- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7165522
- Series
- C
LIC AAO Prelims Paper 4
- Questions
- 100
- Maximum marks
- 100
- Minutes allowed
- 60
Instructions निर्देश
- This booklet has 100 questions in 3 parts: A. Reasoning Ability (35), B. Quantitative Aptitude (35), C. English Language with special emphasis on grammar, vocabulary and comprehension (30).
- Each part has its own clock. When it runs out, that part closes and the next opens.
- Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs nothing. 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 AReasoning Ability
-
Rohit walks 15 km towards the north. He turns right and walks 12 km. He turns right and walks 2 km. He turns right and walks 12 km. How far is he from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: he ends 0 km east and 13 km north of the start. Straight-line distance = √(0² + 13²) = 13 km.
Directions for questions 2 to 6
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly 3 people sit between Bina and Chetan. Exactly 5 people sit between Esha and Arun. Bina sits somewhere to the right of Farhan. Farhan sits immediately to the right of Divya. Esha sits third to the right of Divya.-
What is Farhan’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Chetan, Gopal, Divya, Farhan, Bina, Esha. 5th.
-
How many people sit between Bina and Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Chetan, Gopal, Divya, Farhan, Bina, Esha. Between them: 3.
-
Which pair sits at the two ends of the row?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Chetan, Gopal, Divya, Farhan, Bina, Esha. Arun and Esha.
-
Who sits immediately to the right of Divya?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Chetan, Gopal, Divya, Farhan, Bina, Esha. Farhan.
-
Who sits at the extreme left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Chetan, Gopal, Divya, Farhan, Bina, Esha. Arun.
-
Statements:
(1) Some books are not boxes.
(2) All bottles are books.
(3) All kites are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All books are bottles.
(II) No bottles are boxes.Answer and working
Answer D
Conclusion I need not hold: some books may lie outside bottles. Conclusion II need not hold: bottles and boxes may overlap. So: Neither conclusion follows.
-
A is the father of Q. N is the sister of A. How is N related to Q?
Answer and working
Answer E
Follow the links out from Q: A is Q’s father; N is A’s sister. So N is Q’s aunt.
-
Statement: B > S ≥ N < F < Y
Conclusions: I. F > S II. B ≥ NAnswer and working
Answer B
F and S: the signs between them point both ways, so no relation can be fixed, so F > S is not definitely true. B and N: the chain gives B > N, so B ≥ N is definitely true. So: Only conclusion II follows.
-
In a certain code, BRIDGE is written as 45. How is SISTER written in that code?
Answer and working
Answer B
BRIDGE = 45 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For SISTER: 19 + 9 + 19 + 20 + 5 + 18 = 90.
-
In a queue, Vikram is 7th from the front and Sohan is 21st from the front. How many people stand between them?
Answer and working
Answer D
Between positions 7 and 21 there are 21 − 7 − 1 = 13 people.
-
Statements:
(1) All papers are birds.
(2) No clouds are papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are not papers.
(II) No clouds are birds.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: clouds and birds may overlap. So: Only conclusion I follows.
-
L is the sister of P. P is the father of G. V is the daughter of L. How is V related to G?
Answer and working
Answer D
Follow the links out from G: P is G’s father; L is P’s sister; V is L’s daughter. So V is G’s cousin.
-
Statement: X ≥ N = T = V > J
Conclusions: I. X = V II. X > VAnswer and working
Answer C
X and V: the chain gives X ≥ V, so X = V is not definitely true. X and V: the chain gives X ≥ V, so X > V is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Pointing to a man in a photograph, Arun said, ‘He is the only son of my mother’s father.’ How is the man related to Arun?
Answer and working
Answer C
The only son of my mother’s father is my mother’s brother. So the man is Arun’s uncle.
-
Rohit walks 6 km towards the north. He turns right and walks 5 km. He turns right and walks 13 km. He turns right and walks 15 km. He turns right and walks 2 km. In which direction is he from the starting point?
Answer and working
Answer D
Taking east and north as positive: he ends 10 km west and 5 km south of the start, which is to the South-west.
-
Statements:
(1) All watches are phones.
(2) Some watches are bells.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some phones are bells.
(II) Some bells are watches.Answer and working
Answer E
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
-
Statement: X < H ≤ M ≥ Y > K
Conclusions: I. M ≥ K II. K ≥ HAnswer and working
Answer A
M and K: the chain gives M > K, so M ≥ K is definitely true. K and H: the signs between them point both ways, so no relation can be fixed, so K ≥ H is not definitely true. So: Only conclusion I follows.
