- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9608041
- Series
- D
LIC AAO Prelims Paper 2
- 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
-
Statements:
(1) All flowers are kites.
(2) No doors are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are doors.
(II) No kites are doors.Answer and working
Answer C
Conclusion I need not hold: kites and doors need not overlap at all. Conclusion II need not hold: kites and doors may overlap. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In the English alphabet, which letter is 8th to the right of the 18th letter from the left?
Answer and working
Answer A
The 18th letter from the left is R (position 18). 8 places to the right: position 26, which is Z.
-
Statement: Z > S < P > F ≤ E
Conclusions: I. F ≥ Z II. Z < PAnswer and working
Answer D
F and Z: the signs between them point both ways, so no relation can be fixed, so F ≥ Z is not definitely true. Z and P: the signs between them point both ways, so no relation can be fixed, so Z < P is not definitely true. So: Neither conclusion follows.
-
Statement: U > N ≤ D > G ≥ V
Conclusions: I. N < V II. V < DAnswer and working
Answer B
N and V: the signs between them point both ways, so no relation can be fixed, so N < V is not definitely true. V and D: the chain gives V < D, so V < D is definitely true. So: Only conclusion II follows.
-
Meera walks 2 km towards the west. She turns left and walks 14 km. She turns right and walks 7 km. She turns right and walks 3 km. Which direction is she facing now?
Answer and working
Answer E
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs North.
Directions for questions 6 to 10
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Farhan sits somewhere to the right of Chetan. Divya and Arun sit next to each other. Gopal sits third to the right of Esha. Exactly 3 people sit between Bina and Arun. Esha sits second to the right of Divya.-
Who sits at the extreme left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Divya, Chetan, Esha, Bina, Farhan, Gopal. Arun.
-
Who sits at the extreme right end?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Divya, Chetan, Esha, Bina, Farhan, Gopal. Gopal.
-
How many people sit between Esha and Arun?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Divya, Chetan, Esha, Bina, Farhan, Gopal. Between them: 2.
-
Who sits second to the right of Bina?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Divya, Chetan, Esha, Bina, Farhan, Gopal. Gopal.
-
Who sits exactly between Divya and Esha?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Divya, Chetan, Esha, Bina, Farhan, Gopal. Chetan.
-
In the English alphabet, which letter is 8th to the right of the 12th letter from the left?
Answer and working
Answer C
The 12th letter from the left is L (position 12). 8 places to the right: position 20, which is T.
-
In a row of 42 students, Ravi is 31st from the left. What is Ravi’s position from the right?
Answer and working
Answer E
Position from the right = total − position from the left + 1 = 42 − 31 + 1 = 12th.
-
In a certain code, STONE is written as QRMLC. How is MILK written in that code?
Answer and working
Answer B
From STONE → QRMLC: each letter moves 2 places back. Applied to MILK: KGJI.
-
Find the wrong number in the series: 19, 20, 24, 33, 61, 74, 110
Answer and working
Answer C
The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The term in place of 61 should be 49, so the wrong number is 61.
-
N is the mother of E. Y is the sister of N. How is Y related to E?
Answer and working
Answer D
Follow the links out from E: N is E’s mother; Y is N’s sister. So Y is E’s aunt.
-
Statements:
(1) Some papers are buses.
(2) Some papers are cups.
(3) Some bells are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No papers are bells.
(II) Some papers are bells.Answer and working
Answer C
Conclusion I need not hold: papers and bells may overlap. Conclusion II need not hold: papers and bells need not overlap at all. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Statement: Q ≤ B ≥ A > U ≥ W
Conclusions: I. Q < U II. B < WAnswer and working
Answer D
Q and U: the signs between them point both ways, so no relation can be fixed, so Q < U is not definitely true. B and W: the chain gives B > W, so B < W is not definitely true. So: Neither conclusion follows.
-
In a certain code, ROAD is written as SPBE. How is COPPER written in that code?
Answer and working
Answer C
From ROAD → SPBE: each letter moves 1 place forward. Applied to COPPER: DPQQFS.
-
Statements:
(1) All papers are pens.
(2) All lamps are pens.
(3) All leaves are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some lamps are not papers.
(II) No leaves are papers.Answer and working
Answer D
Conclusion I need not hold: every one of the lamps may be papers. Conclusion II need not hold: leaves and papers may overlap. So: Neither conclusion follows.
-
Pointing to a woman in a photograph, Lata said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Lata?
