The following table provides information regarding employees of company X and Company Y in 4 different cities. Study it carefully and answer the following questions.
City | Company X Total employees | Company X Male : Female | Company Y Total employees | Company Y Male : Female
Delhi | 760 | 11:8 | 810 | 4:5
Chennai | 450 | 2:3 | 680 | 8:9
Chandigarh | 560 | 5:3 | 620 | 17:14
Kolkata | 640 | 9:7 | 720 | 11:7
What is the ratio the no. of females in Delhi in company X to the no. of females in Kolkata in the same Company ?
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Answer: (C) 8:7
Explanation
Number of female employees in Delhi in Company X = 760 × (8 / 19) = 320.
Number of female employees in Kolkata in Company X = 640 × (7 / 16) = 280.
Ratio of female employees in Delhi to Kolkata in Company X = 320 : 280 = 8 : 7.
52Numerical Ability
The following table provides information regarding employees of company X and Company Y in 4 different cities. Study it carefully and answer the following questions.
City | Company X Total employees | Company X Male : Female | Company Y Total employees | Company Y Male : Female
Delhi | 760 | 11:8 | 810 | 4:5
Chennai | 450 | 2:3 | 680 | 8:9
Chandigarh | 560 | 5:3 | 620 | 17:14
Kolkata | 640 | 9:7 | 720 | 11:7
What is the total no. of females in company Y in all 4 cities together?
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Answer: (A) 1370
Explanation
Number of female employees in Company Y across the four cities:
Delhi = 810 × (5 / 9) = 450
Chennai = 680 × (9 / 17) = 360
Chandigarh = 620 × (14 / 31) = 280
Kolkata = 720 × (7 / 18) = 280
Total female employees in Company Y = 450 + 360 + 280 + 280 = 1370.
53Numerical Ability
The following table provides information regarding employees of company X and Company Y in 4 different cities. Study it carefully and answer the following questions.
City | Company X Total employees | Company X Male : Female | Company Y Total employees | Company Y Male : Female
Delhi | 760 | 11:8 | 810 | 4:5
Chennai | 450 | 2:3 | 680 | 8:9
Chandigarh | 560 | 5:3 | 620 | 17:14
Kolkata | 640 | 9:7 | 720 | 11:7
The no. of males in Company Y in Delhi and Chennai Together is approximately what percent of the no. of females in Company X in Chandigarh and Kolkata?
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Answer: (C) 139%
Explanation
Total male employees in Company Y for Delhi and Chennai:
Delhi = 810 × (4 / 9) = 360
Chennai = 680 × (8 / 17) = 320
Total males = 360 + 320 = 680.
Total female employees in Company X for Chandigarh and Kolkata:
Chandigarh = 560 × (3 / 8) = 210
Kolkata = 640 × (7 / 16) = 280
Total females = 210 + 280 = 490.
Percentage = (680 / 490) × 100% ≈ 138.78% ≈ 139%.
54Numerical Ability
The following table provides information regarding employees of company X and Company Y in 4 different cities. Study it carefully and answer the following questions.
City | Company X Total employees | Company X Male : Female | Company Y Total employees | Company Y Male : Female
Delhi | 760 | 11:8 | 810 | 4:5
Chennai | 450 | 2:3 | 680 | 8:9
Chandigarh | 560 | 5:3 | 620 | 17:14
Kolkata | 640 | 9:7 | 720 | 11:7
Total males in company Y is approximately what percent of total employees in company Y?
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Answer: (B) 52%
Explanation
Total male employees in Company Y across all cities:
Delhi = 810 × (4 / 9) = 360
Chennai = 680 × (8 / 17) = 320
Chandigarh = 620 × (17 / 31) = 340
Kolkata = 720 × (11 / 18) = 440
Total males = 360 + 320 + 340 + 440 = 1460.
Total employees in Company Y across all cities = 810 + 680 + 620 + 720 = 2830.
Percentage = (1460 / 2830) × 100% ≈ 51.59% ≈ 52%.
55Numerical Ability
The following table provides information regarding employees of company X and Company Y in 4 different cities. Study it carefully and answer the following questions.