-
Statement: C ≥ Q ≤ N ≤ U ≥ S
Conclusions: I. Q < U II. Q = UAnswer and working
Answer C
Q and U: the chain gives Q ≤ U, so Q < U is not definitely true. Q and U: the chain gives Q ≤ U, so Q = U is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Which number replaces the question mark? 1, 2, 6, 15, 31, 56, ?
Answer and working
Answer B
The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 92.
-
In the English alphabet, which letter is 6th to the right of the 4th letter from the left?
Answer and working
Answer D
The 4th letter from the left is D (position 4). 6 places to the right: position 10, which is J.
-
Pooja walks 9 km towards the west. She turns right and walks 14 km. She turns left and walks 7 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 16 km west and 14 km north of the start, which is to the North-west.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 29 + 3 × 3 − 20 ÷ 8?
Answer and working
Answer E
Replace the signs: 29 − 3 ÷ 3 × 20 + 8. Division and multiplication first, then addition and subtraction: 17.
-
In a certain code, LADDER is written as OZWWVI. How is COPPER written in that code?
Answer and working
Answer C
From LADDER → OZWWVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to COPPER: XLKKVI.
-
Statements:
(1) All tables are bells.
(2) Some tables are books.
(3) Some bottles are books.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some books are bells.
(II) All books are bells.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some books may lie outside bells. So: Only conclusion I follows.
-
Statements:
(1) Some roads are not kites.
(2) All cups are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some cups are kites.
(II) Some cups are not roads.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the cups may be roads. So: Only conclusion I follows.
-
Statement: D > N ≤ A ≥ Z ≥ K
Conclusions: I. D < K II. K ≤ AAnswer and working
Answer B
D and K: the signs between them point both ways, so no relation can be fixed, so D < K is not definitely true. K and A: the chain gives K ≤ A, so K ≤ A is definitely true. So: Only conclusion II follows.
-
In a class, Kabir ranks 17th from the top and 11th from the bottom. How many students are in the class?
Answer and working
Answer B
Kabir is counted in both ranks, so the total is 17 + 11 − 1 = 27.
-
Statements:
(1) All rivers are birds.
(2) All birds are stones.
(3) All papers are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some birds are not rivers.
(II) No papers are birds.Answer and working
Answer D
Conclusion I need not hold: every one of the birds may be rivers. Conclusion II need not hold: papers and birds may overlap. So: Neither conclusion follows.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 39 + 3 × 3 − 2 ÷ 6?
Answer and working
Answer E
Replace the signs: 39 − 3 ÷ 3 × 2 + 6. Division and multiplication first, then addition and subtraction: 43.
-
Which number replaces the question mark? 4, 44, 6, 37, 8, 30, 10, ?
Answer and working
Answer A
The rule: two series alternate: 4, 6, 8 … rising by 2, and 44, 37, 30 … falling by 7. The missing term is 23.
-
In a certain code, GLASS is written as UUCNI. How is GARDEN written in that code?
Answer and working
Answer D
From GLASS → UUCNI: the word is written backwards and each letter moves 2 forward. Applied to GARDEN: PGFTCI.
-
Which one does not belong with the others?
Answer and working
Answer C
In the others the letters are 2 apart (PRT); in ACF the last gap is 3. The odd one is ACF.
-
In a certain code, RIBBON is written as TKDDQP. How is BRICK written in that code?
Answer and working
Answer B
From RIBBON → TKDDQP: each letter moves 2 places forward. Applied to BRICK: DTKEM.
-
In the English alphabet, which letter is 7th to the right of the 17th letter from the left?
Answer and working
Answer E
The 17th letter from the left is Q (position 17). 7 places to the right: position 24, which is X.
Part BQuantitative Aptitude
-
A boat covers 115 km downstream in 5 hours and 78 km upstream in 6 hours. What is the speed of the stream?
Answer and working
Answer B
Downstream speed = 115 ÷ 5 = 23 km/h; upstream = 78 ÷ 6 = 13 km/h. Stream = (23 − 13) ÷ 2 = 5 km/h.
-
Solve both equations and compare x and y.
I. x² − 4x − 96 = 0
II. y² − y − 12 = 0Answer and working
Answer E
I gives x = −8 or 12. II gives y = −3 or 4. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
The sum of the present ages of a father and his son is 39 years. 2 years ago, the father was 4 times as old as the son. How old is the son now?
Answer and working
Answer C
Let the son be s. Then (39 − s − 2) = 4(s − 2), so 45 = 5s and s = 9 years.
-
Solve both equations and compare x and y.
I. x² + 7x + 12 = 0
II. y² − 5y + 4 = 0Answer and working
Answer C
I gives x = −4 or −3. II gives y = 1 or 4. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 15, 63, 19, ?, 23, 49
Answer and working
Answer E
The rule: two series alternate: 15, 19, 23 … rising by 4, and 63, 56, 49 … falling by 7. The missing term is 56.