Answer and working
Answer A
My father’s mother’s only daughter is my father’s sister. So the woman is Lata’s aunt.
-
Statements:
(1) All cups are leaves.
(2) No lamps are cups.
(3) No flowers are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No lamps are leaves.
(II) Some lamps are not cups.Answer and working
Answer B
Conclusion I need not hold: lamps and leaves may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 51 − 8 + 6 ÷ 4 × 8?
Answer and working
Answer C
Replace the signs: 51 × 8 ÷ 6 − 4 + 8. Division and multiplication first, then addition and subtraction: 72.
-
Which one does not belong with the others?
Answer and working
Answer A
1331, 1000, 512, 125 are cubes; 196 is a square, not a cube. The odd one is 196.
-
Rekha walks 4 km towards the south. She turns left and walks 13 km. She turns right and walks 13 km. She turns left and walks 3 km. She turns left and walks 5 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer D
Taking east and north as positive: she ends 16 km east and 12 km south of the start. Distance = √(16² + 12²) = 20 km. 20 km, south-east.
-
In a certain code, COAT is written as DPBU. How is WINDOW written in that code?
Answer and working
Answer B
From COAT → DPBU: each letter moves 1 place forward. Applied to WINDOW: XJOEPX.
-
Which number replaces the question mark? 2, 55, 8, 52, 14, 49, 20, ?
Answer and working
Answer A
The rule: two series alternate: 2, 8, 14 … rising by 6, and 55, 52, 49 … falling by 3. The missing term is 46.
-
Vijay walks 10 km towards the west. He turns right and walks 13 km. He turns right and walks 4 km. He turns left and walks 2 km. He turns right and walks 14 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer B
Taking east and north as positive: he ends 8 km east and 15 km north of the start. Distance = √(8² + 15²) = 17 km. 17 km, north-east.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 40 − 10 × 10 ÷ 9 + 4?
Answer and working
Answer B
Replace the signs: 40 ÷ 10 + 10 × 9 − 4. Division and multiplication first, then addition and subtraction: 90.
-
F is the sister of G. B is the son of F. How is B related to G?
Answer and working
Answer A
Follow the links out from G: F is G’s sister; B is F’s son. So B is G’s nephew.
-
Statements:
(1) No papers are clouds.
(2) Some bags are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are not papers.
(II) No clouds are papers.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: A ≥ C < E ≤ Y < M
Conclusions: I. C ≤ Y II. A = YAnswer and working
Answer A
C and Y: the chain gives C < Y, so C ≤ Y is definitely true. A and Y: the signs between them point both ways, so no relation can be fixed, so A = Y is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) Some planes are not cups.
(2) Some cups are not bells.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All cups are planes.
(II) Some cups are not planes.Answer and working
Answer C
Conclusion I need not hold: some cups may lie outside planes. Conclusion II need not hold: every one of the cups may be planes. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In a row of 52 students, Ravi is 13th from the left. What is Ravi’s position from the right?
Answer and working
Answer C
Position from the right = total − position from the left + 1 = 52 − 13 + 1 = 40th.
-
Statement: H ≤ R = Z ≤ P ≤ X
Conclusions: I. R < P II. R = PAnswer and working
Answer C
R and P: the chain gives R ≤ P, so R < P is not definitely true. R and P: the chain gives R ≤ P, so R = P is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a certain code, GLASS is written as TOZHH. How is COPPER written in that code?
Answer and working
Answer E
From GLASS → TOZHH: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to COPPER: XLKKVI.
Part BQuantitative Aptitude
-
A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer D
The interest earned is 1 times the principal in 10 years. Rate = 1 × 100 / 10 = 10%.
-
The sum of the present ages of a father and his son is 55 years. 3 years ago, the father was 6 times as old as the son. How old is the son now?
Answer and working
Answer C
Let the son be s. Then (55 − s − 3) = 6(s − 3), so 70 = 7s and s = 10 years.
-
The average weight of 10 people goes up by 2.5 kg when a new person takes the place of one who weighs 62 kg. What does the new person weigh?
Answer and working
Answer B
The total rises by 10 × 2.5 = 25 kg, so the new person weighs 62 + 25 = 87 kg.
-
In what ratio must rice at ₹53/kg be mixed with rice at ₹88/kg so that the mixture is worth ₹68/kg?
Answer and working
Answer E
By alligation: cheaper : dearer = (88 − 68) : (68 − 53) = 20 : 15 = 4 : 3.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
The population of a town is 64,275. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer D
64,275 × (1 + 20/100)² = 64,275 × 1.44 = 92,556. Growing 20% on 64,275 twice, not 40% once.