City | Company X Total employees | Company X Male : Female | Company Y Total employees | Company Y Male : Female
Delhi | 760 | 11:8 | 810 | 4:5
Chennai | 450 | 2:3 | 680 | 8:9
Chandigarh | 560 | 5:3 | 620 | 17:14
Kolkata | 640 | 9:7 | 720 | 11:7
In how many cities the no. of females in company Y are more than no. of females in company X?
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Answer: (D) 3
Explanation
Comparing female employees in Company X and Company Y by city:
Delhi: Company X = 320, Company Y = 450 (Y > X)
Chennai: Company X = 270, Company Y = 360 (Y > X)
Chandigarh: Company X = 210, Company Y = 280 (Y > X)
Kolkata: Company X = 280, Company Y = 280 (Y = X)
The number of females in Company Y is greater than in Company X in 3 cities.
56Numerical Ability
Due to demonetization of 500 Rs. and 1000 Rs. note, following rules are applicable to the people in the country —
Category | Max Credit Limit per day in a Bank | Max Withdrawal limit per day from Bank | % Penalty on Tax collected by govt
Senior Citizen | 2,50,000 Rs. | 40,000 Rs | 30%
Male | 5,00,000 Rs. | 65,000 Rs. | 55%
Female | 5,00,000 Rs. | 50,000 Rs. | 45%
Children | 10,00,00 Rs. | 10,000 Rs | 20%
Following age group will be applicable-
1. 0 - 8 years old -> children
2. 9 - 45 Male / Female
3. > 45 senior citizen
Note- Following tax slabs will be applicable-
1. No tax -> 0 - 250000 Rs.
2. 10% -> 250000 - 500000 Rs.
3. 20% -> 500000 - 1000000 Rs.
4. 30% -> > 1000000 Rs.
Babu, 56 years old has 5 crore black money. How much money (in crores) will he get after giving tax to the govt. and penalty on it?
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Answer: (B) 3.05
Explanation
For an amount exceeding 10,00,000 Rs., tax rate = 30%.
Tax on 5 crore = 30% of 5,00,00,000 = 1,50,00,000 Rs. (1.5 crore).
Babu (age 56) is a Senior Citizen, so penalty on tax = 30%.
Penalty = 30% of 1,50,00,000 = 45,00,000 Rs. (0.45 crore).
Total tax and penalty deduction = 1.5 + 0.45 = 1.95 crore.
Remaining money = 5 - 1.95 = 3.05 crore.
57Numerical Ability
Due to demonetization of 500 Rs. and 1000 Rs. note, following rules are applicable to the people in the country —
Category | Max Credit Limit per day in a Bank | Max Withdrawal limit per day from Bank | % Penalty on Tax collected by govt
Senior Citizen | 2,50,000 Rs. | 40,000 Rs | 30%
Male | 5,00,000 Rs. | 65,000 Rs. | 55%
Female | 5,00,000 Rs. | 50,000 Rs. | 45%
Children | 10,00,00 Rs. | 10,000 Rs | 20%
Following age group will be applicable-
1. 0 - 8 years old -> children
2. 9 - 45 Male / Female
3. > 45 senior citizen
Note- Following tax slabs will be applicable-
1. No tax -> 0 - 250000 Rs.
2. 10% -> 250000 - 500000 Rs.
3. 20% -> 500000 - 1000000 Rs.
4. 30% -> > 1000000 Rs.
Ram, 35 years old has black money amounts to 3,25,000Rs. On which day he will get all of his money after giving tax and penalty if he visits bank on daily basis and withdraw maximum amount.
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Answer: (B) 5th
Explanation
Ram (age 35) is in the Male category.
Taxable amount in the 2,50,000 to 5,00,000 slab = 3,25,000 - 2,50,000 = 75,000 Rs.
Tax at 10% = 7,500 Rs.
Penalty at 55% on tax = 55% of 7,500 = 4,125 Rs.
Total deduction = 7,500 + 4,125 = 11,625 Rs.
Net money remaining in bank = 3,25,000 - 11,625 = 3,13,375 Rs.
With a maximum daily withdrawal limit of 65,000 Rs. for males:
3,13,375 / 65,000 = 4.82, meaning he will completely withdraw all his money on the 5th day.
