- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 3592125
- Series
- D
SSC MTS Paper 7
- 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
-
484 is what percent of 880?
Answer and working
Answer C
484 ÷ 880 × 100 = 55%.
-
Two taps can fill a cistern in 40 minutes and 60 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer B
Together per minute: 1/40 + 1/60 = 1/24. Time = 40 × 60 ÷ 100 = 24 minutes.
-
What is the mode of these numbers: 35, 46, 32, 40, 46, 46, 46, 30, 14?
Answer and working
Answer B
46 occurs most often (4 times): 46.
-
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 B
Height = 40 × tan 60° = 40 × √3 = 40√3 m.
-
What is the unit digit of 33159?
Answer and working
Answer D
The unit digits of the powers of 33 repeat in a cycle of 4: 3, 9, 7, 1. 159 is position 3 in that cycle (159 ÷ 4 leaves 3), so the unit digit is 7.
-
What is the area of a circle of radius 7 cm? (Take π = 22/7.)
Answer and working
Answer C
Area = πr² = 22/7 × 7 × 7 = 154 cm².
-
The average of 8 numbers is 74. When one number is removed, the average of the rest is 73. Which number was removed?
Answer and working
Answer D
Total of 8 = 8 × 74 = 592. Total of 7 = 7 × 73 = 511. Removed = 592 − 511 = 81.
-
What is √256 + √841 − √484?
Answer and working
Answer B
16 + 29 − 22 = 23.
-
A train 425 m long passes a signal post in 17 seconds. What is its speed in km/h?
Answer and working
Answer C
Speed = 425 ÷ 17 = 25 m/s = 25 × 18/5 = 90 km/h.
-
If x + 1⁄x = 3, what is x² + 1⁄x²?
Answer and working
Answer B
Square both sides: x² + 2 + 1/x² = 9, so x² + 1/x² = 7.
-
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%.
-
A and B together can do a job in 14 days. A alone can do it in 18 days. In how many days can B alone do it?
Answer and working
Answer B
B’s one day = 1/14 − 1/18 = 1/63. B alone takes 63 days.
-
By selling a watch for ₹665, a man loses 5%. For how much should he sell it to gain 15%?
Answer and working
Answer D
CP = 665 × 100/95 = ₹700. For a 15% gain: 700 × 115/100 = ₹805.
-
What is the value of 52² − 13²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 65 × 39 = 2,535.
-
Each exterior angle of a regular polygon is 40°. How many sides does it have?
Answer and working
Answer C
Exterior angles add up to 360°, so the number of sides = 360 ÷ 40 = 9.
-
What is the compound interest on ₹12,700 for 2 years at 20% per annum, compounded annually?
Answer and working
Answer C
Amount = 12,700 × (1 + 20/100)2 = ₹18,288. CI = 18,288 − 12,700 = ₹5,588.
-
The present ages of Asha and her elder brother are in the ratio 5 : 9. After 2 years, the ratio will be 3 : 5. What is Asha’s present age?
Answer and working
Answer A
Ages 5x and 9x. (5x + 2) : (9x + 2) = 3 : 5 gives x = 2. Asha is 5 × 2 = 10 years.
-
A boat covers 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer C
Downstream speed = 125 ÷ 5 = 25 km/h; upstream = 75 ÷ 5 = 15 km/h. Boat = (25 + 15) ÷ 2 = 20 km/h.
-
The incomes of P and Q are in the ratio 5 : 4 and their expenditures are in the ratio 4 : 3. If each saves ₹14,500 a month, what is P’s monthly income?
Answer and working
Answer B
Incomes 5x and 4x. (5x − 14,500) : (4x − 14,500) = 4 : 3 gives x = 14,500. P’s income = 5 × 14,500 = ₹72,500.
-
16 litres of a mixture contains milk and water in the ratio 5 : 3. How much water must be added to make the ratio 1 : 2?
Answer and working
Answer C
Milk = 10 l, water = 6 l. For 1 : 2, water must be 10 × 2/1 = 20 l. Add 20 − 6 = 14 litres.