-
Solve both equations and compare x and y.
I. x² − 7x − 8 = 0
II. y² + 3y + 2 = 0Answer and working
Answer B
I gives x = −1 or 8. II gives y = −2 or −1. No x is smaller than any y, and one value of each is equal: x ≥ y.
-
Two trains 290 m and 130 m long run on parallel tracks in opposite directions at 50 km/h and 76 km/h. How long do they take to cross each other?
Answer and working
Answer B
Relative speed = 50 + 76 = 126 km/h = 35 m/s. Distance = 290 + 130 = 420 m. Time = 420 ÷ 35 = 12 seconds.
-
Solve both equations and compare x and y.
I. x² − x − 6 = 0
II. y² + 2y = 0Answer and working
Answer E
I gives x = −2 or 3. II gives y = −2 or 0. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Which number replaces the question mark? 6, 12, 24, 48, ?, 192
Answer and working
Answer C
The rule: each term is the previous × 2. The missing term is 96.
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a number card from 2 to 10 of diamonds?
Answer and working
Answer D
9 of the 52 cards qualify. Probability = 9⁄52.
-
What is 150% of 1,180?
Answer and working
Answer D
150% of 1,180 = 1,180 × 150/100 = 1,770.
-
What is the value of 52² − 39²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 91 × 13 = 1,183.
-
Simplify: 28 + 2 × 11 − 4 ÷ 2
Answer and working
Answer D
Division and multiplication first: 2 × 11 = 22 and 4 ÷ 2 = 2. Then 28 + 22 − 2 = 48.
-
What is the difference between the compound interest and the simple interest on ₹37,750 for 2 years at 20% per annum?
Answer and working
Answer A
For 2 years, CI − SI = P × (R/100)² = 37,750 × (20/100)² = ₹1,510.
Directions for questions 51 to 55
Study the table and answer the questions that follow.
Bicycles sold by five shops, in two successive years Shop Year 1 Year 2 Shop P 440 396 Shop Q 260 312 Shop R 500 650 Shop S 260 208 Shop T 420 441 -
What is the ratio of Shop T’s Year 1 figure to Shop S’s Year 2 figure?
Answer and working
Answer A
420 : 208 = 105 : 52.
-
Shop Q’s Year 2 figure is what percent of Shop R’s Year 2 figure?
Answer and working
Answer C
312 ÷ 650 × 100 = 48%.
-
What is the average Year 2 figure of the five?
Answer and working
Answer A
Sum of Year 2 = 2,007. ÷ 5 = 401.4.
-
What is the total for Shop T over the two years?
Answer and working
Answer E
420 + 441 = 861.
-
By what percent did Shop R’s figure change from Year 1 to Year 2?
Answer and working
Answer A
Change = 650 − 500 = 150. On Year 1: 150 ÷ 500 × 100 = 30% increase.
-
By selling a watch for ₹825, a man loses 25%. For how much should he sell it to gain 12%?
Answer and working
Answer D
CP = 825 × 100/75 = ₹1,100. For a 12% gain: 1,100 × 112/100 = ₹1,232.
-
Solve both equations and compare x and y.
I. x² − 21x + 108 = 0
II. y² − 49 = 0Answer and working
Answer A
I gives x = 9 or 12. II gives y = −7 or 7. Every x is greater than every y: x > y.
-
Find the wrong number in the series: 8, 17, 35, 67, 143, 287, 575
Answer and working
Answer C
The rule: each term is the previous × 2 + 1. The term in place of 67 should be 71, so the wrong number is 67.
-
What is √784 + √225 − √729?
Answer and working
Answer E
28 + 15 − 27 = 16.
-
Solve both equations and compare x and y.
I. x² + 3x − 28 = 0
II. y² − 17y + 72 = 0Answer and working
Answer C
I gives x = −7 or 4. II gives y = 8 or 9. Every x is smaller than every y: x < y.
-
A is twice as efficient as B. Together they finish a job in 8 days. How long would A take alone?
Answer and working
Answer D
If B does 1 unit a day, A does 2; together 3 units a day for 8 days = 24 units. A alone: 24 ÷ 2 = 12 days.
-
₹11,040 is divided among Amit, Bina and Chetan in the ratio 1 : 3 : 4. What is Amit’s share?