58Numerical Ability
Due to demonetization of 500 Rs. and 1000 Rs. note, following rules are applicable to the people in the country —
Category | Max Credit Limit per day in a Bank | Max Withdrawal limit per day from Bank | % Penalty on Tax collected by govt
Senior Citizen | 2,50,000 Rs. | 40,000 Rs | 30%
Male | 5,00,000 Rs. | 65,000 Rs. | 55%
Female | 5,00,000 Rs. | 50,000 Rs. | 45%
Children | 10,00,00 Rs. | 10,000 Rs | 20%
Following age group will be applicable-
1. 0 - 8 years old -> children
2. 9 - 45 Male / Female
3. > 45 senior citizen
Note- Following tax slabs will be applicable-
1. No tax -> 0 - 250000 Rs.
2. 10% -> 250000 - 500000 Rs.
3. 20% -> 500000 - 1000000 Rs.
4. 30% -> > 1000000 Rs.
If the credit limit per day in Bank for senior citizen is increased by 20% and the withdrawal limit per day from bank for senior citizen is increased by 50% then find the ratio of credit limit per day to the withdrawal limit per day after increment for senior citizen?
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Answer: (E) 5:1
Explanation
For Senior Citizens:
Original daily credit limit = 2,50,000 Rs.
Increased credit limit (by 20%) = 2,50,000 × 1.20 = 3,00,000 Rs.
Original daily withdrawal limit = 40,000 Rs.
Increased withdrawal limit (by 50%) = 40,000 × 1.50 = 60,000 Rs.
Ratio of new credit limit to new withdrawal limit = 3,00,000 : 60,000 = 5 : 1.
59Numerical Ability
Due to demonetization of 500 Rs. and 1000 Rs. note, following rules are applicable to the people in the country —
Category | Max Credit Limit per day in a Bank | Max Withdrawal limit per day from Bank | % Penalty on Tax collected by govt
Senior Citizen | 2,50,000 Rs. | 40,000 Rs | 30%
Male | 5,00,000 Rs. | 65,000 Rs. | 55%
Female | 5,00,000 Rs. | 50,000 Rs. | 45%
Children | 10,00,00 Rs. | 10,000 Rs | 20%
Following age group will be applicable-
1. 0 - 8 years old -> children
2. 9 - 45 Male / Female
3. > 45 senior citizen
Note- Following tax slabs will be applicable-
1. No tax -> 0 - 250000 Rs.
2. 10% -> 250000 - 500000 Rs.
3. 20% -> 500000 - 1000000 Rs.
4. 30% -> > 1000000 Rs.
Govt. said that there will be investment of 25% out of the total amount recovered as tax and penalty on tax in Garib Kalyan Yojana scheme. If Gopal,26 year old has 20 crore black money then find how much money will be invested in Garib Kalyan Yojana scheme?
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Answer: (A) 2,32,50,000
Explanation
Gopal (age 26) falls in the Male category.
Black money = 20 crore = 20,00,00,000 Rs.
Tax at 30% = 30% of 20,00,00,000 = 6,00,00,000 Rs.
Penalty at 55% on tax = 55% of 6,00,00,000 = 3,30,00,000 Rs.
Total tax and penalty collected = 6,00,00,000 + 3,30,00,000 = 9,30,00,000 Rs.
Investment in Garib Kalyan Yojana = 25% of 9,30,00,000 = 2,32,50,000 Rs.
60Numerical Ability
Due to demonetization of 500 Rs. and 1000 Rs. note, following rules are applicable to the people in the country —
Category | Max Credit Limit per day in a Bank | Max Withdrawal limit per day from Bank | % Penalty on Tax collected by govt
Senior Citizen | 2,50,000 Rs. | 40,000 Rs | 30%
Male | 5,00,000 Rs. | 65,000 Rs. | 55%
Female | 5,00,000 Rs. | 50,000 Rs. | 45%
Children | 10,00,00 Rs. | 10,000 Rs | 20%
Following age group will be applicable-
1. 0 - 8 years old -> children
2. 9 - 45 Male / Female
3. > 45 senior citizen
Note- Following tax slabs will be applicable-
1. No tax -> 0 - 250000 Rs.
2. 10% -> 250000 - 500000 Rs.
3. 20% -> 500000 - 1000000 Rs.
