- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 8209027
- Series
- A
SSC MTS Paper 10
- 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
-
From a point on the ground 20 m from the foot of a tower, the angle of elevation of its top is 45°. How tall is the tower?
Answer and working
Answer D
Height = 20 × tan 45° = 20 × 1 = 20 m.
-
What is the unit digit of 2150?
Answer and working
Answer B
The unit digits of the powers of 2 repeat in a cycle of 4: 2, 4, 8, 6. 150 is position 2 in that cycle (150 ÷ 4 leaves 2), so the unit digit is 4.
-
What is √625 + √225 − √324?
Answer and working
Answer D
25 + 15 − 18 = 22.
-
A train 250 m long crosses a platform 390 m long in 32 seconds. What is the speed of the train?
Answer and working
Answer B
It must cover its own length and the platform: 250 + 390 = 640 m in 32 s, so 20 m/s = 20 × 18/5 = 72 km/h.
-
What is the average of 72, 37, 40, 82 and 59?
Answer and working
Answer A
Sum = 290. Average = 290 ÷ 5 = 58.
-
A rectangular plot has a perimeter of 162 m and a length of 46 m. What is its area?
Answer and working
Answer D
Length + breadth = 162 ÷ 2 = 81, so breadth = 35 m. Area = 46 × 35 = 1,610 m².
-
A boat covers 24 km downstream in 2 hours and 20 km upstream in 5 hours. What is the speed of the stream?
Answer and working
Answer B
Downstream speed = 24 ÷ 2 = 12 km/h; upstream = 20 ÷ 5 = 4 km/h. Stream = (12 − 4) ÷ 2 = 4 km/h.
-
The sum of the present ages of a father and his son is 59 years. 5 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 (59 − s − 5) = 6(s − 5), so 84 = 7s and s = 12 years.
-
₹7,200 is divided among Amit, Bina and Chetan in the ratio 1 : 2 : 7. What is Chetan’s share?
Answer and working
Answer C
Total parts = 1 + 2 + 7 = 10. Chetan gets 7/10 × 7,200 = ₹5,040.
-
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 C
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.
-
The fare for a journey goes from ₹860 to ₹1,118. What is the percentage increase?
Answer and working
Answer C
Change = ₹258. On the original value: 258 ÷ 860 × 100 = 30%, a 30% increase. Dividing by the new value, 1,118, is the usual slip.
-
What is each interior angle of a regular polygon with 10 sides?
Answer and working
Answer D
Each exterior angle = 360° ÷ 10 = 36°. Interior = 180° − 36° = 144°.
-
99 litres of a mixture contains milk and water in the ratio 6 : 5. How much water must be added to make the ratio 1 : 3?
Answer and working
Answer D
Milk = 54 l, water = 45 l. For 1 : 3, water must be 54 × 3/1 = 162 l. Add 162 − 45 = 117 litres.
-
Two taps can fill a cistern in 21 minutes and 28 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer B
Together per minute: 1/21 + 1/28 = 1/12. Time = 21 × 28 ÷ 49 = 12 minutes.
-
If a + b = 18 and ab = 81, what is a² + b²?
Answer and working
Answer A
a² + b² = (a + b)² − 2ab = 324 − 162 = 162.
-
Two successive discounts of 20% and 20% are equal to a single discount of:
Answer and working
Answer A
Single discount = 20 + 20 − (20 × 20)/100 = 36%. The second discount is taken on the already reduced price, so the two do not simply add.
-
The simple interest on a sum for 4 years at 11% per annum is ₹15,840. What is the sum?
Answer and working
Answer B
P = SI × 100 / (R × T) = 15,840 × 100 / (11 × 4) = ₹36,000.
-
The two sides containing the right angle of a triangle are 5 cm and 12 cm. What is its area?
Answer and working
Answer B
Area = ½ × 5 × 12 = 30 cm².
-
₹50,000 amounts to ₹66,125 in 2 years at compound interest, compounded annually. What is the rate of interest?
