DELHI POLICE CONSTABLE QUANT QUIZ

Question 1:

If

a^{3} + b^{3} = 1728

and

a + b = 12

then the value of

\sqrt{a b}

?

यदि

a^{3} + b^{3} = 1728

और

a + b = 12

हो तब

\sqrt{a b}

का मान ज्ञात करें?

\sqrt{\frac{52}{3}}

\sqrt{\frac{52}{3}}

\sqrt{50}

\sqrt{50}

\sqrt{40}

\sqrt{40}

\sqrt{\frac{49}{3}}

\sqrt{\frac{49}{3}}

Question 2:

If $\frac{\sec θ + \tan θ}{\sec θ - \tan θ} = \frac{5}{3}$ , then, find the value of ' $\sin θ$ '.

यदि $\frac{\sec θ + \tan θ}{\sec θ - \tan θ} = \frac{5}{3}$ तब 'sin $θ$ ' का मान निकालें।

\frac{1}{4}

\frac{1}{4}

\frac{1}{3}

\frac{1}{3}

\frac{3}{2}

\frac{3}{2}

\frac{3}{4}

\frac{3}{4}

Question 3:

If $A$ is $40 %$ less than $B$ and $C$ is $40 %$ of the sum of $A$ and $B$ , then by what percentage is $B$ greater than $C$ ?

यदि $A, B$ से $40 %$ कम है और $C, A$ और $B$ के योग का $40 %$ है, तो $B, C$ से कितने प्रतिशत अधिक है?

60

%

60

%

40.125

%

40.125

%

56.25

%

56.25

%

36

%

36

%

Question 4:

The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother.

40 years

42 years

48 years

50 years

Question 5:

What is the square root of $15 - 4 \sqrt{14}$ ?

$15 - 4 \sqrt{14}$ का वर्गमूल क्या है?

2 \sqrt{2} - \sqrt{7}

2 \sqrt{2} - \sqrt{7}

3 \sqrt{2} - 2 \sqrt{7}

3 \sqrt{2} - 2 \sqrt{7}

\sqrt{15} - \sqrt{7}

\sqrt{15} - \sqrt{7}

\sqrt{5} - \sqrt{3}

\sqrt{5} - \sqrt{3}

Question 6:

Find the compound interest on Rs. 6400 at 25% p.a. for 3 years.

Rs.6050

Rs.6150

Rs.6000

Rs.6100

Question 7:

If a train crosses a km-stone in 12 seconds, how long will it take to cross $91$ st $km$ -stones completely if its speed is $60 km / hr$ ?

1 hr 30 \min

1

घंटा

30

मिनट

1 hr 30 \min 12 \sec

1

घंटा

30

मिनट

12

सेकंड

1 hr 51 \min

1

घंटा

12

सेकंड

1 hr 1 \min 3 \sec

1

घंटा

40

मिनट

12

सेकंड

Question 8:

The $CP$ of 20 articles is equal to the SP of 30 articles. What is the profit or loss percentage.

33.33 %

33.33 %

25.5 %

25.5 %

10 %

10 %

35 %

35 %

Question 9:

Simplify : 3x (x + 4) – x (x - 2)

2 x^{2} + 14 x

2 x^{2} + 14 x

4 x^{2} - 14 x

4 x^{2} - 14 x

4 x^{2} + 14 x

4 x^{2} + 14 x

2 x^{2} - 14 x

2 x^{2} - 14 x

Question 10:

A alone can do a piece of work in 24 days. The time taken by A in completing $\frac{1}{3}$ of the work is equal to the time taken by B in completing $\frac{1}{2}$ of the work. In what time will A and B together complete the work?

A अकेला किसी कार्य को 24 दिनों में कर सकता है। $\frac{1}{3}$ कार्य को पूरा करने में A द्वारा लिया गया समय, कार्य के $\frac{1}{2}$ को पूरा करने में B द्वारा लिए गए समय के बराबर है। A और B मिलकर उस कार्य को कितने समय में पूरा करेंगे?

9 days

10 days

12 days

\frac{48}{5}

days

\frac{48}{5}

दिन

DELHI POLICE CONSTABLE QUANT QUIZ

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