- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 5963112
- Series
- B
SSC MTS Paper 3
- 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
-
Pipe A fills a tank in 23 hours; pipe B empties the full tank in 46 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer C
Net filling per hour = 1/23 − 1/46 = 1/46. Time = 46 hours.
-
A boat covers 36 km downstream in 3 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 36 ÷ 3 = 12 km/h; upstream = 30 ÷ 5 = 6 km/h. Boat = (12 + 6) ÷ 2 = 9 km/h.
-
The two sides containing the right angle of a triangle are 7 cm and 24 cm. What is its area?
Answer and working
Answer D
Area = ½ × 7 × 24 = 84 cm².
-
The diagonal of a square is 30 cm. What is its area?
Answer and working
Answer C
Area of a square = diagonal² ÷ 2 = 900 ÷ 2 = 450 cm².
-
₹9,300 is divided among Meera, Arjun and Kavya in the ratio 1 : 7 : 4. What is Kavya’s share?
Answer and working
Answer D
Total parts = 1 + 7 + 4 = 12. Kavya gets 4/12 × 9,300 = ₹3,100.
-
Simplify: 3⁄4 + 1⁄2 + 7⁄8
Answer and working
Answer B
Over the common denominator 24: the sum is 17⁄8. Adding tops and bottoms separately (19/26) is the trap.
-
A sum of money becomes five times itself in 16 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer A
The interest earned is 4 times the principal in 16 years. Rate = 4 × 100 / 16 = 25%.
-
The average of 5 numbers is 77. When one number is removed, the average of the rest is 81. Which number was removed?
Answer and working
Answer D
Total of 5 = 5 × 77 = 385. Total of 4 = 4 × 81 = 324. Removed = 385 − 324 = 61.
-
A train 440 m long passes a signal post in 22 seconds. What is its speed in km/h?
Answer and working
Answer C
Speed = 440 ÷ 22 = 20 m/s = 20 × 18/5 = 72 km/h.
-
The present ages of Asha and her father are in the ratio 5 : 9. After 10 years, the ratio will be 5 : 8. What is Asha’s present age?
Answer and working
Answer D
Ages 5x and 9x. (5x + 10) : (9x + 10) = 5 : 8 gives x = 6. Asha is 5 × 6 = 30 years.
-
How many diagonals does a polygon with 16 sides have?
Answer and working
Answer C
n(n − 3)/2 = 16 × 13 ÷ 2 = 104.
-
Ramesh can finish a piece of work in 42 days and Suresh can finish it in 84 days. Working together, how long will they take?
Answer and working
Answer A
In one day they do 1/42 + 1/84 = 1/28 of the work. Time = 42 × 84 ÷ (42 + 84) = 28 days.
-
What is the mode of these numbers: 43, 19, 10, 47, 19, 22, 19?
Answer and working
Answer B
19 occurs most often (3 times): 19.
-
615 is what percent of 1,640?
Answer and working
Answer C
615 ÷ 1,640 × 100 = 37.5%.
-
If x + 1⁄x = 8, what is x³ + 1⁄x³?
Answer and working
Answer C
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 512 − 24 = 488.
-
From a point on the ground 40 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 A
Height = 40 × tan 60° = 40 × √3 = 40√3 m.
-
Two successive discounts of 20% and 10% are equal to a single discount of:
Answer and working
Answer C
Single discount = 20 + 10 − (20 × 10)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.
-
77 litres of a mixture contains milk and water in the ratio 2 : 5. How much water must be added to make the ratio 1 : 4?
Answer and working
Answer B
Milk = 22 l, water = 55 l. For 1 : 4, water must be 22 × 4/1 = 88 l. Add 88 − 55 = 33 litres.
-
What is the LCM of 32, 24 and 56?
Answer and working
Answer D
32 = 2⁵; 24 = 2³ × 3; 56 = 2³ × 7. Each prime at its highest power: 2⁵ × 3 × 7 = 672.