Answer and working
Answer D
(1 + R/100)² = 66,125/50,000 = 1.3225, so 1 + R/100 = 1.15 and R = 15%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
-
What is the median of these numbers: 23, 29, 41, 27, 51, 32, 17?
Answer and working
Answer B
In order: 17, 23, 27, 29, 32, 41, 51. The middle value is 29.
Part BReasoning Ability and Problem Solving
-
IJK : KLM :: LMN : ?
Answer and working
Answer B
Each letter of IJK moves 2 forward to give KLM. Doing the same to LMN gives NOP.
-
In a row of 60 students, Meena is 32nd from the left. What is Meena’s position from the right?
Answer and working
Answer D
Position from the right = total − position from the left + 1 = 60 − 32 + 1 = 29th.
-
Which pair comes next? BU, CT, DS, ER, ?
Answer and working
Answer A
The first letters move forward 1 (B, C, D, E); the second move back 1 (U, T, S, R). Next: FQ.
-
In a certain code, OCEAN is written as LXVZM. How is KNIFE written in that code?
Answer and working
Answer C
From OCEAN → LXVZM: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to KNIFE: PMRUV.
Directions for questions 25 to 25
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly 3 people sit between Bina and Esha. Farhan sits second to the right of Gopal. Arun and Chetan sit next to each other. Exactly 4 people sit between Farhan and Chetan. Farhan sits somewhere to the right of Bina.-
Which pair sits at the two ends of the row?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Arun, Bina, Gopal, Divya, Farhan, Esha. Chetan and Esha.
-
Pointing to a man in a photograph, Meera said, ‘His mother is the only daughter of my mother.’ How is the man related to Meera?
Answer and working
Answer C
The only daughter of my mother is me, so I am the mother. So the man is Meera’s son.
-
Imran walks 7 km towards the east. He turns left and walks 4 km. He turns left and walks 9 km. He turns left and walks 9 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 west and 5 km south of the start, which is to the South-west.
-
Statements:
(1) Some boxes are clocks.
(2) All planes are boxes.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some boxes are planes.
(II) Some clocks are boxes.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.
-
In a certain code, MILK is written as 49. How is MARKET written in that code?
Answer and working
Answer A
MILK = 49 is the sum of (position + 1) for each letter. For MARKET: 14 + 2 + 19 + 12 + 6 + 21 = 74.
-
Pooja walks 12 km towards the north. She turns right and walks 6 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 North.
-
What is the angle between the hour and minute hands of a clock at 4:20?
Answer and working
Answer A
Angle = |30H − 5.5M| = |120 − 110| = 10°. Answer: 10°. The hour hand moves too, half a degree a minute, which is why it is not 0°.
-
Which one does not belong with the others?
Answer and working
Answer A
36, 289, 81 are perfect squares; 278 is not. The odd one is 278.
-
Which letter comes next? L, J, H, F, D, ?
Answer and working
Answer B
Each letter moves 2 places back in the alphabet: L → J → H → F → D → B.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 22 ÷ 10 × 8 − 3 + 3?
Answer and working
Answer C
Replace the signs: 22 − 10 + 8 × 3 ÷ 3. Division and multiplication first, then addition and subtraction: 20.
-
In the English alphabet, which letter is 6th to the right of the 10th letter from the left?
Answer and working
Answer D
The 10th letter from the left is J (position 10). 6 places to the right: position 16, which is P.
-
9 : 90 :: 4 : ?
Answer and working
Answer B
90 = 9 × 10, the rule n(n + 1). For 4: 4 × 5 = 20.
-
Which number replaces the question mark? 79, 83, 89, 97, 101, 103, ?
Answer and working
Answer B
The rule: consecutive prime numbers. The missing term is 107.
-
Which one does not belong with the others?
Answer and working
Answer D
125, 27, 512 are cubes; 225 is a square, not a cube. The odd one is 225.
-
Statements:
(1) Some lamps are not phones.
(2) No phones are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No lamps are fans.
(II) Some phones are lamps.Answer and working
Answer D
Conclusion I need not hold: lamps and fans may overlap. Conclusion II need not hold: phones and lamps need not overlap at all. So: Neither conclusion follows.