Answer and working
Answer C
Total parts = 1 + 3 + 4 = 8. Amit gets 1/8 × 11,040 = ₹1,380.
-
What is √225 + √784 − √324?
Answer and working
Answer C
15 + 28 − 18 = 25.
-
Two successive discounts of 10% and 20% are equal to a single discount of:
Answer and working
Answer A
Single discount = 10 + 20 − (10 × 20)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Which number replaces the question mark? 1, 8, 27, ?, 125, 216
Answer and working
Answer B
The rule: the terms are 1³, 2³, 3³ …. The missing term is 64.
-
A train 180 m long crosses a platform 300 m long in 24 seconds. What is the speed of the train?
Answer and working
Answer B
It must cover its own length and the platform: 180 + 300 = 480 m in 24 s, so 20 m/s = 20 × 18/5 = 72 km/h.
-
Solve both equations and compare x and y.
I. x² − 13x + 22 = 0
II. y² + y − 72 = 0Answer and working
Answer E
I gives x = 2 or 11. II gives y = −9 or 8. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
A boat covers 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 76 ÷ 4 = 19 km/h; upstream = 44 ÷ 4 = 11 km/h. Boat = (19 + 11) ÷ 2 = 15 km/h.
-
What is the value of 81² − 38²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 119 × 43 = 5,117.
-
Which number replaces the question mark? 16, 59, 18, 53, 20, 47, 22, ?
Answer and working
Answer C
The rule: two series alternate: 16, 18, 20 … rising by 2, and 59, 53, 47 … falling by 6. The missing term is 41.
Part CEnglish Language with special emphasis on grammar, vocabulary and comprehension
-
Select the incorrectly spelt word.
Answer and working
Answer B
unusualy is wrong; it is spelt unusually. The others are correct.
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is aberration.
-
Select the word opposite in meaning to the given word.
WinnerAnswer and working
Answer B
The opposite of winner is Loser. Victor is the trap: it means the same, not the opposite.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ForsakeAnswer and working
Answer A
Forsake (verb) and Desert share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ExpensiveAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer B
The correct spelling is theoretically.
-
Select the correctly spelt word.
Answer and working
Answer A
The correct spelling is acceptance.
-
Select the word closest in meaning to the given word.
PeskyAnswer and working
Answer B
Pesky (adjective) and Bothersome 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 vaccination.
-
Select the word opposite in meaning to the given word.
BackwardAnswer and working
-
Select the correctly spelt word.
Answer and working
Answer C
The correct spelling is eternally.
-
Select the word opposite in meaning to the given word.
AffirmAnswer and working
Answer B
The opposite of affirm is Negate. Corroborate is the trap: it means the same, not the opposite.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
TierAnswer and working
Answer C
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.
Someone who owns a homeAnswer and working
-
Select the one word that can replace the given group of words.
Someone who travels about selling his waresAnswer and working
-
Select the word closest in meaning to the given word.
DecryptAnswer and working
Answer B
Decrypt (verb) and Decipher share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
ExpandAnswer and working
-
Select the word closest in meaning to the given word.
SloganAnswer and working
Answer B
Slogan (noun) and Motto 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 person who is devoted to eating and drinking to excessAnswer and working
-
Select the word closest in meaning to the given word.
MaritimeAnswer and working
Answer D
Maritime (adjective) and Nautical share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer B
monetery is wrong; it is spelt monetary. The others are correct.
-
Select the one word that can replace the given group of words.
A defensive football player who takes a position close behind the linemenAnswer and working
Answer C
Linebacker: a defensive football player who takes a position close behind the linemen.
Source: WordNet 3.1
-
Select the word opposite in meaning to the given word.
RejectAnswer and working
-
Select the word closest in meaning to the given word.
RancorAnswer and working
Answer D
Rancor (noun) and Resentment share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the word closest in meaning to the given word.
ScrapAnswer and working
Answer B
Scrap (verb) and Trash 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 writes playsAnswer and working
-
Select the one word that can replace the given group of words.
A secretary immediately subordinate to the head of a department of governmentAnswer and working
Answer A
Undersecretary: a secretary immediately subordinate to the head of a department of government.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer E
asserteve is wrong; it is spelt assertive. The others are correct.
-
Select the word closest in meaning to the given word.
ImitateAnswer and working
Answer C
Imitate (verb) and Copy share their main meaning. None of the other options does.
Source: WordNet 3.1
-
Select the incorrectly spelt word.
Answer and working
Answer A
momantary is wrong; it is spelt momentary. The others are correct.