- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 4706059
- Series
- B
SSC MTS Paper 4
- 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
-
In what ratio must rice at ₹42/kg be mixed with rice at ₹61/kg so that the mixture is worth ₹49/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (61 − 49) : (49 − 42) = 12 : 7 = 12 : 7.
-
The sum of the present ages of a father and his son is 54 years. 2 years ago, the father was 4 times as old as the son. How old is the son now?
Answer and working
Answer D
Let the son be s. Then (54 − s − 2) = 4(s − 2), so 60 = 5s and s = 12 years.
-
What is the median of these numbers: 45, 33, 39, 15, 44, 46, 16, 51, 10?
Answer and working
Answer A
In order: 10, 15, 16, 33, 39, 44, 45, 46, 51. The middle value is 39.
-
A scooter runs at 126 km/h. What is its speed in metres per second?
Answer and working
Answer B
Multiply by 5/18: 126 × 5/18 = 35 m/s.
-
A box measures 9 cm × 14 cm × 5 cm. What is its total surface area?
Answer and working
Answer B
Total surface area = 2(lb + bh + hl) = 2(126 + 70 + 45) = 482 cm².
-
If a + b = 9 and ab = 18, what is a² + b²?
Answer and working
Answer B
a² + b² = (a + b)² − 2ab = 81 − 36 = 45.
-
Ramesh can finish a piece of work in 45 days and Suresh can finish it in 30 days. Working together, how long will they take?
Answer and working
Answer D
In one day they do 1/45 + 1/30 = 1/18 of the work. Time = 45 × 30 ÷ (45 + 30) = 18 days.
-
What is the average of 27, 60, 74, 59, 69, 78 and 95?
Answer and working
Answer C
Sum = 462. Average = 462 ÷ 7 = 66.
-
A boat covers 80 km downstream in 5 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water?
Answer and working
Answer A
Downstream speed = 80 ÷ 5 = 16 km/h; upstream = 24 ÷ 4 = 6 km/h. Boat = (16 + 6) ÷ 2 = 11 km/h.
-
What is the largest 4-digit number exactly divisible by 74?
Answer and working
Answer B
9,999 ÷ 74 leaves remainder 9. 9,999 − 9 = 9,990.
-
By selling a watch for ₹960, a man loses 20%. For how much should he sell it to gain 25%?
Answer and working
Answer C
CP = 960 × 100/80 = ₹1,200. For a 25% gain: 1,200 × 125/100 = ₹1,500.
-
What is the unit digit of 2134?
Answer and working
Answer B
The unit digits of the powers of 2 repeat in a cycle of 4: 2, 4, 8, 6. 134 is position 2 in that cycle (134 ÷ 4 leaves 2), so the unit digit is 4.
-
What is the fourth proportional to 9, 4 and 36?
Answer and working
Answer A
9 : 4 = 36 : x, so x = 4 × 36 ÷ 9 = 16.
-
What is each interior angle of a regular polygon with 18 sides?
Answer and working
Answer C
Each exterior angle = 360° ÷ 18 = 20°. Interior = 180° − 20° = 160°.
-
A sum of money doubles itself in 4 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer B
The interest earned is 1 times the principal in 4 years. Rate = 1 × 100 / 4 = 25%.
-
Pipe A fills a tank in 8 hours; pipe B empties the full tank in 24 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer C
Net filling per hour = 1/8 − 1/24 = 1/12. Time = 12 hours.
-
What is the value of 3 cosec² 45° + tan² 60°?
Answer and working
Answer A
cosec² 45° = 2 and tan² 60° = 3. So 3 × 2 + 3 = 9.
-
What is 55% of 1,620?
Answer and working
Answer A
55% of 1,620 = 1,620 × 55/100 = 891.
-
What is the value of 70² − 44²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 114 × 26 = 2,964.
-
What is the compound interest on ₹45,200 for 2 years at 15% per annum, compounded annually?
Answer and working
Answer D
Amount = 45,200 × (1 + 15/100)2 = ₹59,777. CI = 59,777 − 45,200 = ₹14,577.
Part BReasoning Ability and Problem Solving
-
Which one does not belong with the others?
Answer and working
Answer B
216, 1000, 343 are cubes; 196 is a square, not a cube. The odd one is 196.
