Talent Q (Korn Ferry) Elements Numerical Solution Talent Q Elements Numerical Solution Talent Q (Korn Ferry) Elements Numerical Solution 1. Advertising rates 1) How many readers aged 40 or less does Computer Fortnightly have? > 110,000 165000 × (1 − 30%) = 115,500 2) What percentage premium does Design News charge or an inside front page, compared with full-page price? (2745 − 2495) ÷ 2495 = 10% 10% 3) Which magazine has the lowest ratio of readership to circulation, and what ratio is that? BM; 1.76:1 195000: 110500 = 1.76: 1 Talent Q (Korn Ferry) Elements Numerical Solution 2. Average Daily Visitors to Magical Attraction’s main sites 1) How many people approximately (aged 60 years or under) visit Flower Park compared to Theme Park between a typical Monday to Friday? Less 7,250 [(1550 + 3100) − (3250 + 2850)] × 5 = −7250 2) If the Flower Park raised its entrance fee by 5%, what would be the additional daily revenue across the board (to the nearest £)? 3,016 (6 × 1550 + 10 × 3100 + 4.5 × 4450) × 0.05 = 3016.25 3) What is the ratio of the entrance fee for an adult visiting Royal Park on 1st February compared to an adult visiting Theme Park on the previous day? 10:11 9: (11 × 0.9) = 9: 9.9 = 10: 11 Talent Q (Korn Ferry) Elements Numerical Solution 3. Budgets and spend to date 1) If the budget for Contractors is spread equally over the months, by how much is it under- or over-spent to date? Under 110 4650 ÷ 12 × 8 − 2990 = 110 2) What is the ratio of Salaries to Benefits in the budgets? 4.75:1 24300: 5100 = 4.76: 1 3) What percentage of the budget is made up of salaries and benefits (taken together)? 52.5 (24300 + 5100) ÷ 55925 = 52.57% ≈ 52.50% Talent Q (Korn Ferry) Elements Numerical Solution 4. Bus time-table Gorse 1) How many buses leave Riley Arms for Gorse Common between 09:45 and 20:15 on Monday? 6 buses 735 min ÷ 105 min − 1 = 7 − 1 = 6 2) How many buses run from Maidencote on Sunday? 5 buses 660 min ÷ 165 min + 1 = 4 + 1 = 5 3) If I miss the bus from Hurstcombe at 09:13 on Thursday, when is the earliest I can arrive at Maidencote? (xx hrs xx mins) 2 hrs 57 mins 10: 25 + 1: 45 = 12: 10; 12: 10 − 9: 13 = 2: 57 Talent Q (Korn Ferry) Elements Numerical Solution 5. Bus time-table James Bay 1) If I miss the bus from Huntswood at 09:13 on Thursday, when is the earliest I can arrive at Foxhill? (xx hrs xx mins) 2 hrs 57 mins 10: 25 + 1: 45 = 12: 10; 12: 10 − 9: 13 = 2: 57 Talent Q (Korn Ferry) Elements Numerical Solution 6. Commercial Property rentals 1) How much less would the annul rent per m2 have been for a modern property (<500 m2) than for a traditional one (same size) in Dardano in 1995? 0.85 40.35 − 41.20 = −0.85 2) The monthly rent on a modern property of 3,000m2 in Dardano in 1995 would have been EUR 115,000: how many m2 (of modern property) could one rent for the same amount in 2005? 3) What was the estimated annual rent in 2000 for a modern property of 1,000m2 in Bersdorf? 721,800.00 60.15 × 1,000 × 12 = 721800.00 Talent Q (Korn Ferry) Elements Numerical Solution 7. Contract consultants’ salaries 1) How much is the Universum salary in £s after tax? 32,800 22500 ÷ 0.6 × (1 − 12.5%) = 32812.5 2) How much lower % is the Amalgo salary than the Mid-World salary, in £s (before tax)? 37.5% [(200,000 ÷ 4) − (1,000,000 ÷ 12.5)] ÷ (1,000,000 ÷ 12.5) = 0.375 3) What would the Trans-Alp salary (post-tax) be worth in the currency of Global 55? 24,000 4,000,000 ÷ 62.5 × 50% × 0.75 = 24000 Talent Q (Korn Ferry) Elements Numerical Solution 8. Entel Finance Group 1) What was the average amount in a Deposit Account at the beginning of the year? 5,050 325347 ÷ 64,725 = 5.0266 £000 2) What was the percentage increase in amount deposited with Entel (net of withdrawals) over the whole year? 6% (172449 − 153,596) ÷ 325347 = 5.79% 3) What was the percentage increase in amount lent out by Entel (net of repayments) over the whole year? 16.5% (93363 − 52085) ÷ 250,165 = 16.5% 4) What was the percentage increase in the number of deposit accounts over the whole year? 8.4% (24717 − 19280) ÷ 