-
By selling a watch for ₹270, a man loses 25%. For how much should he sell it to gain 10%?
Answer and working
Answer A
CP = 270 × 100/75 = ₹360. For a 10% gain: 360 × 110/100 = ₹396.
-
What is the fourth proportional to 15, 23 and 120?
Answer and working
Answer C
15 : 23 = 120 : x, so x = 23 × 120 ÷ 15 = 184.
-
Solve both equations and compare x and y.
I. x² − 4x + 3 = 0
II. y² − 9y + 18 = 0Answer and working
Answer D
I gives x = 1 or 3. II gives y = 3 or 6. No x is greater than any y, and one value of each is equal: x ≤ y.
-
Two fair dice are thrown together. What is the probability that the sum is 7?
Answer and working
Answer B
There are 36 equally likely outcomes and 6 of them qualify. Probability = 1⁄6.
-
A train 290 m long crosses a platform 600 m long in 89 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 290 + 600 = 890 m in 89 s, so 10 m/s = 10 × 18/5 = 36 km/h.
-
What is the value of 96² − 34²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 130 × 62 = 8,060.
-
Find the wrong number in the series: 1, 3, 7, 19, 31, 63, 127
Answer and working
Answer C
The rule: each term is the previous × 2 + 1. The term in place of 19 should be 15, so the wrong number is 19.
-
84 litres of a mixture contains milk and water in the ratio 6 : 1. How much water must be added to make the ratio 3 : 1?
Answer and working
Answer D
Milk = 72 l, water = 12 l. For 3 : 1, water must be 72 × 1/3 = 24 l. Add 24 − 12 = 12 litres.
-
Ramesh can finish a piece of work in 80 days and Suresh can finish it in 48 days. Working together, how long will they take?
Answer and working
Answer B
In one day they do 1/80 + 1/48 = 1/30 of the work. Time = 80 × 48 ÷ (80 + 48) = 30 days.
-
What is 120% of 360?
Answer and working
Answer A
120% of 360 = 360 × 120/100 = 432.
Directions for questions 51 to 55
Study the table and answer the questions that follow.
Students enrolled in five coaching centres, in two successive years Centre Year 1 Year 2 Centre A 220 286 Centre B 560 700 Centre C 680 816 Centre D 420 525 Centre E 720 756 -
What is the ratio of Centre C’s Year 1 figure to Centre E’s Year 2 figure?
Answer and working
Answer D
680 : 756 = 170 : 189.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer D
Growth: Centre A 30%, Centre B 25%, Centre C 20%, Centre D 25%, Centre E 5%. The highest is Centre A.
-
By what percent did Centre B’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 700 − 560 = 140. On Year 1: 140 ÷ 560 × 100 = 25% increase.
-
Centre C’s Year 2 figure is what percent of Centre E’s Year 2 figure?
Answer and working
Answer B
816 ÷ 756 × 100 = 107.94%.
-
What is the total for Centre A over the two years?
Answer and working
Answer E
220 + 286 = 506.
-
What is the value of 59² − 29²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 88 × 30 = 2,640.
-
A sum of money at simple interest amounts to ₹13,860 in 4 years and to ₹16,380 in 7 years. What is the sum?
Answer and working
Answer C
Interest for 3 years = 16,380 − 13,860 = ₹2,520, so ₹840 a year. Interest for 4 years = ₹3,360. Sum = 13,860 − 3,360 = ₹10,500.
-
Which number replaces the question mark? 5, 10, 16, ?, 31, 40
Answer and working
Answer D
The rule: the differences grow by 1: 5, 6, 7, 8, 9, 10. The missing term is 23.
-
Simplify: 10 + 2 × 11 − 72 ÷ 6
Answer and working
Answer A
Division and multiplication first: 2 × 11 = 22 and 72 ÷ 6 = 12. Then 10 + 22 − 12 = 20.
-
What is the compound interest on ₹56,800 for 2 years at 5% per annum, compounded annually?
Answer and working
Answer B
Amount = 56,800 × (1 + 5/100)2 = ₹62,622. CI = 62,622 − 56,800 = ₹5,822.
-
A trader buys a bicycle for ₹1,900 and sells it for ₹2,090. What is the profit or loss percent?
Answer and working
Answer E
Profit = ₹190. As a percent of the cost price: 190 ÷ 1,900 × 100 = 10% profit.
-
Simplify: 5⁄6 + 2⁄3 + 1⁄2
Answer and working
Answer D
Over the common denominator 12: the sum is 2. Adding tops and bottoms separately (13/17) is the trap.
