
Select the word opposite in meaning to the given word.
PersuasiveAnswer and working
-
Select the word closest in meaning to the given word.
TediousAnswer and working
Answer B
Tedious (adjective) and Tiresome share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
PluckyAnswer and working
Answer D
Plucky (adjective) and Gutsy 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 person who holds assets in trust for a beneficiaryAnswer and working
-
Select the word closest in meaning to the given word.
ExpectancyAnswer and working
Answer C
Expectancy (noun) and Anticipation share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
HumilityAnswer and working
Answer A
The opposite of humility is Conceit. Humbleness is the trap: it means the same, not the opposite.
Source: WordNet 3.1