4. 30% -> > 1000000 Rs.
Find the difference between the days required to withdraw 52,00,000Rs. money under a male bank account to the days required to withdraw 5,00,000Rs. money under a children Bank account ?
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Answer: (D) 30 days
Explanation
Daily withdrawal limit for Male = 65,000 Rs.
Days required to withdraw 52,00,000 Rs. = 52,00,000 / 65,000 = 80 days.
Daily withdrawal limit for Children = 10,000 Rs.
Days required to withdraw 5,00,000 Rs. = 5,00,000 / 10,000 = 50 days.
Difference in days = 80 - 50 = 30 days.
61Numerical Ability
P and Q entered into partnership investing Rs 12000 and Rs 16000 respectively. After 8 months, R also joins the business with a capital of Rs 15000. The share of R in a profit of Rs 45600 after 2 years will be :
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Answer: (C) 12000
Explanation
P invested ₹12000 for 24 months, Q invested ₹16000 for 24 months, and R invested ₹15000 for 16 months (24 − 8 = 16 months).
Ratio of profits = (12000 × 24) : (16000 × 24) : (15000 × 16) = 288000 : 384000 : 240000 = 6 : 8 : 5.
Sum of ratio terms = 6 + 8 + 5 = 19.
R's share = (5 / 19) × ₹45600 = ₹12000.
62Numerical Ability
When the price of sugar was increased by 20%, a family reduced its consumption in such a way that the expenditure on sugar is only increased by 15%. If 24 kg were consumed per month before the increase in price, find the new monthly consumption.
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Answer: (B) 23 kg
Explanation
Let original price per kg be P and initial consumption C = 24 kg.
Initial expenditure E = 24P.
New price P' = 1.20P and new expenditure E' = 1.15 × 24P = 27.6P.
New monthly consumption = E' / P' = 27.6P / 1.20P = 23 kg.
63Numerical Ability
A person covered 9 km at 3 km / h, 25 km at 5 km / h and 30 km at 10 km / h. Then find the average speed in covering the whole distance.
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Answer: (E) None of these
Explanation
Total distance = 9 + 25 + 30 = 64 km.
Total time = (9 / 3) + (25 / 5) + (30 / 10) = 3 + 5 + 3 = 11 hours.
Average speed = Total distance / Total time = 64 / 11 ≈ 5.82 km/h.
64Numerical Ability
A dishonest dealer sells the goods at 10% loss on cost price but uses 20% less weight. What is his percentage profit a loss?
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Answer: (A) 12.5% gain
Explanation
Let the cost price of 1000 g be ₹100.
The dealer uses 20% less weight, delivering 800 g with actual cost price ₹80.
Selling price for this quantity at 10% loss on marked cost = ₹90.
Profit = ₹90 − ₹80 = ₹10.
Profit percentage = (10 / 80) × 100 = 12.5% gain.
65Numerical Ability
Two pies A and B can fill a tank in 30 minutes and 45 minutes respectively. Both pipes are opened. The tank will be filled in just 20 minutes, if the pipe B is turned off after :
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Answer: (D) 15 minutes
Explanation
In 20 minutes, pipe A fills 20 / 30 = 2/3 of the tank.
Remaining fraction to be filled by pipe B = 1 − 2/3 = 1/3.
Time required by pipe B to fill 1/3 of the tank = (1/3) × 45 = 15 minutes.
66Numerical Ability
In a voyage of 600 km, a ship was slowed down due to bad weather and storm in Ocean. Its average speed for the trip was reduced by 200 km / hr, and the time of trip increased by 30 minutes. The duration of the voyage is:
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Answer: (A) 1 hour
Explanation
Let the original average speed be S km/h and initial duration be T hours.
Distance = 600 km.
Equation: 600 / (S − 200) − 600 / S = 0.5.
600 × 200 / (S² − 200S) = 0.5
S² − 200S − 240000 = 0
(S − 600)(S + 400) = 0, giving S = 600 km/h.
Original duration T = 600 / 600 = 1 hour.
67Numerical Ability
After replacing an old member by a new member, it was found that the average age of four members of a family is the same as it was 3 year ago. What is the difference between the ages of the replaced and the new member ?
