AFCAT Maths Sample paper - for 2016 Entrance
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1. Which one of the following is not correct?
a) 86 ² = 7396
b) 93 ² = 8949
c) 71 ² = 5041
d) 46 ² = 2016
2. Average:
Last year, Robert went bowling several times and earned an average score of 85 points. This year, after taking a class at school, his average is now 60% higher. What is his current average?
a) 92
b) 112
c) 126
d) 136
3. LCM/ HCF
Brandy and Lara are studying a set of new words for Spanish class. Brandy decides to break the set into lists of 8 words. Meanwhile, Lara creates lists of 9 words. What is the smallest number of words there could be?
a) 48
b) 57
c) 68
d) 72
4. Easy Cooking is a cooking supply company. Last year, the company sold 34,470 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?
a) 23129
b) 24129
c) 22388
d) 24899
5. Zachhas₹20inasavingsaccount.Theinterestrateis
5 %
peryearandisnotcompounded.Howmuchwillhehavein2years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
a) 44
b) 33
c) 22
d) 15.50
6. An entrepreneur buys some white face cloths. Each one costs ₹28 and resells online for ₹63. What is the mark-up, as a percentage?
Write your answer using a percent sign (%).
a) 110
b) 115
c) 125
d) 155
7. A store manager is marking down Halloween masks from ₹875 to ₹735. What is the discount, as a percentage?
Write your answer using a percent sign (%).
a) 6 %
b) 16 %
c) 12 %
d) 18 %
8. What is the sale price of a pen originally priced at ₹56.10? If they offered 90% OFF on the marked price
a) Rs.5.61
b) Rs., 4.81
c) Rs. 6.51
d) Rs, 7.29
9. Makibuysaspoolofribbonpricedat₹37.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillMakipay?
a) 10.40
b) 11.10
c) 12, 29
d) 13, 40
10. In Karnataka, a particular item has a cost of ₹800 excluding VAT at 13.5%. What is the total cost after VAT is added?
a) Rs, 808
b) Rs. 608
c) Rs 908
d) Rs, 1018
11. A store bought a box of coloured pencils at a cost of ₹75 and marked it up 100%. Later on, the store marked it down 30%. What was the discount price?
a) 105 Rs.
b) 108 Rs.
c) 110 Rs.
d) 115 Rs.
12. Camille works as a salesperson and earns a base salary of ₹5,986 per week plus a commission of 13% of all her sales. If Camille had ₹7,100 in weekly sales, how much did she make?
a) 5690
b) 6909
c) 7809
d) 7090
13. A store originally priced a mountain bike at ₹6,525. In order to make room for winter inventory, however, it placed the bike on sale for 20% off. If Pam, who earns a 15% commission on the sale price, sold the item, how much did she make?
a) 568
b) 683
c) 783
d) 753
14. Denelle prepared 12 kilograms of dough after working 4 hours. How much dough did Denelle prepare if she worked for 6 hours? Assume the relationship is directly proportional.
a) 18
b) 16
c) 16,5
d) 14,75
15. William learnt to play a total of 4 pieces over the course of 2 weeks of piano lessons. In all, how many weeks of piano lessons will William need before he will be able to play a total of 20 pieces? Assume the relationship is directly proportional.
a) 20
b) 15
c) 22
d) 26
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