64,725 = 8.4% 5) What was the total amount in Deposit Accounts at the end of the year? 344,200 325347 + 172449 − 153596 = 344200 Talent Q (Korn Ferry) Elements Numerical Solution 9. Financial Advisor Commissions Abrahams 1) How much more or less commission did Banerjee earn in Jul-Dec than in Jan-Jun? Less, by 450 (2010 + 1945) − (2385 + 2010) = −440 ≈ −450 2) How much more or less commission did Mohamed earn in Jul-Sep than in Oct-Dec? Less, by 700 1670 − 2370 = −700 3) Which adviser was youngest on the date of joining the company? Svensson 28/12/1974 – 03/01/1999 4) Which quarter had the highest total commissions for the 10 advisers, and what was the average commission in that quarter? Jan-Mar; 2,790 Sum up each column Jan-Mar 27,900 highest Talent Q (Korn Ferry) Elements Numerical Solution 10. Financial Advisor Commissions Ahmed 1) How much more or less commission did Eriksson earn in Oct-Dec than in Jul-Sep? More, by 150 3090 − 2940 = 150 2) Which adviser was oldest on the date of joining the company? Pasteur 05/04/1964 3) Which quarter had the highest total commissions for the 10 advisers, and what was the average commission in that quarter? Oct-Dec; 2,790 Sum up each column Oct-Dec 27,900 highest Talent Q (Korn Ferry) Elements Numerical Solution 11. Financial Advisor Commissions Asif 1) How much more or less commission did Fang earn in Jul-Sep than in Oct-Dec? More, by 150 1825 − 1670 = 155 2) How much more or less commission did Gonzale earn in Jul-Dec than in Jan-Jun? More, by 450 2385 − 1945 = 440 3) Which advisor was youngest on the date of joining the company? Reinhardt 28/12/1974 − 03/01/1999 4) Which quarter had the highest total commissions for the 10 advisors, and what was the average commission in that Quarter? Jul-Sep; 2,790 Sum up each column Jul-Sep 27,900 highest 5) Who earned the lowest commission in any quarter, and in which quarter? Pereira; Jan-Mar Sum up each column Jul-Sep 27,900 highest Talent Q (Korn Ferry) Elements Numerical Solution 12. Financial advisor Commissions Aziz 1) How much more or less commission did Patel earn in Oct-Dec than Jul-Sep? Less, by 775£ 2170 − 2940 = −770 2) How much more or less commission did Watine earn in Jan-June than Jul-Dec? More, by 440£ (2010 + 2385) − (1945 + 2010) = 440 3) Which advisor was oldest on the date of joining the company? Aziz 05/04/1964 Talent Q (Korn Ferry) Elements Numerical Solution 13. Financial advisor Commissions Ascot 1) How much more or less commission did Fang earn in Jul-Step than in Oct-Dec? More, by 115£ 1825 − 1670 = 155 2) Who earned the lowest commission in any quarter, and in which quarter? Pereira; Jan-Mar 1,215 3) Which advisor earned the highest commission for the half-year Jul-Dec? Ascot 6,775 Talent Q (Korn Ferry) Elements Numerical Solution 14. Investment appreciation 1) I invested £50,000 in each of Fidel and Hedger funds. What was my total investment worth after 5 years? 122,000 50,000 × (1 + 3.25%)A + 50,000 × (1 + 5%)A = 122,485 2) How much did Dynamo Fund appreciate over years 4-5? 1.5% 1.044 × 0.972 − 1 = 0.014768 3) How much (%) did Bonus Fund appreciate over years 1-3? 10.9% 1.035B − 1 = 0.10872 4) Which of the 8 funds appreciated most over the 5 years, and by how much (%)? Hedger; 27.6% 1.05A − 1 = 0.27628 5) How much (%) did Gilt Fund appreciate over the 5 years? 18.5% 1.031 × 1.024 × 1.036 × 1.040 × 1.042 − 1 = 0.185 Talent Q (Korn Ferry) Elements Numerical Solution 15. Longdale Garage sales figures 1) How much was warranty repair income more or less than “other repairs” in 2002? 85$’000; Less 90 − 175 = −85 2) What were the total sales of warranty and “other repairs” in 2002? 265 90 + 175 = 265 3) What were the total sales of fuel and “other products” in 2003? 470 375 + 95 = 470 Talent Q (Korn Ferry) Elements Numerical Solution 16. Magazine 1) What %age premium does Design News charge for an inside-front page, compared with fullpage price? 