- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 1637646
- Series
- B
SSC MTS Paper 6
- 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
-
A train 400 m long crosses a platform 420 m long in 82 seconds. What is the speed of the train?
Answer and working
Answer B
It must cover its own length and the platform: 400 + 420 = 820 m in 82 s, so 10 m/s = 10 × 18/5 = 36 km/h.
-
What is the compound interest on ₹9,000 for 3 years at 10% per annum, compounded annually?
Answer and working
Answer A
Amount = 9,000 × (1 + 10/100)3 = ₹11,979. CI = 11,979 − 9,000 = ₹2,979.
-
In what ratio must rice at ₹45/kg be mixed with rice at ₹59/kg so that the mixture is worth ₹48/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (59 − 48) : (48 − 45) = 11 : 3 = 11 : 3.
-
Two taps can fill a cistern in 10 minutes and 15 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer B
Together per minute: 1/10 + 1/15 = 1/6. Time = 10 × 15 ÷ 25 = 6 minutes.
-
What is the LCM of 88, 24 and 112?
Answer and working
Answer D
88 = 2³ × 11; 24 = 2³ × 3; 112 = 2⁴ × 7. Each prime at its highest power: 2⁴ × 3 × 7 × 11 = 3,696.
-
A and B together can do a job in 30 days. A alone can do it in 55 days. In how many days can B alone do it?
Answer and working
Answer D
B’s one day = 1/30 − 1/55 = 1/66. B alone takes 66 days.
-
What is the median of these numbers: 51, 37, 43, 44, 28, 53, 35, 57, 25?
Answer and working
Answer B
In order: 25, 28, 35, 37, 43, 44, 51, 53, 57. The middle value is 43.
-
Simplify: 52 + 4 × 8 − 10 ÷ 5
Answer and working
Answer A
Division and multiplication first: 4 × 8 = 32 and 10 ÷ 5 = 2. Then 52 + 32 − 2 = 82.
-
What is 45% of 780?
Answer and working
Answer B
45% of 780 = 780 × 45/100 = 351.
-
A shopkeeper marks his goods 20% above the cost price and allows a discount of 30%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 120. After 30% off: 120 × 70/100 = 84. So 16% loss.
-
What is the value of cos² 30° + 3 sin 90°?
Answer and working
Answer D
cos² 30° = 3⁄4 and sin 90° = 1. So 3⁄4 + 3 × 1 = 15⁄4.
-
If x + 1⁄x = 9, what is x² + 1⁄x²?
Answer and working
Answer A
Square both sides: x² + 2 + 1/x² = 81, so x² + 1/x² = 79.
-
Solve for x: 4x − 20 = 2x − 8
Answer and working
Answer C
4x − 2x = −8 + 20, so 2x = 12 and x = 12 ÷ 2. x = 6.
-
The two sides containing the right angle of a triangle are 8 cm and 15 cm. What is its hypotenuse?
Answer and working
Answer A
Hypotenuse = √(8² + 15²) = √289 = 17 cm.
-
Each exterior angle of a regular polygon is 45°. How many sides does it have?
Answer and working
Answer D
Exterior angles add up to 360°, so the number of sides = 360 ÷ 45 = 8.
-
The incomes of P and Q are in the ratio 8 : 3 and their expenditures are in the ratio 6 : 1. If each saves ₹14,000 a month, what is P’s monthly income?
Answer and working
Answer C
Incomes 8x and 3x. (8x − 14,000) : (3x − 14,000) = 6 : 1 gives x = 7,000. P’s income = 8 × 7,000 = ₹56,000.
-
The average of 12 numbers is 51. When one number is removed, the average of the rest is 52. Which number was removed?
Answer and working
Answer D
Total of 12 = 12 × 51 = 612. Total of 11 = 11 × 52 = 572. Removed = 612 − 572 = 40.
-
What is the simple interest on ₹40,500 at 6% per annum for 2 years?
Answer and working
Answer B
SI = P × R × T / 100 = 40,500 × 6 × 2 / 100 = ₹4,860.
-
A boat covers 63 km downstream in 3 hours and 95 km upstream in 5 hours. What is the speed of the stream?
Answer and working
Answer A
Downstream speed = 63 ÷ 3 = 21 km/h; upstream = 95 ÷ 5 = 19 km/h. Stream = (21 − 19) ÷ 2 = 1 km/h.