-
What is the compound interest on ₹4,000 for 3 years at 10% per annum, compounded annually?
Answer and working
Answer A
Amount = 4,000 × (1 + 10/100)3 = ₹5,324. CI = 5,324 − 4,000 = ₹1,324.
Part BReasoning Ability and Problem Solving
-
Which letter comes next? Y, V, S, P, M, ?
Answer and working
Answer D
Each letter moves 3 places back in the alphabet: Y → V → S → P → M → J.
-
Sunil walks 11 km towards the east. He turns right and walks 14 km. He turns right and walks 3 km. He turns right and walks 8 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 8 km east and 6 km south of the start. Distance = √(8² + 6²) = 10 km. 10 km, south-east.
-
Which one does not belong with the others?
Answer and working
Answer C
361, 324, 256 are perfect squares; 167 is not. The odd one is 167.
-
In a certain code, KNIFE is written as LMJEF. How is PENCIL written in that code?
Answer and working
Answer D
From KNIFE → LMJEF: letters in odd places move 1 forward, letters in even places move 1 back. Applied to PENCIL: QDOBJK.
-
Which one does not belong with the others?
Answer and working
Answer C
In the others the letters are 3 apart (ADG); in GJN the last gap is 4. The odd one is GJN.
-
Pointing to a woman in a photograph, Kavita said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Kavita?
Answer and working
Answer B
The only daughter of my mother is me, so I am the mother. So the woman is Kavita’s daughter.
-
6 : 217 :: 4 : ?
Answer and working
Answer A
217 = 6³ + 1, the rule n³ + 1. For 4: 4³ + 1 = 65.
-
In a certain code, MARKET is written as OYTIGR. How is CARPET written in that code?
Answer and working
Answer D
From MARKET → OYTIGR: letters in odd places move 2 forward, letters in even places move 2 back. Applied to CARPET: EYTNGR.
-
Which letter comes next? E, G, I, K, M, ?
Answer and working
Answer A
Each letter moves 2 places forward in the alphabet: E → G → I → K → M → O.
-
Today is Tuesday. What day of the week will it be 49 days from today?
Answer and working
Answer D
49 ÷ 7 leaves 0. 0 days on from Tuesday is Tuesday.
-
7 : 343 :: 6 : ?
Answer and working
Answer A
343 = 7³, the rule n³. For 6: 6³ = 216.
-
In a row of 56 students, Kabir is 28th from the left. What is Kabir’s position from the right?
Answer and working
Answer A
Position from the right = total − position from the left + 1 = 56 − 28 + 1 = 29th.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 49 ÷ 8 × 8 + 15 − 8?
Answer and working
Answer A
Replace the signs: 49 − 8 ÷ 8 × 15 + 8. Division and multiplication first, then addition and subtraction: 42.
Directions for questions 34 to 34
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun sits immediately to the right of Bina. Esha sits immediately to the right of Divya. Chetan sits somewhere to the right of Arun. Divya sits somewhere to the right of Arun. Chetan sits at one of the two ends. Exactly one person sits between Farhan and Esha.-
Which pair sits at the two ends of the row?
Answer and working
Answer A
Only one order fits every clue, from the left: Bina, Arun, Farhan, Divya, Esha, Chetan. Bina and Chetan.
-
Which number replaces the question mark? 6, 7, 16, 51, ?, 1,045
Answer and working
Answer C
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 208.
-
In the English alphabet, which letter is 6th to the right of the 6th letter from the left?
Answer and working
Answer D
The 6th letter from the left is F (position 6). 6 places to the right: position 12, which is L.
-
What is the angle between the hour and minute hands of a clock at 2:50?
Answer and working
Answer A
Angle = |30H − 5.5M| = |60 − 275| = 215°; the smaller angle is 360 − 215. Answer: 145°. The hour hand moves too, half a degree a minute, which is why it is not 120°.
-
Which number replaces the question mark? 4, 8, 16, 32, 64, ?
Answer and working
Answer D
The rule: each term is the previous × 2. The missing term is 128.
