- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 6343198
- Series
- B
SSC MTS Paper 8
- 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 tan θ = 8⁄15 and θ is acute, what is sec θ?
Answer and working
Answer C
Draw a right triangle with sides 8, 15 and hypotenuse 17 (8² + 15² = 17²). Then sec θ = 17⁄15.
-
What is the compound interest on ₹15,000 for 3 years at 10% per annum, compounded annually?
Answer and working
Answer B
Amount = 15,000 × (1 + 10/100)3 = ₹19,965. CI = 19,965 − 15,000 = ₹4,965.
-
In what ratio must rice at ₹46/kg be mixed with rice at ₹74/kg so that the mixture is worth ₹67/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (74 − 67) : (67 − 46) = 7 : 21 = 1 : 3.
-
What is the simple interest on ₹54,500 at 11% per annum for 6 years?
Answer and working
Answer C
SI = P × R × T / 100 = 54,500 × 11 × 6 / 100 = ₹35,970.
-
A train 225 m long passes a signal post in 15 seconds. What is its speed in km/h?
Answer and working
Answer D
Speed = 225 ÷ 15 = 15 m/s = 15 × 18/5 = 54 km/h.
-
The average of 9 numbers is 68. When one number is removed, the average of the rest is 72. Which number was removed?
Answer and working
Answer B
Total of 9 = 9 × 68 = 612. Total of 8 = 8 × 72 = 576. Removed = 612 − 576 = 36.
-
A and B together can do a job in 18 days. A alone can do it in 30 days. In how many days can B alone do it?
Answer and working
Answer B
B’s one day = 1/18 − 1/30 = 1/45. B alone takes 45 days.
-
What is the HCF of 156, 132 and 36?
Answer and working
Answer B
156 = 2² × 3 × 13; 132 = 2² × 3 × 11; 36 = 2² × 3². The factors common to all three: 2² × 3 = 12.
-
What is the mean of these numbers: 41, 32, 57, 36, 42, 15, 15?
Answer and working
Answer B
Sum 238 ÷ 7 = 34.
-
Simplify: 69 + 6 × 11 − 45 ÷ 5
Answer and working
Answer B
Division and multiplication first: 6 × 11 = 66 and 45 ÷ 5 = 9. Then 69 + 66 − 9 = 126.
-
A boat covers 100 km downstream in 5 hours and 108 km upstream in 6 hours. What is the speed of the stream?
Answer and working
Answer A
Downstream speed = 100 ÷ 5 = 20 km/h; upstream = 108 ÷ 6 = 18 km/h. Stream = (20 − 18) ÷ 2 = 1 km/h.
-
If x + 1⁄x = 9, what is x² + 1⁄x²?
Answer and working
Answer B
Square both sides: x² + 2 + 1/x² = 81, so x² + 1/x² = 79.
-
What is 55% of 500?
Answer and working
Answer D
55% of 500 = 500 × 55/100 = 275.
-
Simplify: 38 + 13 × 7 − 32 ÷ 4
Answer and working
Answer C
Division and multiplication first: 13 × 7 = 91 and 32 ÷ 4 = 8. Then 38 + 91 − 8 = 121.
-
The incomes of P and Q are in the ratio 8 : 3 and their expenditures are in the ratio 13 : 3. If each saves ₹1,500 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 8x and 3x. (8x − 1,500) : (3x − 1,500) = 13 : 3 gives x = 1,000. P’s income = 8 × 1,000 = ₹8,000.
-
Each exterior angle of a regular polygon is 20°. How many sides does it have?
Answer and working
Answer C
Exterior angles add up to 360°, so the number of sides = 360 ÷ 20 = 18.
-
The present ages of Asha and her elder brother are in the ratio 6 : 7. After 6 years, the ratio will be 9 : 10. What is Asha’s present age?
Answer and working
Answer C
Ages 6x and 7x. (6x + 6) : (7x + 6) = 9 : 10 gives x = 2. Asha is 6 × 2 = 12 years.
-
Two taps can fill a cistern in 8 minutes and 24 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer C
Together per minute: 1/8 + 1/24 = 1/6. Time = 8 × 24 ÷ 32 = 6 minutes.
-
The two sides containing the right angle of a triangle are 9 cm and 12 cm. What is its hypotenuse?