-
Sana walks 15 km towards the north. She turns left and walks 13 km. She turns left and walks 8 km. She turns right and walks 9 km. She turns right and walks 14 km. In which direction is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 22 km west and 21 km north of the start, which is to the North-west.
-
In the English alphabet, which letter is 6th to the right of the 10th letter from the right?
Answer and working
Answer A
The 10th letter from the right is Q (position 17). 6 places to the right: position 23, which is W.
-
Pointing to a man in a photograph, Sana said, ‘He is the father of my brother’s only niece.’ How is the man related to Sana?
Answer and working
Answer A
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Sana’s husband.
-
Which group comes next? ABC, FGH, KLM, ?
Answer and working
Answer A
Inside each group the letters step by 1; each group starts 5 letters after the last (A, F, K). Next: PQR.
-
Today is Monday. What day of the week will it be 45 days from today?
Answer and working
Answer A
45 ÷ 7 leaves 3. 3 days on from Monday is Thursday.
-
In a certain code, EAGLE is written as FZHKF. How is TICKET written in that code?
Answer and working
Answer A
From EAGLE → FZHKF: letters in odd places move 1 forward, letters in even places move 1 back. Applied to TICKET: UHDJFS.
-
Which number replaces the question mark? 7, 24, 75, 228, 687, 2,064, ?
Answer and working
Answer A
The rule: each term is the previous × 3 + 3. The missing term is 6,195.
-
Which number replaces the question mark? 25, 28, 34, 43, 55, 70, ?
Answer and working
Answer B
The rule: the differences grow by 3: 3, 6, 9, 12, 15, 18. The missing term is 88.
-
Statements:
(1) All boxes are buses.
(2) Some boxes are papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No buses are papers.
(II) Some papers are boxes.Answer and working
Answer B
Conclusion I need not hold: buses and papers may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
In a certain code, STONE is written as UVQPG. How is MONEY written in that code?
Answer and working
Answer A
From STONE → UVQPG: each letter moves 2 places forward. Applied to MONEY: OQPGA.
-
What is the angle between the hour and minute hands of a clock at 4:40?
Answer and working
Answer C
Angle = |30H − 5.5M| = |120 − 220| = 100°. Answer: 100°. The hour hand moves too, half a degree a minute, which is why it is not 120°.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 24 × 8 + 8 − 17 ÷ 6?
Answer and working
Answer A
Replace the signs: 24 + 8 ÷ 8 × 17 − 6. Division and multiplication first, then addition and subtraction: 35.
-
Pooja walks 11 km towards the north. She turns left and walks 7 km. She turns left and walks 4 km. She turns left and walks 3 km. She turns right and walks 10 km. How far is she from the starting point in a straight line?
Answer and working
Answer B
Taking east and north as positive: she ends 4 km west and 3 km south of the start. Straight-line distance = √(4² + 3²) = 5 km.
-
In a class, Lata ranks 30th from the top and 5th from the bottom. How many students are in the class?
Answer and working
Answer C
Lata is counted in both ranks, so the total is 30 + 5 − 1 = 34.
-
AC : DF :: QS : ?
Answer and working
Answer A
Each letter of AC moves 3 forward to give DF. Doing the same to QS gives TV.
-
6 : 36 :: 8 : ?
Answer and working
Answer D
36 = 6², the rule n². For 8: 8² = 64.
-
Which one does not belong with the others?
Answer and working
Answer B
In the others the second number is 3n + 1 of the first; 9 : 30 breaks it. The odd one is 9 : 30.
-
Which letter comes next? B, E, H, K, N, ?
Answer and working
Answer B
Each letter moves 3 places forward in the alphabet: B → E → H → K → N → Q.
Directions for questions 40 to 40
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Bina sits second to the left of Divya. Exactly 2 people sit between Esha and Bina. Divya sits immediately to the right of Gopal. Exactly 3 people sit between Arun and Divya. Exactly one person sits between Farhan and Gopal. Exactly 3 people sit between Chetan and Gopal.-
How many people sit between Gopal and Arun?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Arun, Farhan, Bina, Gopal, Divya, Esha. Between them: 2.
Part CGeneral Awareness
-
Which of these World Heritage Sites is in Sikkim?
Answer and working
-
Who was the first Prime Minister of India?
