Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 22 - 25 of 156

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Question number: 22

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

Suppose a2, a3, a4, a5, a6, a7 are integers such that

57=a22!+a33!+a44!+a55!+a66!+a77!

Where 0a<j for j = 2, 4, 5, 6, 7. The sum a2+a3+a4+a5+a6+a7 is,

Choices

Choice (4) Response
a.

9

b.

10

c.

8

d.

11

Question number: 23

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2010

Short Answer Question▾

Write in Short

Leela and Madan pooled their music CD’s and sold them. They got as many rupees for each CD as the total number of CD’s they sold. They share the money as follows Leela first takes 10 rupees, then Madan takes 10 rupees and they continue taking 10 rupees alternately till Madan is left out with less than 10 rupees to take. Find the amount that is left out for Madan at the end, with justification.

Question number: 24

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2013

MCQ▾

Question

In a city, the total income of all people with salary below Rs. 10, 000 per annum is less than the total income of all people with salary above Rs. 10, 000 per annum. If the salaries of people in the first group increases by 5 % and the salaries of people in the second group decreases by 5 % then the average income of all people.

Choices

Choice (4) Response
a.

remains the same

b.

decreases

c.

cannot be determined from the data

d.

increases

Question number: 25

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

Question

In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure.

Choices

Choice (4) Response
a.

any value ≤ 90

b.

15

c.

45

d.

30

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