Part BReasoning Ability and Problem Solving
-
In a class, Neha ranks 25th from the top and 30th from the bottom. How many students are in the class?
Answer and working
Answer A
Neha is counted in both ranks, so the total is 25 + 30 − 1 = 54.
-
In the English alphabet, which letter is 5th to the left of the 12th letter from the right?
Answer and working
Answer B
The 12th letter from the right is O (position 15). 5 places to the left: position 10, which is J.
-
KMO : LNP :: OQS : ?
Answer and working
Answer B
Each letter of KMO moves 1 forward to give LNP. Doing the same to OQS gives PRT.
-
At what time between 2 and 3 o’clock are the hands of a clock together?
Answer and working
Answer B
The minute hand gains 11/2° a minute and must gain 60°. Time = 60 ÷ 5.5 = 60 × 2/11 = 1010⁄11 minutes past 2.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 23 ÷ 6 − 9 + 8 × 4?
Answer and working
Answer C
Replace the signs: 23 × 6 + 9 − 8 ÷ 4. Division and multiplication first, then addition and subtraction: 145.
-
Which group comes next? CDE, IJK, OPQ, ?
Answer and working
Answer B
Inside each group the letters step by 1; each group starts 6 letters after the last (C, I, O). Next: UVW.
-
V is the husband of H. Z is the brother of V. F is the daughter of Z. How is F related to H?
Answer and working
Answer D
Follow the links out from H: V is H’s husband; Z is V’s brother; F is Z’s daughter. So F is H’s niece.
-
Statements:
(1) Some roads are pens.
(2) Some roads are boxes.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All pens are roads.
(II) All pens are boxes.Answer and working
Answer D
Conclusion I need not hold: some pens may lie outside roads. Conclusion II need not hold: some pens may lie outside boxes. So: Neither conclusion follows.
-
In a certain code, BOOK is written as LPPC. How is FLOWER written in that code?
Answer and working
Answer D
From BOOK → LPPC: the word is written backwards and each letter moves 1 forward. Applied to FLOWER: SFXPMG.
-
In a certain code, BRIDGE is written as GIFKTD. How is LAMP written in that code?
Answer and working
Answer B
From BRIDGE → GIFKTD: the word is written backwards and each letter moves 2 forward. Applied to LAMP: ROCN.
-
Meera walks 13 km towards the west. She turns left and walks 3 km. She turns left and walks 13 km. She turns left and walks 12 km. How far is she from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: she ends 0 km east and 9 km north of the start. Straight-line distance = √(0² + 9²) = 9 km.
-
Which number replaces the question mark? 3, 4, 10, 33, 136, ?
Answer and working
Answer B
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 685.
-
Which one does not belong with the others?
Answer and working
Answer D
64, 36, 25 are perfect squares; 137 is not. The odd one is 137.
-
Pointing to a man in a photograph, Neha said, ‘He is the son of my grandfather’s only son.’ How is the man related to Neha?
Answer and working
Answer B
My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the man is Neha’s brother.
Directions for questions 35 to 35
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Divya does not sit next to Farhan. Exactly one person sits between Farhan and Esha. Farhan sits third to the right of Chetan. Exactly one person sits between Esha and Bina.-
Which pair sits at the two ends of the row?
Answer and working
Answer A
Only one order fits every clue, from the left: Divya, Bina, Chetan, Esha, Arun, Farhan. Divya and Farhan.
-
1 January 2021 was a Friday. What day of the week was 1 January 2022?
Answer and working
Answer A
2021 has 365 days: 1 odd day. Friday + 1 = Saturday.
-
5 : 26 :: 11 : ?
Answer and working
Answer B
26 = 5² + 1, the rule n² + 1. For 11: 11² + 1 = 122.
-
Which one does not belong with the others?
Answer and working
Answer D
104, 156, 182 are multiples of 13; 116 is not. The odd one is 116.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 36 − 7 + 6 × 5 ÷ 3?