-
1 January 2017 was a Sunday. What day of the week was 1 January 2018?
Answer and working
Answer B
2017 has 365 days: 1 odd day. Sunday + 1 = Monday.
Part CGeneral Awareness
-
In which year was Rajendra Prasad awarded the Bharat Ratna?
Answer and working
-
What is the capital of North Macedonia?
Answer and working
-
In which year was Meghalaya formed as a state or union territory in its present form?
Answer and working
-
Which of these rivers flows into the Rann of Kutch?
Answer and working
-
Which of these Ramsar sites is in Rajasthan?
Answer and working
-
Buxa Tiger Reserve is in which state?
Answer and working
-
In which year was the Battle of Wandiwash fought?
Answer and working
-
Who wrote ‘Anandamath’?
Answer and working
-
In which year was INSAT-3DR launched?
Answer and working
-
Rajinikanth received the Dadasaheb Phalke Award for which year?
Answer and working
-
Who was the President of India throughout 2016?
Answer and working
-
Which of these musicians is known for the sarangi?
Answer and working
-
Bhavanisagar Dam is built on which river?
Answer and working
-
What is the currency of Republic of the Congo?
Answer and working
-
World Humanitarian Day is observed on which date?
Answer and working
-
Grass Hills National Park is in which state?
Answer and working
-
In which year was Mahabodhi Temple inscribed as a UNESCO World Heritage Site?
Answer and working
-
Who was the first Chief Justice of India?
Answer and working
-
Which of these was written by Aravind Adiga?
Answer and working
-
Which element has the symbol Re?
Answer and working
-
Where is the headquarters of the United Nations Security Council?
Answer and working
-
Fauja Singh is associated with which sport?
Answer and working
-
Tomb of Isa Khan, a UNESCO World Heritage Site, is in which state?
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. Rajasthan Jaipur 2. Chhattisgarh Raipur 3. Lakshadweep Kavaratti Answer and working
-
U. R. Ananthamurthy received the Jnanpith Award in which year?
Answer and working
Part DEnglish Language and Comprehension
-
Select the word closest in meaning to the given word.
LethalAnswer and working
Answer C
Lethal (adjective) and Deadly share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ElitistAnswer and working
-
Select the word closest in meaning to the given word.
FeistyAnswer and working
Answer B
Feisty (adjective) and Plucky share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
OverchargeAnswer and working
-
Select the one word that can replace the given group of words.
One who sells advice about gambling or speculationAnswer and working
-
Select the word closest in meaning to the given word.
CrypticAnswer and working
Answer B
Cryptic (adjective) and Mysterious 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 correctly spelt word.
Answer and working
Answer A
The correct spelling is aberration.
-
Select the one word that can replace the given group of words.
The helmsman of a ship's boat or a racing crewAnswer and working
-
Select the word closest in meaning to the given word.
InjuriousAnswer and working
Answer A
Injurious (adjective) and Hurtful share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
CriticizeAnswer and working
Answer C
The opposite of criticize is Praise. Knock is the trap: it means the same, not the opposite.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer D
inevitible is wrong; it is spelt inevitable. The others are correct.
-
Select the incorrectly spelt word.
Answer and working
Answer D
progressave is wrong; it is spelt progressive. The others are correct.
-
Select the word closest in meaning to the given word.
CorrespondAnswer and working
Answer B
Correspond (verb) and Match 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 sanitary.
-
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 person who fights duelsAnswer and working
-
Select the word closest in meaning to the given word.
TierAnswer and working
Answer A
Tier (noun) and Level 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.
The kind of intellectual who converts messages from a code to plain textAnswer and working
Answer B
Decoder: the kind of intellectual who converts messages from a code to plain text.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
UpholdAnswer and working
Answer B
Uphold (verb) and Preserve 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 allowance.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is resurrect.
-
Select the word opposite in meaning to the given word.
BlameAnswer and working
-
Select the word closest in meaning to the given word.
FlirtatiousAnswer and working
Answer D
Flirtatious (adjective) and Coquettish share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer B
momentery is wrong; it is spelt momentary. The others are correct.