- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7558398
- Series
- B
SSC MTS Paper 9
- 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
-
If a − b = 4 and ab = 21, what is a³ − b³?
Answer and working
Answer C
a³ − b³ = (a − b)³ + 3ab(a − b) = 64 + 252 = 316.
-
Pipe A fills a tank in 3 hours; pipe B empties the full tank in 6 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer B
Net filling per hour = 1/3 − 1/6 = 1/6. Time = 6 hours.
-
28 litres of a mixture contains milk and water in the ratio 6 : 1. How much water must be added to make the ratio 1 : 6?
Answer and working
Answer B
Milk = 24 l, water = 4 l. For 1 : 6, water must be 24 × 6/1 = 144 l. Add 144 − 4 = 140 litres.
-
A boat covers 120 km downstream in 5 hours and 72 km upstream in 6 hours. What is the speed of the stream?
Answer and working
Answer A
Downstream speed = 120 ÷ 5 = 24 km/h; upstream = 72 ÷ 6 = 12 km/h. Stream = (24 − 12) ÷ 2 = 6 km/h.
-
What is the value of 2 sec 60° − 3 sin 90°?
Answer and working
Answer D
sec 60° = 2 and sin 90° = 1. So 2 × 2 − 3 × 1 = 1.
-
What is 62.5% of 1,280?
Answer and working
Answer D
62.5% of 1,280 = 1,280 × 62.5/100 = 800.
-
A cone has base radius 14 cm and height 48 cm. What is its volume? (π = 22/7)
Answer and working
Answer C
Volume = ⅓πr²h = ⅓ × 22/7 × 14² × 48 = 9,856 cm³.
-
The sum of the present ages of a father and his son is 70 years. 5 years ago, the father was 3 times as old as the son. How old is the son now?
Answer and working
Answer A
Let the son be s. Then (70 − s − 5) = 3(s − 5), so 80 = 4s and s = 20 years.
-
The simple interest on a sum for 3 years at 10% per annum is ₹5,700. What is the sum?
Answer and working
Answer C
P = SI × 100 / (R × T) = 5,700 × 100 / (10 × 3) = ₹19,000.
-
A bus goes from Pune to Nashik at 14 km/h and returns by the same road at 84 km/h. What is its average speed for the whole journey?
Answer and working
Answer D
For equal distances, average speed = 2xy/(x + y) = 2 × 14 × 84 ÷ 98 = 24 km/h. The plain average, 49, ignores that the slower leg takes longer.
-
A is four times as efficient as B. Together they finish a job in 28 days. How long would A take alone?
Answer and working
Answer B
If B does 1 unit a day, A does 4; together 5 units a day for 28 days = 140 units. A alone: 140 ÷ 4 = 35 days.
-
Simplify: 32 + 10 × 11 − 4 ÷ 2
Answer and working
Answer D
Division and multiplication first: 10 × 11 = 110 and 4 ÷ 2 = 2. Then 32 + 110 − 2 = 140.
-
What is the average of the first 58 odd numbers?
Answer and working
Answer C
The first 58 odd numbers add up to 58² = 3364; the average is 58.
-
What is the HCF of 156, 84 and 132?
Answer and working
Answer C
156 = 2² × 3 × 13; 84 = 2² × 3 × 7; 132 = 2² × 3 × 11. The factors common to all three: 2² × 3 = 12.
-
The angles of a triangle are in the ratio 5 : 7 : 8. What is the largest angle?
Answer and working
Answer B
20 parts make 180°, so one part is 9°. The largest is 8 × 9 = 72°.
-
If A : B = 7 : 9 and B : C = 7 : 5, what is A : B : C?
Answer and working
Answer A
Make B the same in both: A : B = 49 : 63 and B : C = 63 : 45. So A : B : C = 49 : 63 : 45.
-
What is the mean of these numbers: 36, 35, 52, 21, 57, 11, 40?
Answer and working
Answer D
Sum 252 ÷ 7 = 36.
-
₹70,000 amounts to ₹84,700 in 2 years at compound interest, compounded annually. What is the rate of interest?