-
Statements:
(1) All coins are lamps.
(2) All coins are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some coins are lamps.
(II) Some bottles are coins.Answer and working
Answer C
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
-
Pointing to a man in a photograph, Deepak said, ‘He is the only son of my mother’s father.’ How is the man related to Deepak?
Answer and working
Answer A
The only son of my mother’s father is my mother’s brother. So the man is Deepak’s uncle.
Part CGeneral Awareness
-
What is the capital of Madagascar?
Answer and working
-
Who was the Chief Justice of India throughout 1980?
Answer and working
-
Amitabh Bachchan received the Dadasaheb Phalke Award for which year?
Answer and working
-
Which of these was written by Bibhutibhushan Bandyopadhyay?
Answer and working
-
Who was the first Prime Minister of India?
Answer and working
-
What is the currency of Kuwait?
Answer and working
-
What is the capital of Telangana?
Answer and working
-
Where is the headquarters of the European Free Trade Association?
Answer and working
-
In which year was CARTOSAT-2B launched?
Answer and working
-
In which year was the Battle of Diu fought?
Answer and working
-
Which of these musicians is known for the sarangi?
Answer and working
-
World Meteorological Day is observed on which date?
Answer and working
-
Which of these Ramsar sites is in Bihar?
Answer and working
-
Kevladev National Park, a UNESCO World Heritage Site, is in which state?
Answer and working
-
In which year was Ravi Shankar awarded the Bharat Ratna?
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 sportspersons is associated with hockey?
Answer and working
-
Which of these tiger reserves is in West Bengal?
Answer and working
-
Bandipur National Park is in which state?
Answer and working
-
Thakazhi Sivasankara Pillai received the Jnanpith Award in which year?
Answer and working
-
Srisailam Dam is built on which river?
Answer and working
-
Which of these organisations has its headquarters in Nairobi?
Answer and working
-
The Musi river flows into which?
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 Rh?
Answer and working
Part DEnglish Language and Comprehension
-
Select the word closest in meaning to the given word.
StonyAnswer and working
Answer A
Stony (adjective) and Rocky share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
SulkAnswer and working
Answer D
Sulk (verb) and Pout 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.
An officer charged with receiving and disbursing fundsAnswer and working
-
Select the word closest in meaning to the given word.
ImmaculateAnswer and working
Answer D
Immaculate (adjective) and Spotless share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
AwakeAnswer and working
-
Select the word opposite in meaning to the given word.
RejectAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer D
The correct spelling is imaginable.
-
Select the word closest in meaning to the given word.
ShamAnswer and working
Answer C
Sham (adjective) and Fictitious share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
UnfreezeAnswer and working
Answer B
Unfreeze (verb) and Melt share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
CourageousAnswer and working
Answer B
Courageous (adjective) and Brave share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
HorizontalAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is reputable.
-
Select the incorrectly spelt word.
Answer and working
Answer A
invulnerrable is wrong; it is spelt invulnerable. The others are correct.
-
Select the one word that can replace the given group of words.
Someone who leads you to believe something that is not trueAnswer and working
-
Select the one word that can replace the given group of words.
A member of a military unit trained as shock troops for hit-and-run raidsAnswer and working
Answer D
Commando: a member of a military unit trained as shock troops for hit-and-run raids.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
CurlyAnswer and working
-
Select the word closest in meaning to the given word.
SupervisionAnswer and working
Answer B
Supervision (noun) and Oversight 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 omission.
-
Select the incorrectly spelt word.
Answer and working
Answer C
boomirang is wrong; it is spelt boomerang. The others are correct.
-
Select the word opposite in meaning to the given word.
LiberatorAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is puppeteer.
-
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 correctly spelt word.
Answer and working
Answer B
The correct spelling is resilient.
-
Select the one word that can replace the given group of words.
A specialist in the study of diet and nutritionAnswer and working
-
Select the one word that can replace the given group of words.
A woman advocate of women's right to voteAnswer and working