Answer and working
Answer B
Hypotenuse = √(9² + 12²) = √225 = 15 cm.
-
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.
Part BReasoning Ability and Problem Solving
-
P is the wife of K. Y is the brother of P. How is Y related to K?
Answer and working
Answer B
Follow the links out from K: P is K’s wife; Y is P’s brother. So Y is K’s brother-in-law.
-
Which one does not belong with the others?
Answer and working
Answer D
121, 81, 49 are perfect squares; 188 is not. The odd one is 188.
-
Meera walks 6 km towards the south. She turns left and walks 4 km. She turns left and walks 13 km. She turns left and walks 11 km. She turns left and walks 7 km. How far is she from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: she ends 7 km west and 0 km north of the start. Straight-line distance = √(7² + 0²) = 7 km.
-
In a queue, Vikram is 10th from the front and Dev is 17th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 10 and 17 there are 17 − 10 − 1 = 6 people.
-
Arun walks 14 km towards the east. He turns left and walks 11 km. He turns left and walks 9 km. He turns left and walks 7 km. He turns right and walks 7 km. In which direction is he from the starting point?
Answer and working
Answer B
Taking east and north as positive: he ends 2 km west and 4 km north of the start, which is to the North-west.
-
Which pair comes next? DZ, GW, JT, MQ, ?
Answer and working
Answer A
The first letters move forward 3 (D, G, J, M); the second move back 3 (Z, W, T, Q). Next: PN.
-
At what time between 5 and 6 o’clock are the hands of a clock together?
Answer and working
Answer D
The minute hand gains 11/2° a minute and must gain 150°. Time = 150 ÷ 5.5 = 60 × 5/11 = 273⁄11 minutes past 5.
-
In a certain code, TABLE is written as FMCBU. How is PILLOW written in that code?
Answer and working
Answer C
From TABLE → FMCBU: the word is written backwards and each letter moves 1 forward. Applied to PILLOW: XPMMJQ.
Directions for questions 29 to 29
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Farhan sits third to the left of Bina. Exactly 3 people sit between Arun and Farhan. Esha sits immediately to the left of Divya. Arun does not sit at either end.-
Who sits exactly between Bina and Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Farhan, Esha, Divya, Bina, Arun, Chetan. Arun.
-
Which letter comes next? Q, N, K, H, E, ?
Answer and working
Answer C
Each letter moves 3 places back in the alphabet: Q → N → K → H → E → B.
-
In a certain code, MONEY is written as OMPCA. How is CHAIR written in that code?
Answer and working
Answer B
From MONEY → OMPCA: letters in odd places move 2 forward, letters in even places move 2 back. Applied to CHAIR: EFCGT.
-
7 : 17 :: 11 : ?
Answer and working
Answer A
17 = 2 × 7 + 3, the rule 2n + 3. For 11: 2 × 11 + 3 = 25.
-
4 : 64 :: 11 : ?
Answer and working
Answer A
64 = 4³, the rule n³. For 11: 11³ = 1,331.
-
1 January 1997 was a Wednesday. What day of the week was 1 January 1998?
Answer and working
Answer D
1997 has 365 days: 1 odd day. Wednesday + 1 = Thursday.
-
Pointing to a man in a photograph, Kavita said, ‘He is the father of my brother’s only niece.’ How is the man related to Kavita?
Answer and working
Answer D
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Kavita’s husband.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 25 − 8 + 10 ÷ 18 × 8?
Answer and working
Answer B
Replace the signs: 25 × 8 ÷ 10 + 18 − 8. Division and multiplication first, then addition and subtraction: 30.
-
Which number replaces the question mark? 8, 16, 32, 64, 128, ?
Answer and working
Answer B
The rule: each term is the previous × 2. The missing term is 256.
-
In the English alphabet, which letter is 5th to the right of the 7th letter from the left?
Answer and working
Answer C
The 7th letter from the left is G (position 7). 5 places to the right: position 12, which is L.
-
Which one does not belong with the others?
Answer and working
Answer D
125, 27, 8 are cubes; 100 is a square, not a cube. The odd one is 100.
-
Statements:
(1) Some clouds are papers.
(2) All clouds are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No clouds are papers.