Answer and working
Answer A
(1 + R/100)² = 84,700/70,000 = 1.21, so 1 + R/100 = 1.1 and R = 10%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
-
A cone has base radius 21 cm and height 20 cm. What is its curved surface area? (π = 22/7)
Answer and working
Answer A
Slant height = √(21² + 20²) = 29 cm. Curved surface = πrl = 22/7 × 21 × 29 = 1,914 cm².
-
A trader buys a bicycle for ₹1,075 and sells it for ₹1,290. What is the profit or loss percent?
Answer and working
Answer B
Profit = ₹215. As a percent of the cost price: 215 ÷ 1,075 × 100 = 20% profit.
Part BReasoning Ability and Problem Solving
Directions for questions 21 to 21
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Farhan sits second to the right of Bina. Exactly 2 people sit between Farhan and Chetan. Esha sits immediately to the right of Farhan. Exactly 4 people sit between Chetan and Arun.-
Who sits at the extreme left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Bina, Divya, Farhan, Esha, Arun. Chetan.
-
Today is Friday. What day of the week will it be 26 days from today?
Answer and working
Answer B
26 ÷ 7 leaves 5. 5 days on from Friday is Wednesday.
-
Imran walks 11 km towards the south. He turns right and walks 7 km. He turns right and walks 7 km. He turns right and walks 9 km. He turns right and walks 3 km. In which direction is he from the starting point?
Answer and working
Answer C
Taking east and north as positive: he ends 2 km east and 7 km south of the start, which is to the South-east.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 51 ÷ 4 + 2 − 19 × 2?
Answer and working
Answer C
Replace the signs: 51 + 4 − 2 × 19 ÷ 2. Division and multiplication first, then addition and subtraction: 36.
-
Rekha walks 9 km towards the south. She turns right and walks 12 km. She turns right and walks 11 km. She turns right and walks 15 km. She turns right and walks 15 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.
-
Which one does not belong with the others?
Answer and working
Answer D
In the others the second number is n³ of the first; 3 : 25 breaks it. The odd one is 3 : 25.
-
In a row of 41 students, Farhan is 12th from the left. What is Farhan’s position from the right?
Answer and working
Answer C
Position from the right = total − position from the left + 1 = 41 − 12 + 1 = 30th.
-
In a certain code, CHALK is written as BGZKJ. How is WINDOW written in that code?
Answer and working
Answer C
From CHALK → BGZKJ: each letter moves 1 place back. Applied to WINDOW: VHMCNV.
-
7 : 336 :: 5 : ?
Answer and working
Answer C
336 = 7³ − 7, the rule n³ − n. For 5: 5³ − 5 = 120.
-
Which number replaces the question mark? 6, 10, 19, 35, ?, 96
Answer and working
Answer A
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 60.
-
Statements:
(1) All trees are rivers.
(2) All trees are bags.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rivers are not bags.
(II) No rivers are trees.Answer and working
Answer D
Conclusion I need not hold: every one of the rivers may be bags. Conclusion II need not hold: rivers and trees may overlap. So: Neither conclusion follows.
-
Which number replaces the question mark? 6, 18, 54, 162, 486, ?
Answer and working
Answer B
The rule: each term is the previous × 3. The missing term is 1,458.
-
Which one does not belong with the others?
Answer and working
Answer D
71, 41, 23 are prime; 91 = 7 × 13. The odd one is 91.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 40 ÷ 9 × 8 − 9 + 8?
Answer and working
Answer A
Replace the signs: 40 × 9 ÷ 8 + 9 − 8. Division and multiplication first, then addition and subtraction: 46.
-
GI : JL :: QS : ?
Answer and working
Answer B
Each letter of GI moves 3 forward to give JL. Doing the same to QS gives TV.
-
What is the angle between the hour and minute hands of a clock at 9:20?
Answer and working
Answer B
Angle = |30H − 5.5M| = |270 − 110| = 160°. Answer: 160°. The hour hand moves too, half a degree a minute, which is why it is not 150°.
-
In the English alphabet, which letter is 3rd to the left of the 8th letter from the right?
Answer and working
Answer B
The 8th letter from the right is S (position 19). 3 places to the left: position 16, which is P.
-
In a certain code, APPLE is written as ZOOKD. How is GARDEN written in that code?
Answer and working
Answer C
From APPLE → ZOOKD: each letter moves 1 place back. Applied to GARDEN: FZQCDM.