Answer and working
-
K. Shivaram Karanth received the Jnanpith Award in which year?
Answer and working
-
Consider the following pairs of states and their capitals:
How many of the pairs given above are correctly matched?State or union territory Capital 1. Jharkhand Itanagar 2. Kerala Thiruvananthapuram 3. Mizoram Aizawl Answer and working
Answer B
1. wrong: Jharkhand goes with Ranchi; 2. correct; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
In which year was the Second Battle of Tarain fought?
Answer and working
-
Udanti-Sitanadi Tiger Reserve is in which state?
Answer and working
-
Consider the following pairs of countries and their capitals:
How many of the pairs given above are correctly matched?Country Capital 1. Kenya Nairobi 2. Spain Brussels 3. El Salvador Cape Town Answer and working
Answer A
1. correct; 2. wrong: Spain goes with Madrid; 3. wrong: El Salvador goes with San Salvador. So: Only one pair.
Source: Wikidata (CC0)
-
In which year was INSAT-3D launched?
Answer and working
-
Mandla Plant Fossils National Park is in which state?
Answer and working
-
B. Nagi Reddy received the Dadasaheb Phalke Award for which year?
Answer and working
-
In which year was Champaner-Pavagadh Archaeological Park inscribed as a UNESCO World Heritage Site?
Answer and working
-
Which element has the symbol Ar?
Answer and working
-
Who wrote ‘Autobiography of a Yogi’?
Answer and working
-
Where is the headquarters of the World Food Programme?
Answer and working
-
Which of these sportspersons is associated with archery?
Answer and working
-
In which year was Ladakh formed as a state or union territory in its present form?
Answer and working
-
Which of these rivers flows into the Vembanad?
Answer and working
-
In which year was Dhondo Keshav Karve awarded the Bharat Ratna?
Answer and working
-
The Costa Rican colón is the currency of which country?
Answer and working
-
World Emoji Day is observed on which date?
Answer and working
-
Who was the Governor of the Reserve Bank of India throughout 1951?
Answer and working
-
Bismillah Khan is known for playing which instrument?
Answer and working
-
Point Calimere Wildlife and Bird Sanctuary, a Ramsar wetland, is in which state?
Answer and working
-
Which of these sportspersons is associated with archery?
Answer and working
-
Sardar Sarovar Dam is built on which river?
Answer and working
Part DEnglish Language and Comprehension
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is assimilate.
-
Select the one word that can replace the given group of words.
Traveler who moves from one region or country to anotherAnswer and working
-
Select the word closest in meaning to the given word.
HyperactiveAnswer and working
Answer A
Hyperactive (adjective) and Overactive share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer A
sufficce is wrong; it is spelt suffice. The others are correct.
-
Select the word opposite in meaning to the given word.
EstablishAnswer and working
Answer D
The opposite of establish is Abolish. Found is the trap: it means the same, not the opposite.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ClarityAnswer and working
Answer D
The opposite of clarity is Obscurity. Lucidity 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 grocer who sells fresh fruits and vegetablesAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is irregular.
-
Select the word closest in meaning to the given word.
LureAnswer and working
Answer A
Lure (verb) and Tempt share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer D
comencement is wrong; it is spelt commencement. The others are correct.
-
Select the word closest in meaning to the given word.
FlirtatiousAnswer and working
Answer B
Flirtatious (adjective) and Coquettish 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 runs a short distance at top speedAnswer and working
-
Select the word closest in meaning to the given word.
ReassignAnswer and working
Answer D
Reassign (verb) and Transfer 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 rudimentary.
-
Select the one word that can replace the given group of words.
A sewer who fastens a garment with long loose stitchesAnswer and working
-
Select the word opposite in meaning to the given word.
DefeatAnswer and working
-
Select the word opposite in meaning to the given word.
CriticizeAnswer and working
Answer D
The opposite of criticize is Praise. Knock is the trap: it means the same, not the opposite.
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.
SpecterAnswer and working
Answer A
Specter (noun) and Ghost 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 accurately.
-
Select the word closest in meaning to the given word.
NauticalAnswer and working
Answer D
Nautical (adjective) and Maritime 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 believes in rule by an elite groupAnswer and working
-
Select the incorrectly spelt word.
Answer and working
Answer B
aleination is wrong; it is spelt alienation. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is imaginary.
-
Select the word closest in meaning to the given word.
ReassessAnswer and working
Answer A
Reassess (verb) and Reevaluate share their main meaning. None of the other options does.
Source: WordNet 3.1