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Answer: (C) 12 years
Explanation
Over 3 years, the sum of ages of 4 members increases by 4 × 3 = 12 years.
Since replacing the old member with the new member leaves the average age equal to the average age 3 years ago, the total age must equal the sum from 3 years ago.
Age of replaced member − Age of new member = 12 years.
68Numerical Ability
Ramesh borrowed 830 Rs. from Sanjeev at 12% p.a. S.I. for 3 years. He then added some more money to the borrowed sum and lent it to Rajesh for the same period of time at 14% p.a. S.I. If Ramesh gains Rs. 93.90 in the whole transaction, how much money did he add from his side?
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Answer: (D) Rs. 105
Explanation
Interest paid to Sanjeev = (830 × 12 × 3) / 100 = ₹298.80.
Let x be the extra amount added. Total amount lent to Rajesh = 830 + x.
Interest earned from Rajesh = ((830 + x) × 14 × 3) / 100 = 348.60 + 0.42x.
Gain = 348.60 + 0.42x − 298.80 = 49.80 + 0.42x = 93.90.
0.42x = 44.10, so x = ₹105.
69Numerical Ability
In what time will be Rs. 390625 amount to Rs. 456976 at 4% compound interest?
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Answer: (C) 4 years
Explanation
Compound interest formula: A = P(1 + r/100)ᵗ.
456976 = 390625 × (1 + 4/100)ᵗ
456976 / 390625 = (26 / 25)ᵗ
Since (26/25)⁴ = 456976 / 390625, t = 4 years.
70Numerical Ability
The length of rectangular floor is twice its breadth. If Rs 256 is required to paint the floor at the rate Rs 2 per sq m, then what would be the length of floor?
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Answer: (A) 16 m
Explanation
Area of the floor = Total cost / Rate = ₹256 / ₹2 = 128 m².
Let breadth = b, length l = 2b.
Area = 2b × b = 2b² = 128 ⇒ b² = 64 ⇒ b = 8 m.
Length = 2 × 8 = 16 m.
71Numerical Ability
In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer:
What is the area of the rectangle?
Statement I -> Length of the rectangle is equal to the radius of a circle whose circumference is 132cm
Statement II -> breadth of the rectangle is of the perimeter of the rectangle.
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Answer: (E) Statement I and statement II together are sufficient
Explanation
From Statement I, the circumference of the circle is 2 × π × r = 132 cm.
2 × (22/7) × r = 132
r = 21 cm
Thus, length L = 21 cm.
From Statement II, a fixed relation between breadth B and perimeter 2(L + B) is given. Substituting L = 21 cm into this relation allows B to be uniquely calculated. Consequently, the area of the rectangle L × B can be found using both statements together.
72Numerical Ability
In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer:
Statement I -> (x²)/(7) -x + ¹²⁄₇ = 0
Statement II -> x + y = 9, ¹⁄ₓ + (1)/(y) = ½
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Answer: (B) If statement II alone is sufficient but statement I alone is not sufficient
Explanation
The question contains two algebraic statements but lacks the actual target question to be answered, making it impossible to assess data sufficiency.
73Numerical Ability
In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer:
In what time the 2 trains cross each other while running in the same direction?
Statement I -> The first train crosses a pole in 9 seconds
Statement II -> The Ist train crosses the second running in opposite direction in 45 seconds, Ratio of speed of Ist train to 2nd train is 2:3
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Answer: (B) If statement II alone is sufficient but statement I alone is not sufficient
Explanation
Let the speeds of the two trains be 2k and 3k.
When running in opposite directions, relative speed = 2k + 3k = 5k.
Total length of the two trains = Relative Speed × Time = 5k × 45 = 225k.
When running in the same direction, relative speed = 3k - 2k = k.
Time required to cross in the same direction = Total Length / Relative Speed = 225k / k = 225 seconds.
74Numerical Ability
In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer:
What is the marked price of the article?
Statement I -> The article is sold at 15% discount on market price still making a gain of 16 Rs
Statement II -> The difference between the marked price and selling price is 50% more than the difference between Selling price and cost price.
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Answer: (D) Statement I and statement II even together are not sufficient
Explanation
From Statement I, Gain = ₹16 and Discount Percentage = 15%.
