UP LEKHPAL QUANT QUIZ

Question 1:

In a triangle $\mathrm{ABC}, \mathrm{AC}=20 \mathrm{~cm}, \mathrm{BC}=10 \mathrm{~cm}$ and $\angle B=60^{\circ}$, then find the value of $\angle A$.

$\sin ^{-1}\left(\frac{\sqrt{3}}{8}\right)$

$\sin ^{-1}\left(\frac{\sqrt{5}}{6}\right)$

$\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$

None of these.

Question 2:

Which is the correct ascending order of the given numbers?

$\frac{3}{10}, \frac{4}{15}, \frac{1}{3}$

$\frac{4}{15}, \frac{1}{3}, \frac{3}{10}$

$\frac{1}{3}, \frac{3}{10}, \frac{4}{15}$

$\frac{4}{15}, \frac{3}{10}, \frac{1}{3}$

Question 3:

The present average age of $A, B$ and $C$ is 22 years. Three years ago, the average age of $B$ and $C$ was 18 years. Find A's age 9 years hence.

24 years

27 years

30 years

33 years

Question 4:

If the length of the sides of a triangle are in the ratio $6: 7: 8$ and the inradius of the triangle is $4 \mathrm{~cm}$, then the altitude of the triangle corresponding to the largest side as base is:

$21 \mathrm{~cm} $

$7 \mathrm{~cm} $

$14 \mathrm{~cm} $

$10.5 \mathrm{~cm} $

Question 5:

Find the least multiple of 23, which when divided by 18,21 and 24 leaves the remainder 7, 10 and 13 respectively.

3013.0

3024.0

3002.0

3036.0

Question 6:

K and L can do a work in 15 and 20 days respectively. They work together for 5 days and leave. Calculate the unfinished portion of the work.

$\frac{7}{12}$

$\frac{5}{12}$

$\frac{1}{13}$

$\frac{1}{4}$

Question 7:

The HCF of two number is 89 and their LCM is 2136 . The difference between the two numbers is:-

979

347

445

575

Question 8:

In a two-digit number, its units digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 460 . The number is:

64

36

46

48

Question 9:

Suresh bought some pens at the rate of 3 for Rs.2 and the same pens at the rate of 5 for Rs. 4 , If he sold all these at the rate of 6 for Rs. 5 then find the profit/loss %

$13 \frac{7}{11}$ Profit

$32 \frac{2}{3}$ Profit

$47 \frac{2}{13} \operatorname{Loss} $

$26 \frac{3}{16}$ Loss

Question 10:

Solve the following expression:

203÷7+917÷7{8.86+4.27+0.09÷(-24÷8)}

39

29

30

36