-
The present ages of Asha and her father are in the ratio 1 : 7. After 7 years, the ratio will be 2 : 7. What is Asha’s present age?
Answer and working
Answer A
Ages 1x and 7x. (1x + 7) : (7x + 7) = 2 : 7 gives x = 5. Asha is 1 × 5 = 5 years.
Part BReasoning Ability and Problem Solving
-
Which number replaces the question mark? 64, 125, 216, 343, 512, ?
Answer and working
Answer C
The rule: the terms are 4³, 5³, 6³ …. The missing term is 729.
-
In a queue, Vikram is 16th from the front and Sohan is 35th from the front. How many people stand between them?
Answer and working
Answer D
Between positions 16 and 35 there are 35 − 16 − 1 = 18 people.
Directions for questions 23 to 23
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Exactly 2 people sit between Esha and Bina. Bina sits somewhere to the right of Farhan. Esha and Chetan sit next to each other. Exactly 4 people sit between Esha and Divya. Chetan sits somewhere to the right of Farhan.-
Who sits second to the right of Divya?
Answer and working
Answer C
Only one order fits every clue, from the left: Divya, Farhan, Bina, Arun, Chetan, Esha. Bina.
-
Which number replaces the question mark? 20, 29, 45, 70, 106, 155, ?
Answer and working
Answer B
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 219.
-
If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 8 × 9 − 8 + 4 ÷ 6?
Answer and working
Answer B
Replace the signs: 8 − 9 + 8 ÷ 4 × 6. Division and multiplication first, then addition and subtraction: 11.
-
FHJ : EGI :: QSU : ?
Answer and working
Answer B
Each letter of FHJ moves 1 back to give EGI. Doing the same to QSU gives PRT.
-
In a certain code, DESK is written as FCUI. How is CLOUD written in that code?
Answer and working
Answer D
From DESK → FCUI: letters in odd places move 2 forward, letters in even places move 2 back. Applied to CLOUD: EJQSF.
-
Which pair comes next? BY, EW, HU, KS, ?
Answer and working
Answer B
The first letters move forward 3 (B, E, H, K); the second move back 2 (Y, W, U, S). Next: NQ.
-
What is the angle between the hour and minute hands of a clock at 2:40?
Answer and working
Answer B
Angle = |30H − 5.5M| = |60 − 220| = 160°. Answer: 160°. The hour hand moves too, half a degree a minute, which is why it is not 180°.
-
Which letter comes next? X, V, T, R, P, ?
Answer and working
Answer A
Each letter moves 2 places back in the alphabet: X → V → T → R → P → N.
-
Statements:
(1) No kites are boxes.
(2) Some kites are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some boxes are pens.
(II) All kites are pens.Answer and working
Answer D
Conclusion I need not hold: boxes and pens need not overlap at all. Conclusion II need not hold: some kites may lie outside pens. So: Neither conclusion follows.
-
Farah walks 6 km towards the south. She turns left and walks 13 km. She turns right and walks 3 km. She turns left and walks 12 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 East.
-
Today is Thursday. What day of the week will it be 82 days from today?
Answer and working
Answer A
82 ÷ 7 leaves 5. 5 days on from Thursday is Tuesday.
-
In the English alphabet, which letter is 5th to the left of the 8th letter from the left?
Answer and working
Answer C
The 8th letter from the left is H (position 8). 5 places to the left: position 3, which is C.
-
Y is the wife of H. H is the son of V. How is Y related to V?
Answer and working
Answer B
Follow the links out from V: H is V’s son; Y is H’s wife. So Y is V’s daughter-in-law.
-
In a certain code, RIBBON is written as 60. How is WATER written in that code?
Answer and working
Answer D
RIBBON = 60 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For WATER: 23 + 1 + 20 + 5 + 18 = 67.
-
Which one does not belong with the others?
Answer and working
Answer C
225, 196, 144 are perfect squares; 39 is not. The odd one is 39.
-
Kavita walks 4 km towards the west. She turns right and walks 11 km. She turns right and walks 4 km. She turns right 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 0 km east and 1 km south of the start. Distance = √(0² + 1²) = 1 km. 1 km, south.
-
Which one does not belong with the others?
Answer and working
Answer D
196, 25, 144 are perfect squares; 44 is not. The odd one is 44.
-
HJL : IKM :: MOQ : ?
Answer and working
Answer D
Each letter of HJL moves 1 forward to give IKM. Doing the same to MOQ gives NPR.