From Statement II, Discount = 1.5 × Gain.
Substituting Gain = ₹16 into Statement II:
Discount = 1.5 × 16 = ₹24.
Since Discount is 15% of the Marked Price:
0.15 × Marked Price = 24
Marked Price = 24 / 0.15 = ₹160.
75Numerical Ability
In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer:
40 students sit in rows and columns. How many students are seated in each column?
Statement I- The number of rows is 62.50% of the number of columns.
Statement II- The number of rows is 5 / 8 of the number of columns.
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Answer: (C) Either statement I or statement II alone is sufficient
Explanation
Let the number of rows be R and the number of columns be C.
Total students = R × C = 40.
From Statement I:
R = 62.5% of C = (5/8)C
(5/8)C × C = 40
C² = 64
C = 8, R = 5.
From Statement II:
R = (5/8)C
(5/8)C × C = 40
C² = 64
C = 8, R = 5.
Each statement alone yields C = 8 and R = 5.
76Numerical Ability
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
x² - 21x + 54 = 0, y² - 14y + 49 = 0
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Answer: (C) if x < y
Explanation
Solving x² - 21x + 54 = 0:
(x - 18)(x - 3) = 0
x = 18 or x = 3.
Solving y² - 14y + 49 = 0:
(y - 7)² = 0
y = 7.
When x = 18, x > y. When x = 3, x < y. Therefore, no single relation between x and y can be established.
77Numerical Ability
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
x² - 19x + 70 = 0, 2y² - 17y + 35 = 0
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Answer: (B) if x ≥ y
Explanation
Solving x² - 19x + 70 = 0:
(x - 14)(x - 5) = 0
x = 14 or x = 5.
Solving 2y² - 17y + 35 = 0:
(2y - 7)(y - 5) = 0
y = 3.5 or y = 5.
Comparing roots:
14 > 5 and 14 > 3.5
5 = 5 and 5 > 3.5
In all cases, x ≥ y.
78Numerical Ability
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
3x² + 5x - 8 = 0, y² - 4y + 3 = 0
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Answer: (D) if x ≤ y
Explanation
Solving 3x² + 5x - 8 = 0:
(3x + 8)(x - 1) = 0
x = 1 or x = -8/3.
Solving y² - 4y + 3 = 0:
(y - 1)(y - 3) = 0
y = 1 or y = 3.
Comparing roots:
When x = 1: 1 = 1 and 1 < 3.
When x = -8/3: -8/3 < 1 and -8/3 < 3.
In all cases, x ≤ y.
79Numerical Ability
What should come in place of question mark (?) in the given series?
12 34 54 71 84 ?
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Answer: (B) 92
Explanation
The differences between consecutive terms are:
34 - 12 = 22
54 - 34 = 20
71 - 54 = 17
84 - 71 = 13
The second-level differences are -2, -3, -4. Following this pattern, the next difference is 13 - 5 = 8.
The next term in the series is 84 + 8 = 92.
80Numerical Ability
What should come in place of question mark (?) in the given series?
360 72 18 6 ? 3
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Answer: (A) 3
Explanation
The pattern in the series is division by consecutive decreasing integers starting from 5:
360 ÷ 5 = 72
72 ÷ 4 = 18
18 ÷ 3 = 6
6 ÷ 2 = 3
3 ÷ 1 = 3
Dividing 6 by 2 yields 3, which satisfies the entire sequence.
81Numerical Ability
What should come in place of question mark (?) in the given series?
382 380 374 356 302 ?
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Answer: (B) 140
Explanation
The differences between consecutive terms are:
380 - 382 = -2
374 - 380 = -6
356 - 374 = -18
302 - 356 = -54
Each successive difference is multiplied by 3. The next difference is -54 × 3 = -162. Subtracting 162 from 302 gives 302 - 162 = 140.
82Numerical Ability
What should come in place of question mark (?) in the given series?
3 9 45 315 ? 31185
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Answer: (B) 2835
Explanation
The pattern in the given series involves multiplying each term by consecutive odd numbers:
3 × 3 = 9
9 × 5 = 45
45 × 7 = 315
To find the next term, multiply 315 by 9:
315 × 9 = 2835
Verifying the next step, 2835 × 11 = 31185, which completes the series.
