UPSI QUANT QUIZ 10

Question 1:

Find the largest 4 digit number which when divided by 13 it gives 9 as remainder.

9986

9993

9984

9987

Question 2:

A train crosses a platform in 60 seconds at a speed of 45 $\mathrm{km} / \mathrm{hr}$. How much time will it take to cross an electric pole if the length of the platform is 100 metres?

8 seconds

1 minute

52 seconds

1 hour

Question 3:

If $a^{3}+b^{3}=450$ and $a+b=18$ then find the value of $\sqrt{(a+b)^{2}-3 a b}$ ?

5

3

4

2

Question 4:

A mobile seller has two mobiles. The cost price of first mobile is $30 \%$ more than that of another mobile. He sold cheaper mobile at $27 \%$ profit. At what $\%$ of profit he should sell costlier mobile so that he may gain overall $40 \%$ profit.

$80 \%$

$105 \%$

$50 \%$

$85 \%$

Question 5:

If a sum of money amounts to Rs. 2502 in 3 years and Rs. 3087 in $5.5$ years at the same rate of simple interest per annum. Then the rate of simple interest is?

$11 \%$

$15 \%$

$17 \%$

$13 \%$

Question 6:

The average height of first six students is 170 $\mathrm{cm}$, the average height of the last eight students is $175 \mathrm{~cm}$, the average height of the total 16 students is $172 \mathrm{~cm}$. Find the average height of rest 2 students.

$169 \mathrm{~cm}$

$166 \mathrm{~cm}$

$173 \mathrm{~cm}$

$174 \mathrm{~cm}$

Question 7:

The sum of the age of the daughter and her mother is 60 years. After 6 years the age of the mother will be 5 times that of the daughter. Find the present age of the mother.

54 years

61 years

47 years

59 years

Question 8:

Simplify: $1+\frac{4}{2+\frac{3}{5-\frac{1}{2}}}-\frac{1}{2}(10 \div 2)$

$1$

$0$

$-\frac{15}{2}$

$-\frac{1}{2}$

Question 9:

A can do a certain piece of work in 20 days and $\mathrm{B}$ is $25 \%$ more efficient than $\mathrm{A} .$ Both worked together for 5 days. C alone completes the remaining work in 7 days. $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ will complete the same work in?

$\frac{38}{7}$ days

$\frac{40}{7}$ days

5 days

6 days

Question 10:

A Farmer takes a loan of Rs. 70,000 for 10 years. The rate of interest for first year is $18 \%$, next 3 years is $16 \%$ and the interest for rest years is half of the first year. Find the total interest?

Rs. 79,000

Rs. 84,000

Rs. 78,500

Rs. 78,300