Answer and working
Answer A
Replace the signs: 36 × 7 ÷ 6 + 5 − 3. Division and multiplication first, then addition and subtraction: 44.
-
Statements:
(1) All doors are rivers.
(2) All rivers are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No doors are rivers.
(II) All doors are stones.Answer and working
Answer B
Conclusion I need not hold: doors and rivers may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
Part CGeneral Awareness
-
Dushanbe is the capital of which country?
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. Tamil Nadu Dehradun 2. Goa Panaji 3. Chhattisgarh Raipur Answer and working
Answer B
1. wrong: Tamil Nadu goes with Chennai; 2. correct; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
Which of these was written by Kahn Singh Nabha?
Answer and working
-
D. Ramanaidu received the Dadasaheb Phalke Award for which year?
Answer and working
-
Kuvempu received the Jnanpith Award in which year?
Answer and working
-
Which day is observed on May 8?
Answer and working
-
Dachigam National Park is in which state?
Answer and working
-
Which of these World Heritage Sites is in Himachal Pradesh?
Answer and working
-
Who was the Vice President of India throughout 2005?
Answer and working
-
In which year was Haryana formed as a state or union territory in its present form?
Answer and working
-
Which of these musicians is known for the santur?
Answer and working
-
In which year was GSAT-15 launched?
Answer and working
-
What is the currency of Yemen?
Answer and working
-
In which year was the Battle of Khanwa fought?
Answer and working
-
Which of these rivers flows into the Kaveri?
Answer and working
-
In which year was Bhagwan Das awarded the Bharat Ratna?
Answer and working
-
Kalakkad Mundanthurai Tiger Reserve is in which state?
Answer and working
-
Which of these sportspersons is associated with hockey?
Answer and working
-
What is the atomic number of arsenic?
Answer and working
-
Which of these organisations has its headquarters in Bern?
Answer and working
-
Dipor Bil, a Ramsar wetland, is in which state?
Answer and working
-
The Botswana pula is the currency of which country?
Answer and working
-
Tungabhadra Dam is built on which river?
Answer and working
-
Who was the Governor of the Reserve Bank of India throughout 1946?
Answer and working
-
In which year was Great Living Chola Temples inscribed as a UNESCO World Heritage Site?
Answer and working
Part DEnglish Language and Comprehension
-
Select the word closest in meaning to the given word.
BragAnswer and working
Answer A
Brag (verb) and Boast share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
DelugeAnswer and working
Answer C
Deluge (verb) and Flood 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 disciplinary.
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is collateral.
-
Select the word closest in meaning to the given word.
CarpentryAnswer and working
Answer D
Carpentry (noun) and Woodwork 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.
Remains on sidelines at social eventAnswer and working
-
Select the one word that can replace the given group of words.
Someone who obtains pleasure from receiving punishmentAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is zucchini.
-
Select the one word that can replace the given group of words.
An insignificant student who is ridiculed as being affected or boringly studiousAnswer and working
Answer B
Dweeb: an insignificant student who is ridiculed as being affected or boringly studious.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
MouldyAnswer and working
Answer D
Mouldy (adjective) and Musty share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
UncertainAnswer and working
Answer A
Uncertain (adjective) and Unsure share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
UnderestimateAnswer and working
-
Select the one word that can replace the given group of words.
A female head of a family or tribeAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is subcommittee.
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is arrival.
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is suggestive.
-
Select the word opposite in meaning to the given word.
LeaderAnswer and working
-
Select the word opposite in meaning to the given word.
UpstreamAnswer and working
-
Select the word opposite in meaning to the given word.
IgniteAnswer and working
-
Select the word closest in meaning to the given word.
WorkmanshipAnswer and working
Answer D
Workmanship (noun) and Craftsmanship 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 waiting in concealmentAnswer and working
-
Select the word closest in meaning to the given word.
RepentAnswer and working
Answer C
Repent (verb) and Atone share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
FastenAnswer and working
Answer C
Fasten (verb) and Secure share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
PotentialAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is incomparable.