Quant Quiz

Q1)-In how many ways can the letters of the word QUADRATIC be arranged so that the vowels always come together?

4680

6840

8640

4860

Ans.- C
In the word QUADRATIC , there are 4 vowels U,A,A and I
we will take all the vowels as a single entity
hence, Q, D, R, T, C and UAAI can be arranged in 6! Ways
vowels can be arranged among themselves in 4! Ways, but there are two A. So vowels can be arranged among themselves in 4!/2! Ways
Total number of ways = 6! X 4!/2! Ways
= 8640 ways.

Q2)-In a bag there are 6 red, 4 blue and 5 black balloons. If two balloons are drawn randomly, find the probability at least one of them is red.

22/35

23/35

26/35

24/35

Ans.- B

Q3)-A square is inscribed in a circle such that each of its vertices lie on the circumference of the circle. If the measure of the diagonal is 14cm, find the area of the circle.

145

541

154

451

Ans.- C

Q4)-Four years ago Anita’s age was six times that of her daughter. At present her age is four times that of her daughter. What will be her daughter’s age after eight years?

14 years

16 years

20 years

18 years

Ans.- D
let the age of her daughter four years ago = x years
6x + 4/x + 4 = 4/1
=> 6x + 4 = 4x + 16
=> 2x = 12
=> x = 6
Her daughter’s age after eight years = 6 + 4 + 8 = 18 years

Q5)-What will come in place of the question mark?
6, 8, 11, 21, 36, ?

26

46

62

72

Ans.- C

Q6)-Three years ago, the average age of Sonu, Nitu and Monu was 21 years and the average of present ages of Sonu and Monu is 18 years. What is the present age of Nitu?

36 years

26 years

34 years

24 years

Ans.- A
sum of the present ages of Sonu, Nitu and Monu = 3 x 21 + 9 = 72
Sum of the present ages of Sonu and Monu = 2 x 18 = 36 years
Present age of Nitu = 72 – 36 = 36 years

Q7)-The ratio of monthly salary of Raju and Deepak are in the ratio 7:4 and the ratio of their expenditure is 3:1. If both of them save Rs.1000, What is the salary of Raju?

Rs.3200

Rs.2300

Rs.2800

Rs.3000

Ans.- C
(7x – 1000)/(4x - 1000) = 3/1
=> 7x – 1000 = 12x – 3000
=> 5x = 2000
=> x = 400
Salary of Raju = 7 x 400 = Rs.2800

Q8)-Soma speaks truth in 30% and Komal in 70% of the cases. In what % of the case they are likely to contradict each other when narrating the same incident?

85%

58%

57%

75%

Ans.- B
Soma(truth) = 30%, Soma(lie) = 70%
Komal(truth) = 70%, Komal(lie) = 30%
Contradiction = Soma(truth) and Komal(lie) or Komal(truth) and Soma(lie)
= 30/100 x30/100 + 70/100 x 70/100
= 9% + 49%
= 58%

Q9)-There is a five digit number plate of a house in which digits are not repeated. If the first digit is 7,find how many such number plates are possible?

3024

2134

4312

3421

Ans.- A
There are 10 digits.
Since the first digit is 7 and digits are not repeated
Total number of possible number plates = 9 x 8 x 7 x 6 = 3024

Q10)-What is the value of log 64/log √16 ?

2

3

1

4

Ans.- B