Quiz 7

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and 6th term is - 4?

• -48

• -30

• 45

• 67

• None

If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

• 18

• 24

• 27

• 36

• 54

Rabee and Region are partners in a business. Rabee contributes 1/4th capital for 15 months and Region received 2/3 of profit. For how long Region’s money was invested?

• 8 months

• 10 months

• 11 months

• 17 months

• None

Hridoy and Likhon are partners in a business. They invested in the ratio 5:6, at the end of 8 months Hridoy withdraws his capital. If they receive profits in the ratio of 5:9, find how long Likhon’s capital was in the business?

• 10 months

• 12 months

• 14 months

• 15 months

• None

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can s/he choose the questions?

• 40

• 320

• 11340

• 12750

• None

What is the probability that a word formed by randomly rearranging the letters of the word SPEAK is the word SPEAK itself?

• 1

• 1/30

• 1/60

• 1/120

• 1/5

A menu offers 2 appetizers, 4 main courses, and 3 desserts. A dinner must contain an appetizer, a main course, and a dessert. How many different combinations of dinner can be made?

• 9

• 5

• 6

• 12

• 24

In a group of 30 students, 14 are girls and 4 of them can speak French. All of the boys can speak French. If a student is selected randomly from the group, find the probability that the selected student is a girl who cannot speak French.

• 2/15

• 1/3

• 2/7

• 5/7

• None of these

A two-digit number is written at random. Determine the probability that the number will be a prime number.

• 1/12

• 1/3

• 4/9

• 1/4

• 7/30

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is

• 1/13

• 2/13

• 1/26

• 1/52

• None