10% (2745 − 2495) ÷ 2495 = 0.10 Talent Q (Korn Ferry) Elements Numerical Solution 17. Month’s sales of Internet and cable TV packages 1) A customer purchases a Diamond contract and then switches 6 months later to a Platinum contract due to a sale deal of 20% off the monthly Platinum package cost. What’s the total cost for the customer over the two contract periods? 1,104 40 × 6 + 45 × 80% × 24 = 1104 2) In which region was the second highest total number of Platinum, Executive and Premium packages sold (over the previous month)? South-East 8700 + 6120 + 6760 = 21580 3) What is the average monthly sale value of the Diamond package across the 7 regions (to the nearest £)? 5,396 (6,125 + 4,765 + 5,700 + 6,800 + 3,630 + 5,300 + 5,450) ÷ 7 = 5396 Talent Q (Korn Ferry) Elements Numerical Solution 18. Postal rates 1) How much will it cost to send 4 packages (each weighing 450 oz) USA Express? 15.00$ 4 × 3.75 = 15.00 2) How much will it cost to send 3 packages (each weighing 1,100 oz) International Standard? 49.35$ 3 × 16.45 = 49.35 3) How much will it cost to send 3 packages (each weighing 700 oz) Europe Standard? 26.10$ 3 × 8.70 = 26.10 Talent Q (Korn Ferry) Elements Numerical Solution 19. Sales performance Central 1) How much will North-East and South-East together have to sell in Oct-Dec for their year target to be met? (400 + 500) − (270 + 351) = 279 >275 2) How much will East-Central have to sell in Oct-Dec to meet the target for the year? 125 400 − 275 = 125 3) Which Area (excluding International) had the highest %age variance (excess or shortfall) against target for the period Apr-Sep? (233 − 245) ÷ 245 = −0.04898 SE; -5.0% Talent Q (Korn Ferry) Elements Numerical Solution 20. Sales performance Rocky Mountain 1) How much will Midwest have to sell in Oct-Dec to meet the target for the year? 125 400 − 275 = 125 2) How much will North-East and South-East together have to sell in Oct-Dec for their year target to be met? (400 + 500) − (270 + 351) = 279 >275 3) Which Area (excluding International) had the highest percent of variance (excess or shortfall) against target for the period Apr-Sep? (233 − 245) ÷ 245 = −0.04898 SE; -5.0% Talent Q (Korn Ferry) Elements Numerical Solution 21. Share Price and Dividend 1) At today’s prices, what’s the total cost of buying 450 Safron shares and half as many Troika shares (to the nearest £100)? 9100 13.8 × 450 + 12.75 × 225 = 9078.75 2) For which share is the total yearly dividend valued at over 7% of today’s share price? Kilic (0.30 + 0.35) ÷ 9.25 = 0.0703 3) If today you sold 50,000 Kilic shares, after collecting the July-Dec dividend, how many Soares shares could you buy with the proceeds (to the nearest 1,000)? 55,000 (9.25 − 0.35) × 50,000 ÷ 8.1 = 54,938.27 Talent Q (Korn Ferry) Elements Numerical Solution 22. Store Sales Performance by Region 1) What are New York’s sales for April and May (to the closet $000)? 455 145 × 1.65 + 135 × 1.60 = 455.25 2) What is the April to June sales ratio for the Dublin and Berlin outlets combined, when compared to the London outlet’s sales for the same period? 2:1 [(150 + 105 + 135) + (95 + 105 + 90)]: (100 + 120 + 120) = 680: 340 = 2: 1 3) What is the difference in €000’s between the first quarter’s sales in Berlin compared to Dublin? 60.5 (305 − 250) × 1.10 = 60.5 Talent Q (Korn Ferry) Elements Numerical Solution 23. U-Phone contracts 1) How many more or less Premium Business accounts were sold than Premium Private accounts? Less; 425 (255 + 140) − (395 + 425) = −425 2) How many Private accounts were sold on-line in 2005 (all 3 types of contract)? 1060 575 + 395 + 90 = 1060 3) How many Private accounts were sold through Agencies in 2005 (all 3 types of contract)? 895 240 + 425 + 230 = 895 Talent Q (Korn Ferry) Elements Numerical Solution 24. Warehousing and storage 1) How many BTG PC Drive packs can be stored at Inghamsfield? (60 × 40 × 18) ÷ (3 × 2 × 1.5) = 43200 ÷ 9 = 4800 4800 2) How much space is required for 250 Chrysalls Server Cabinet packs? (m3) 5000m3 25 × 4 × 2.5 × 2 = 5000 3) What is the minimum cost of storing 10 Express Consumables packs for a year? 285.6 10 × 1.25 × 1.25 × 1.50 = 23.44 ≈ 24; 11.90 × 24 = 285.6