-
Solve both equations and compare x and y.
I. x² − 21x + 110 = 0
II. y² − 6y + 5 = 0Answer and working
Answer A
I gives x = 10 or 11. II gives y = 1 or 5. Every x is greater than every y: x > y.
-
Find the wrong number in the series: 24, 35, 50, 63, 80, 99, 120
Answer and working
Answer D
The rule: the terms are 5², 6², 7² … minus 1. The term in place of 50 should be 48, so the wrong number is 50.
-
The average of 6 numbers is 80. When one number is removed, the average of the rest is 81. Which number was removed?
Answer and working
Answer C
Total of 6 = 6 × 80 = 480. Total of 5 = 5 × 81 = 405. Removed = 480 − 405 = 75.
-
Simplify: 16 + 7 × 11 − 6 ÷ 2
Answer and working
Answer A
Division and multiplication first: 7 × 11 = 77 and 6 ÷ 2 = 3. Then 16 + 77 − 3 = 90.
-
Which number replaces the question mark? 27, 38, 51, 66, 83, 102, ?
Answer and working
Answer C
The rule: the terms are 5², 6², 7² … plus 2. The missing term is 123.
-
Solve both equations and compare x and y.
I. x² − 12x + 20 = 0
II. y² − 9y + 18 = 0Answer and working
Answer E
I gives x = 2 or 10. II gives y = 3 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
A school’s enrolment goes from 240 to 360. What is the percentage increase?
Answer and working
Answer A
Change = 120. On the original value: 120 ÷ 240 × 100 = 50%, a 50% increase. Dividing by the new value, 360, is the usual slip.
-
A scooter runs at 108 km/h. What is its speed in metres per second?
Answer and working
Answer E
Multiply by 5/18: 108 × 5/18 = 30 m/s.
Part CEnglish Language with special emphasis on grammar, vocabulary and comprehension
-
Select the word closest in meaning to the given word.
NonchalantAnswer and working
Answer B
Nonchalant (adjective) and Casual share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
DampAnswer and working
Answer C
Damp (adjective) and Moist 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.
Traveler who moves from one region or country to anotherAnswer and working
-
Select the word opposite in meaning to the given word.
GenuineAnswer and working
-
Select the word closest in meaning to the given word.
WindyAnswer and working
Answer B
Windy (adjective) and Breezy share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the correctly spelt word.
Answer and working
Answer E
The correct spelling is subsidiary.
-
Select the incorrectly spelt word.
Answer and working
Answer E
disirray is wrong; it is spelt disarray. The others are correct.
-
Select the word closest in meaning to the given word.
WriggleAnswer and working
Answer B
Wriggle (noun) and Squirm 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.
A man who performs feats of strength at a fair or circusAnswer and working
-
Select the word opposite in meaning to the given word.
LenderAnswer and working
-
Select the one word that can replace the given group of words.
A professional boxer who weighs between 155 and 160 poundsAnswer and working
Answer E
Middleweight: a professional boxer who weighs between 155 and 160 pounds.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
PurgeAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is locally.
-
Select the incorrectly spelt word.
Answer and working
Answer D
preliminery is wrong; it is spelt preliminary. The others are correct.
-
Select the incorrectly spelt word.
Answer and working
Answer D
documantary is wrong; it is spelt documentary. The others are correct.
-
Select the word opposite in meaning to the given word.
StingyAnswer and working
-
Select the one word that can replace the given group of words.
A fluent and prolific writerAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is collision.
-
Select the word closest in meaning to the given word.
JumboAnswer and working
Answer B
Jumbo (adjective) and Giant 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.
Executive who is very successful in bringing in business to his company or firmAnswer and working
Answer D
Rainmaker: executive who is very successful in bringing in business to his company or firm.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
PessimistAnswer and working
-
Select the word closest in meaning to the given word.
PresumeAnswer and working
Answer E
Presume (verb) and Assume share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer A
imiginary is wrong; it is spelt imaginary. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer D
The correct spelling is hierarchy.
-
Select the word opposite in meaning to the given word.
LowerAnswer and working
-
Select the word closest in meaning to the given word.
AggravateAnswer and working
Answer B
Aggravate (verb) and Worsen 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.
A worker who rouses wild game from under cover for a hunterAnswer and working
-
Select the word closest in meaning to the given word.
PrecedenceAnswer and working
Answer D
Precedence (noun) and Priority share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer E
dietery is wrong; it is spelt dietary. The others are correct.
-
Select the word closest in meaning to the given word.
MatrimonialAnswer and working
Answer D
Matrimonial (adjective) and Marital share their main meaning. None of the other options does.
Source: WordNet 3.1