83Numerical Ability
What should come in place of question mark (?) in the given series?
12 14 18 26 42 ?
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Answer: (B) 74
Explanation
The differences between successive terms follow a geometric progression of powers of 2:
14 - 12 = 2
18 - 14 = 4
26 - 18 = 8
42 - 26 = 16
The next difference in the sequence is 16 × 2 = 32. Adding 32 to 42 gives 42 + 32 = 74.
84Numerical Ability
A is able to do a piece of work in 15 days and B can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left ?
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Answer: (A) ⁸⁄₁₅
Explanation
A completes 1/15 of the work in one day, and B completes 1/20 of the work in one day. Working together, their combined one-day work rate is:
1/15 + 1/20 = (4 + 3) / 60 = 7/60
In 4 days, the total fraction of work completed by both is:
4 × (7/60) = 7/15
The fraction of work remaining is:
1 - 7/15 = 8/15
85Numerical Ability
Cost price of each of the articles A and B is 'x'. Article A was sold at a profit of 10% and article B was sold at a profit of 30%. If the overall profit earned after selling both the articles is ₹136/, what is the value of 'x'?
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Answer: (A) ₹340/-
Explanation
Let the cost price of each article be x.
Profit from article A = 10% of x = 0.10x
Profit from article B = 30% of x = 0.30x
Total profit = 0.10x + 0.30x = 0.40x
Given total profit = 136:
0.40x = 136
x = 136 / 0.40 = 340
86Numerical Ability
Population of a village increased by 5% from 2007 to 2008 and by 25% from 2008 to 2009. If the population of the village was 480 in 2007, what was its population in 2009 ?
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Answer: (C) 630
Explanation
Population in 2009 = Initial Population × (1 + r₁/100) × (1 + r₂/100)
Population in 2009 = 480 × (1 + 5/100) × (1 + 25/100)
Population in 2009 = 480 × 1.05 × 1.25 = 480 × (21/20) × (5/4) = 630
87Numerical Ability
What should come in place of question mark (?) in the given questions ?
24% of 150 ÷ ¾ = ?
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Answer: (B) 48
Explanation
First, calculate the value inside the expression:
150 ÷ (3/4) = 150 × (4/3) = 200
Now calculate 24% of 200:
24% × 200 = (24 / 100) × 200 = 48
88Numerical Ability
What should come in place of question mark (?) in the given questions ?
42.8 × 13.5 × 16.2 × ? = 2340.09
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Answer: (B) 0.25
Explanation
First, calculate the product of the known values on the left side of the equation:
42.8 × 13.5 × 16.2 = 9360.36
Substitute this back into the given equation:
9360.36 × ? = 2340.09
Solve for ? by dividing the right side by 9360.36:
? = 2340.09 / 9360.36
Since 2340.09 × 4 = 9360.36, the fraction simplifies to 1/4, which equals 0.25.
89Numerical Ability
What should come in place of question mark (?) in the given questions ?
652.84 + 482.26 + ? = 1200
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Answer: (D) 64.9
Explanation
Sum the two given numbers:
652.84 + 482.26 = 1135.10
Subtract this sum from 1200 to find the missing value:
? = 1200 - 1135.10 = 64.9
90Numerical Ability
What should come in place of question mark (?) in the given questions ?
60% of 250 - ? = 75
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Answer: (D) 75
Explanation
Calculate 60% of 250:
(60 / 100) × 250 = 150
Substitute this into the equation:
150 - ? = 75
? = 150 - 75 = 75
91Numerical Ability
What should come in place of question mark (?) in the given questions ? 681 + ? × 40 = 1161
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Answer: (B) 12
Explanation
To find the missing value in the linear equation 681 + ? × 40 = 1161, begin by isolating the term containing the unknown variable on the left-hand side:
? × 40 = 1161 - 681
Calculate the difference on the right-hand side:
1161 - 681 = 480
Now, solve for the unknown variable by dividing both sides of the equation by 40:
? = 480 / 40
Performing the division yields:
? = 12
Hence, the value that replaces the question mark is 12.
92Numerical Ability
What should come in place of question mark (?) in the given questions ?
