Test booklet: प्रश्न पुस्तिका
Booklet No.: 5867763
Series: D

NIACL AO Prelims Paper 5

Questions: 100
Maximum marks: 100
Minutes allowed: 60

Instructions निर्देश

This booklet has 100 questions in 3 parts: A. English Language (30), B. Reasoning Ability (35), C. Quantitative Aptitude (35).
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 0.25. 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 CQuantitative Aptitude

35 questions, 1 mark each, 0.25 off for a wrong answer

81 litres of a mixture contains milk and water in the ratio 5 : 4. How much water must be added to make the ratio 5 : 6?

Question 66 18 litres 20 litres 54 litres 9 litres 16 litres

Answer and working
Answer A
Milk = 45 l, water = 36 l. For 5 : 6, water must be 45 × 6/5 = 54 l. Add 54 − 36 = 18 litres.
A train 210 m long passes a signal post in 6 seconds. What is its speed in km/h?

Question 67 126 km/h 144 km/h 135 km/h 35 km/h 108 km/h

Answer and working
Answer A
Speed = 210 ÷ 6 = 35 m/s = 35 × 18/5 = 126 km/h.
Directions for questions 68 to 72
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 680 850
Shop Q 560 840
Shop R 760 1,064
Shop S 760 798
Shop T 380 570
Shop P’s Year 2 figure is what percent of Shop Q’s Year 2 figure?

Question 68 98.82% 101.19% 121.43% 91.19% 111.19%

Answer and working
Answer B
850 ÷ 840 × 100 = 101.19%.
By what percent did Shop S’s figure change from Year 1 to Year 2?

Question 69 0% increase 5% decrease 4.76% increase 10% increase 5% increase

Answer and working
Answer E
Change = 798 − 760 = 38. On Year 1: 38 ÷ 760 × 100 = 5% increase.
What is the total for Shop Q over the two years?

Question 70 1,680 1,420 1,400 1,410 1,380

Answer and working
Answer C
560 + 840 = 1,400.
What is the ratio of Shop Q’s Year 1 figure to Shop S’s Year 2 figure?

Question 71 20 : 19 40 : 57 57 : 40 21 : 19 14 : 19

Answer and working
Answer B
560 : 798 = 40 : 57.
What is the average Year 2 figure of the five?

Question 72 824.4 834.4 628 726.2 814.4

Answer and working
Answer A
Sum of Year 2 = 4,122. ÷ 5 = 824.4.
Which number replaces the question mark? 4, 5, 12, 39, 160, ?

Question 73 805 804 281 806 1,450

Answer and working
Answer A
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 805.
The present ages of Asha and her father are in the ratio 2 : 7. After 3 years, the ratio will be 1 : 3. What is Asha’s present age?

Question 74 42 years 15 years 6 years 9 years 12 years

Answer and working
Answer E
Ages 2x and 7x. (2x + 3) : (7x + 3) = 1 : 3 gives x = 6. Asha is 2 × 6 = 12 years.
Simplify: 18 + 9 × 11 − 20 ÷ 4

Question 75 69 292 116 112 122

Answer and working
Answer D
Division and multiplication first: 9 × 11 = 99 and 20 ÷ 4 = 5. Then 18 + 99 − 5 = 112.
Which number replaces the question mark? 20, 49, 25, 43, 30, 37, 35, ?

Question 76 32 31 30 33 27

Answer and working
Answer B
The rule: two series alternate: 20, 25, 30 … rising by 5, and 49, 43, 37 … falling by 6. The missing term is 31.
What is the compound interest on ₹11,875 for 2 years at 4% per annum, compounded annually?

Question 77 ₹969 ₹1,444 ₹12,844 ₹950 ₹475

Answer and working
Answer A
Amount = 11,875 × (1 + 4/100)² = ₹12,844. CI = 12,844 − 11,875 = ₹969.
Two fair dice are thrown together. What is the probability that the sum is a prime number?

Question 78 ³⁄₇ ⁵⁄₁₂ ⁴⁄₉ ⁷⁄₁₅ ⁷⁄₁₂

Answer and working
Answer B
There are 36 equally likely outcomes and 15 of them qualify. Probability = ⁵⁄₁₂.
The simple interest on a sum for 4 years at 6% per annum is ₹2,760. What is the sum?

Question 79 ₹8,740 ₹9,200 ₹662 ₹11,500 ₹14,260

Answer and working
Answer D
P = SI × 100 / (R × T) = 2,760 × 100 / (6 × 4) = ₹11,500.
The population of a town is 32,800. It grows by 5% every year. What will it be after 2 years?

Question 80 36,162 37,066 36,080 34,440 34,354

Answer and working
Answer A
32,800 × (1 + 5/100)² = 32,800 × 1.1 = 36,162. Growing 5% on 32,800 twice, not 10% once.
Solve both equations and compare x and y.
I. x² − 15x + 36 = 0
II. y² − 2y − 3 = 0

Question 81 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer B
I gives x = 3 or 12. II gives y = −1 or 3. No x is smaller than any y, and one value of each is equal: x ≥ y.
Solve both equations and compare x and y.
I. x² − 13x + 36 = 0
II. y² − 13y + 42 = 0

Question 82 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = 4 or 9. II gives y = 6 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
Solve both equations and compare x and y.
I. x² − 6x + 8 = 0
II. y² − 12y + 32 = 0

Question 83 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer D
I gives x = 2 or 4. II gives y = 4 or 8. No x is greater than any y, and one value of each is equal: x ≤ y.
Simplify: ³⁄₄ + ¹⁄₂ + ¹⁄₄

Question 84 ⁵⁄₃ 1 ⁶⁄₁₁ ³⁄₂ 2

Answer and working
Answer D
Over the common denominator 40: the sum is ³⁄₂. Adding tops and bottoms separately (12/22) is the trap.
What is √400 + √900 − √324?