(II) All fans are clouds.Answer and working
Answer D
Conclusion I need not hold: clouds and papers may overlap. Conclusion II need not hold: some fans may lie outside clouds. So: Neither conclusion follows.
Part CGeneral Awareness
-
What is the capital of Assam?
Answer and working
-
Nathpa Jhakri Dam is built on which river?
Answer and working
-
In which year was the Battle of Khanwa fought?
Answer and working
-
Which of these sportspersons is associated with archery?
Answer and working
-
The złoty is the currency of which country?
Answer and working
-
Ntangki National Park is in which state?
Answer and working
-
World Environment Day is observed on which date?
Answer and working
-
Consider the following pairs of tiger reserves and their states:
How many of the pairs given above are correctly matched?Tiger reserve State 1. Udanti-Sitanadi Tiger Reserve Chhattisgarh 2. Mukundra Hills Tiger Reserve Rajasthan 3. Sathyamangalam Tiger Reserve Tamil Nadu Answer and working
-
In which year was RISAT-2 launched?
Answer and working
-
Which element has the symbol Sr?
Answer and working
-
In which year was Abul Kalam Azad awarded the Bharat Ratna?
Answer and working
-
In which year was Valley of Flowers National Park inscribed as a UNESCO World Heritage Site?
Answer and working
-
Ashtamudi Lake, a Ramsar wetland, is in which state?
Answer and working
-
Where is the headquarters of the United Nations?
Answer and working
-
In which year was Sikkim formed as a state or union territory in its present form?
Answer and working
-
Champaner-Pavagadh Archaeological Park, a UNESCO World Heritage Site, is in which state?
Answer and working
-
Sitakant Mahapatra received the Jnanpith Award in which year?
Answer and working
-
What is the capital of Kenya?
Answer and working
-
Gulzar received the Dadasaheb Phalke Award for which year?
Answer and working
-
Who was the Vice President of India throughout 2006?
Answer and working
-
In which year was the Battle of Talikota fought?
Answer and working
-
Which of these rivers flows into the Godavari?
Answer and working
-
Nikhil Banerjee is known for playing which instrument?
Answer and working
-
Who was the President of India throughout 2023?
Answer and working
-
Which of these was written by Umaswati?
Answer and working
Part DEnglish Language and Comprehension
-
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 C
Commando: a member of a military unit trained as shock troops for hit-and-run raids.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
RecklessAnswer and working
Answer D
Reckless (adjective) and Rash share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
TeensyAnswer and working
Answer C
Teensy (adjective) and Bitty 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 person in charge of performances in a circus ringAnswer and working
-
Select the word opposite in meaning to the given word.
ScarceAnswer and working
-
Select the word closest in meaning to the given word.
ShoddyAnswer and working
Answer C
Shoddy (adjective) and Tawdry 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 attribute.
-
Select the incorrectly spelt word.
Answer and working
Answer A
affectionatte is wrong; it is spelt affectionate. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is zucchini.
-
Select the word closest in meaning to the given word.
ReverenceAnswer and working
Answer D
Reverence (noun) and Veneration share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer B
impressionnist is wrong; it is spelt impressionist. The others are correct.
-
Select the word opposite in meaning to the given word.
AnteriorAnswer and working
-
Select the word closest in meaning to the given word.
FranknessAnswer and working
Answer D
Frankness (noun) and Candor share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is immunity.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is giraffe.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is accelerate.
-
Select the one word that can replace the given group of words.
A person whose back is hunched because of abnormal curvature of the upper spineAnswer and working
Answer B
Humpback: a person whose back is hunched because of abnormal curvature of the upper spine.
Source: WordNet 3.1
-
Select the one word that can replace the given group of words.
Someone who fights bullsAnswer and working
-
Select the one word that can replace the given group of words.
An associate on the same ship with youAnswer and working
-
Select the word closest in meaning to the given word.
GummyAnswer and working
Answer B
Gummy (adjective) and Sticky 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 abstinence.
-
Select the word closest in meaning to the given word.
SelflessnessAnswer and working
Answer B
Selflessness (noun) and Altruism share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ThriftyAnswer and working
-
Select the word opposite in meaning to the given word.
LowerAnswer and working
-
Select the word opposite in meaning to the given word.
AwakeAnswer and working