17.8% of ? = 427.2 × 8.4% of 135
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Answer: (C) 27216
Explanation
To determine the unknown value, express the given relation as a standard algebraic equation:
(17.8 / 100) × ? = 427.2 × (8.4 / 100) × 135
Since 100 is present in the denominator on both sides of the equal sign, cancel it out to simplify:
17.8 × ? = 427.2 × 8.4 × 135
Divide both sides by 17.8 to isolate the unknown term:
? = (427.2 / 17.8) × 8.4 × 135
Notice that 427.2 divided by 17.8 evaluates exactly to 24:
427.2 / 17.8 = 24
Now multiply the remaining numerical factors:
? = 24 × 8.4 × 135 = 27216
93Numerical Ability
What should come in place of question mark (?) in the given questions ?
5/6th of 348 − 1/8th of 232 = ?
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Answer: (D) 261
Explanation
To solve the given numerical expression, compute each fractional term separately before subtracting:
First, calculate 5/6th of 348:
(5 / 6) × 348 = 5 × 58 = 290
Next, calculate 1/8th of 232:
(1 / 8) × 232 = 29
Now, subtract the second evaluated term from the first evaluated term:
? = 290 - 29
Performing this simple subtraction yields:
? = 261
Thus, replacing the question mark with 261 balances the equation.
94Numerical Ability
What should come in place of question mark (?) in the given questions ?
3060 − 2460 = ? × 30
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Answer: (C) 20
Explanation
To find the value of the unknown variable, start by calculating the difference between the two numbers given on the left-hand side of the equation:
3060 - 2460 = 600
Now substitute this value back into the original algebraic relation:
600 = ? × 30
To isolate the unknown variable on one side, divide 600 by 30:
? = 600 / 30
Carrying out the division gives:
? = 20
Hence, the correct value in place of the question mark is 20.
95Numerical Ability
What should come in place of question mark (?) in the given questions ?
?% of (230.02 × 7.89 − 559.85) = 960
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Answer: (E) 75
Explanation
This is an approximation problem. Round each decimal number in the expression to its nearest convenient integer:
230.02 ≈ 230
7.89 ≈ 8
559.85 ≈ 560
Now evaluate the mathematical expression inside the parentheses using the rounded values:
230 × 8 - 560 = 1840 - 560 = 1280
Set up the percentage equation with this simplified bracket value:
(? / 100) × 1280 = 960
Solve for the unknown percentage value:
? = (960 × 100) / 1280 = 960 / 12.8 = 75
Thus, the required percentage value is 75.
96Numerical Ability
What should come in place of question mark (?) in the given questions ?
25% of 459 + 65.01 + 5.02 = ?
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Answer: (B) 128
Explanation
Using approximation for the values in the expression:
What should come in place of question mark (?) in the given questions ?
55% of 260 − ? = 54 − 19
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Answer: (B) 108
Explanation
To solve for the missing term, evaluate the expressions on both sides of the equation step by step:
First, calculate 55% of 260:
(55 / 100) × 260 = 0.55 × 260 = 143
Next, compute the value on the right-hand side:
54 - 19 = 35
Substitute these calculated values into the given equation:
143 - ? = 35
To isolate the unknown variable, subtract 35 from 143:
? = 143 - 35 = 108
Thus, the value that completes the equation is 108.
98Numerical Ability
09% of 80.15 + 60.04% of 160.12 = ?
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Answer: (E) 128
Explanation
Approximate each term in the expression:
40.09% of 80.15 ≈ 40% of 80 = 0.40 × 80 = 32
60.04% of 160.12 ≈ 60% of 160 = 0.60 × 160 = 96
Sum the approximate values:
32 + 96 = 128
99Numerical Ability
08² - 3.01 × 104.11 ÷ 4.02 = ?
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Answer: (D) 120
Explanation
Approximating the given decimal values to their nearest convenient numbers:
14.08 ≈ 14
3.01 ≈ 3
104.11 ≈ 104
4.02 ≈ 4
Applying the BODMAS rule, solve the multiplication and division first:
3.01 × 104.11 ÷ 4.02 ≈ (3 × 104) ÷ 4 = 312 ÷ 4 = 78
Now, calculate the square term:
14.08² ≈ 198
Subtracting the calculated term gives:
198 - 78 = 120
