UP LEKHPAL QUANT QUIZ

Question 1:

What is the value of $\sin ^{2} 60+\tan ^{2} 45+\sec ^{2} 45-\operatorname{cosec}^{2} 30 ?$

4

$\frac{1}{4}$

$-\frac{1}{4}$

$-4$

Question 2:

Which of the Following pair are not Co-prime :

( 5 , 8 )

(6 , 13 )

(157 , 296 )

(957 , 645)

Question 3:

A can do a work in 10 days and $B$ in 15 days. How many days will both take together to complete the work?

2 days

4 days

6 days

8 days

Question 4:

Successive discounts of $10 \%, 20 \%$ and $50 \%$ will be equivalent to a single discount of

$36 \%$

$64 \%$

$80 \%$

$56 \%$

Question 5:

If the diameter of a sphere is decreased by $25 \%$, its curved surface area will be decreased by:

$43.25 \%$

$43.50 \%$

$43.75 \%$

$44.25 \%$

Question 6:

What is the height of an equilateral triangle whose each side is 4 cm?

$\sqrt{3}$ cm

$2 \sqrt{3}$ cm

$3 \sqrt{3}$ cm

$4 \sqrt{3}$ cm

Question 7:

A clerk received as annual salary of Rs. 3,660 in the year 1975 . This was 20 % more than his salary in 1974 . What was his salary in 1974 ?

Rs. 3,005

Rs. 3,000

Rs. 3,500

Rs. 3,050

Question 8:

What should be missing digit so that the number $572$_$674$ become exactly divisible by 11 ?

3

4

6

2

Question 9:

$\operatorname{Lt}_{x \rightarrow 0}(\cos x)^{1 /x3}$ equals:

1.0

0.0

$\frac{1}{e}$

$-1$

Question 10:

What value will come in place of the question mark (?) in the following question?

$1, ?, 3,15,105,945$

2

$1.5$

$0.5$

1