-
U is the father of D. W is the sister of U. P is the daughter of W. How is P related to D?
Answer and working
Answer A
Follow the links out from D: U is D’s father; W is U’s sister; P is W’s daughter. So P is D’s cousin.
-
Which letter comes next? P, R, T, V, X, ?
Answer and working
Answer B
Each letter moves 2 places forward in the alphabet: P → R → T → V → X → Z.
Part CGeneral Awareness
-
Kerala backwaters, a Ramsar wetland, is in which state?
Answer and working
-
Mogadishu is the capital of which country?
Answer and working
-
Vishnu Sakharam Khandekar received the Jnanpith Award in which year?
Answer and working
-
In which year was Sarvepalli Radhakrishnan awarded the Bharat Ratna?
Answer and working
-
Which element has the symbol Na?
Answer and working
-
Which of these tiger reserves is in Karnataka?
Answer and working
-
Bandipur National Park is in which state?
Answer and working
-
In which year was GSAT-12 launched?
Answer and working
-
Which of these was written by Rahul Sankrityayan?
Answer and working
-
Which of these dams is on the Jawai River?
Answer and working
-
What is the currency of Ivory Coast?
Answer and working
-
Which of these was written by Paramahansa Yogananda?
Answer and working
-
Qutb Minar, a UNESCO World Heritage Site, is in which state?
Answer and working
-
Who was the Prime Minister of India throughout 1987?
Answer and working
-
Which of these sportspersons is associated with mountaineering?
Answer and working
-
World Hepatitis Day is observed on which date?
Answer and working
-
Who was the Chief Justice of India throughout 1965?
Answer and working
-
In which year was Great Himalayan National Park inscribed as a UNESCO World Heritage Site?
Answer and working
-
Which of these organisations has its headquarters in Dubai?
Answer and working
-
Amjad Ali Khan is known for playing which instrument?
Answer and working
-
Manoj Kumar received the Dadasaheb Phalke Award for which year?
Answer and working
-
Which of these rivers flows into the Godavari?
Answer and working
-
What is the capital of Mizoram?
Answer and working
-
In which year was Uttarakhand formed as a state or union territory in its present form?
Answer and working
-
In which year was the Battle of Buxar fought?
Answer and working
Part DEnglish Language and Comprehension
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is teenage.
-
Select the correctly spelt word.
Answer and working
Answer D
The correct spelling is spiritually.
-
Select the word opposite in meaning to the given word.
PluralAnswer and working
-
Select the one word that can replace the given group of words.
A conceited and self-centered personAnswer and working
-
Select the one word that can replace the given group of words.
A person who takes part in an armed rebellion against the constituted authorityAnswer and working
Answer B
Insurgent: a person who takes part in an armed rebellion against the constituted authority.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
EmpiricalAnswer and working
-
Select the word opposite in meaning to the given word.
FragrantAnswer and working
-
Select the one word that can replace the given group of words.
Someone responsible for keeping recordsAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is effortlessly.
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is procession.
-
Select the word opposite in meaning to the given word.
OverchargeAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is affidavit.
-
Select the one word that can replace the given group of words.
A female sorcerer or magicianAnswer and working
-
Select the word closest in meaning to the given word.
PlightAnswer and working
Answer B
Plight (noun) and Predicament share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
LetdownAnswer and working
Answer C
Letdown (noun) and Disappointment share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
PostmortemAnswer and working
-
Select the word closest in meaning to the given word.
FraudulentAnswer and working
Answer D
Fraudulent (adjective) and Deceitful share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
WaiveAnswer and working
Answer B
Waive (verb) and Relinquish share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ImpregnableAnswer and working
Answer A
Impregnable (adjective) and Unassailable 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 is easily taken advantage ofAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer D
The correct spelling is likelihood.
-
Select the incorrectly spelt word.
Answer and working
Answer A
disippoint is wrong; it is spelt disappoint. The others are correct.
-
Select the word closest in meaning to the given word.
FranknessAnswer and working
Answer B
Frankness (noun) and Candor share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer A
arraignmant is wrong; it is spelt arraignment. The others are correct.
-
Select the word closest in meaning to the given word.
ZealAnswer and working
Answer C
Zeal (noun) and Ardor share their main meaning. None of the other options does.
Source: WordNet 3.1