Part CGeneral Awareness
-
Which of these sportspersons is associated with mountaineering?
Answer and working
-
Consider the following pairs of days and their dates:
How many of the pairs given above are correctly matched?Day Date 1. World Theatre Day March 27 2. World Bicycle Day June 3 3. International Day of Older Persons August 13 Answer and working
Answer B
1. correct; 2. correct; 3. wrong: International Day of Older Persons goes with October 1. So: Only two pairs.
Source: Wikidata (CC0)
-
Which of these World Heritage Sites is in Odisha?
Answer and working
-
Where is the headquarters of the Asia-Pacific Economic Cooperation?
Answer and working
-
In which year was Qutb complex inscribed as a UNESCO World Heritage Site?
Answer and working
-
Who was the Prime Minister of India throughout 1969?
Answer and working
-
Which of these rivers flows into the Mahananda?
Answer and working
-
Which element has the symbol Li?
Answer and working
-
What is the capital of Telangana?
Answer and working
-
In which year was Sikkim formed as a state or union territory in its present form?
Answer and working
-
Mukundra Hills Tiger Reserve is in which state?
Answer and working
-
Which of these musicians is known for the sarod?
Answer and working
-
What is the capital of Ethiopia?
Answer and working
-
Nameri National Park is in which state?
Answer and working
-
In which year was M. Visvesvaraya awarded the Bharat Ratna?
Answer and working
-
Consider the following pairs of countries and their currencies:
How many of the pairs given above are correctly matched?Country Currency 1. Comoros Comorian franc 2. Benin West African CFA franc 3. Haiti gourde Answer and working
-
Who wrote ‘The Discovery of India’?
Answer and working
-
Koyna Dam is built on which river?
Answer and working
-
In which year was the Third Battle of Panipat fought?
Answer and working
-
Which of these Ramsar sites is in Assam?
Answer and working
-
S. K. Pottekkatt received the Jnanpith Award in which year?
Answer and working
-
Satyajit Ray received the Dadasaheb Phalke Award for which year?
Answer and working
-
Who was the Vice President of India throughout 2013?
Answer and working
-
In which year was Megha-Tropiques launched?
Answer and working
-
Where is the headquarters of the European Court of Auditors?
Answer and working
Part DEnglish Language and Comprehension
-
Select the word opposite in meaning to the given word.
ReassureAnswer and working
-
Select the word closest in meaning to the given word.
OdorAnswer and working
Answer C
Odor (noun) and Smell 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 acts speaks or writes in an amusing wayAnswer and working
-
Select the word opposite in meaning to the given word.
BlessAnswer and working
-
Select the one word that can replace the given group of words.
A woman who was regarded as an oracle or prophetAnswer and working
-
Select the word closest in meaning to the given word.
AffrontAnswer and working
Answer C
Affront (verb) and Insult share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ValuableAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is intelligent.
-
Select the one word that can replace the given group of words.
Embodiment in a new formAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer D
The correct spelling is commandant.
-
Select the word closest in meaning to the given word.
MaritimeAnswer and working
Answer B
Maritime (adjective) and Nautical share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
AmazementAnswer and working
Answer D
Amazement (noun) and Astonishment share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
AgileAnswer and working
Answer A
Agile (adjective) and Nimble 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 responsible for keeping recordsAnswer and working
-
Select the word closest in meaning to the given word.
GratisAnswer and working
Answer D
Gratis (adjective) and Complimentary 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 bribery.
-
Select the incorrectly spelt word.
Answer and working
Answer A
unforgevable is wrong; it is spelt unforgivable. The others are correct.
-
Select the word opposite in meaning to the given word.
LatterAnswer and working
-
Select the word closest in meaning to the given word.
ResentmentAnswer and working
Answer C
Resentment (noun) and Bitterness 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 cinnamon.
-
Select the incorrectly spelt word.
Answer and working
Answer A
oddbell is wrong; it is spelt oddball. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is suffocate.
-
Select the one word that can replace the given group of words.
A cowboy who takes care of the saddle horsesAnswer and working
-
Select the incorrectly spelt word.
Answer and working
Answer A
unusuilly is wrong; it is spelt unusually. The others are correct.
-
Select the word opposite in meaning to the given word.
AncestorAnswer and working
Answer A
The opposite of ancestor is Descendant. Ascendent is the trap: it means the same, not the opposite.
Source: WordNet 3.1