Question 85 30 32 34 31 8

Answer and working
Answer B
20 + 30 − 18 = 32.
What is the value of 71² − 55²?

Question 86 1,906 256 2,016 2,116 15,624

Answer and working
Answer C
a² − b² = (a + b)(a − b) = 126 × 16 = 2,016.
Solve both equations and compare x and y.
I. x² − 16x + 55 = 0
II. y² + 14y + 45 = 0

Question 87 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer A
I gives x = 5 or 11. II gives y = −9 or −5. Every x is greater than every y: x > y.
A trader buys a bicycle for ₹450 and sells it for ₹405. What is the profit or loss percent?

Question 88 10% profit 8% loss 10% loss 11.11% loss 15% loss

Answer and working
Answer C
Loss = ₹45. As a percent of the cost price: 45 ÷ 450 × 100 = 10% loss.
A shopkeeper marks his goods 50% above the cost price and allows a discount of 25%. What is his profit or loss percent?

Question 89 17.5% profit 25% profit 12.5% profit 12.5% loss 75% profit

Answer and working
Answer C
Take CP = 100. Marked price = 150. After 25% off: 150 × 75/100 = 112.5. So 12.5% profit.
A and B together can do a job in 30 days. A alone can do it in 45 days. In how many days can B alone do it?

Question 90 90 days 60 days 75 days 120 days 45 days

Answer and working
Answer A
B’s one day = 1/30 − 1/45 = 1/90. B alone takes 90 days.
Find the wrong number in the series: 10, 44, 12, 39, 14, 36, 16, 29

Question 91 10 29 12 44 36

Answer and working
Answer E
The rule: two series alternate: 10, 12, 14 … rising by 2, and 44, 39, 34 … falling by 5. The term in place of 36 should be 34, so the wrong number is 36.
What is the value of 62² − 52²?

Question 92 100 1,036 1,140 12,768 1,240

Answer and working
Answer C
a² − b² = (a + b)(a − b) = 114 × 10 = 1,140.
What is 150% of 1,620?

Question 93 2,511 2,673 2,349 2,430 243

Answer and working
Answer D
150% of 1,620 = 1,620 × 150/100 = 2,430.
Which number replaces the question mark? 5, 10, 17, 26, 37, 50, ?

Question 94 66 80 64 63 65

Answer and working
Answer E
The rule: the differences grow by 2: 5, 7, 9, 11, 13, 15. The missing term is 65.
Solve both equations and compare x and y.
I. x² − 2x − 24 = 0
II. y² + 3y − 54 = 0

Question 95 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = −4 or 6. II gives y = −9 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 bus goes from Pune to Nashik at 30 km/h and returns by the same road at 60 km/h. What is its average speed for the whole journey?

Question 96 38 km/h 42 km/h 49 km/h 45 km/h 40 km/h

Answer and working
Answer E
For equal distances, average speed = 2xy/(x + y) = 2 × 30 × 60 ÷ 90 = 40 km/h. The plain average, 45, ignores that the slower leg takes longer.
The average of 10 numbers is 62. When one number is removed, the average of the rest is 60. Which number was removed?

Question 97 80 82 20 60 62

Answer and working
Answer A
Total of 10 = 10 × 62 = 620. Total of 9 = 9 × 60 = 540. Removed = 620 − 540 = 80.
If A : B = 1 : 9 and B : C = 5 : 8, what is A : B : C?

Question 98 8 : 45 : 72 1 : 9 : 8 5 : 45 : 72 45 : 5 : 72 5 : 72 : 40

Answer and working
Answer C
Make B the same in both: A : B = 5 : 45 and B : C = 45 : 72. So A : B : C = 5 : 45 : 72.
Which number replaces the question mark? 23, 29, 31, 37, 41, 43, ?

Question 99 47 45 48 51 46

Answer and working
Answer A
The rule: consecutive prime numbers. The missing term is 47.
A boat covers 32 km downstream in 4 hours and 18 km upstream in 3 hours. What is the speed of the stream?

Question 100 2 km/h 1 km/h 7 km/h 4 km/h 3 km/h

Answer and working
Answer B
Downstream speed = 32 ÷ 4 = 8 km/h; upstream = 18 ÷ 3 = 6 km/h. Stream = (8 − 6) ÷ 2 = 1 km/h.

NIACL AO Prelims Paper 5

Instructions निर्देश

Part AEnglish Language

Part BReasoning Ability

Part CQuantitative Aptitude

Shop	Year 1	Year 2
Shop P	680	850
Shop Q	560	840
Shop R	760	1,064
Shop S	760	798
Shop T	380	570