Aptitude [HCL Placement]: Sample Questions 28 - 29 of 43

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Question 28

Aptitude

Question

MCQ▾

What does the hex number E78 correspond to in radix 7?

Choice (4)

a.

12455

b.

13541

c.

14153

d.

14256

b.

Explanation

• The given number is E78 base 16.
• We want the same number in radix (base) 7
• First convert base 16 into base 10 (decimal)

E78 = + +

=

=

= 3704

• Now, convert base 10 to base 7.
• Dividing 3704 by 7, quotient is 529 and remainder is 1
• Dividing 529 by 7, quotient is 75 and remainder is 4
• Dividing 75 by 7, quotient is 10 and remainder is 5
• Dividing 10 by 7, quotient is 1 and remainder is 3
• Dividing 1 by 7, quotient is 0 and remainder is 1.
• Reversing the order we can find the base 7 equivalent number of hex number.
• The base 7 number will be 13541.

Question 29

Aptitude

Question

MCQ▾

At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 5 tickets?

Choice (4)

a.

20 %

b.

66.6 %

c.

60 %

d.

40 %

d.

Explanation

• Let the price of one ticket is ₹ x
• So, price for 5 tickets will be ₹ 5x
• In sale 5 tickets can be purchased for the price of 3 tickets, i.e.. customer will pay only ₹ 3x to purchase 5 tickets.
• So, customer is saving ₹ 2x if he purchases 5 tickets.
• Taking ratio of saved amount with original price,

=

• The amount saved will be 40 % of the original price of 5 tickets.

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