REET MATHEMATICS QUIZ 4

Question 1:

The simplest value of:

\frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}}

\frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}}

का सरलतम मान क्या है?

\sqrt{3} (\sqrt{2} - 1)

\sqrt{3} (\sqrt{2} - 1)

\sqrt{2} (\sqrt{3} - 1)

\sqrt{2} (\sqrt{3} - 1)

\sqrt{3} - 1

\sqrt{3} - 1

\sqrt{2} - 1

\sqrt{2} - 1

Question 2:

A motor boat has speed $30 km / h$ in still water. It goes $60 km$ down stream and comes back in $\frac{9}{2}$ h. What is the speed of the stream?

स्थिर जल में एक मोटर नौका की चाल $30$ किमी/घंटा है । यह $60$ किमी धारा की दिशा में जाती है और $\frac{9}{2}$ घंटो में वापस आती है । धारा की चाल क्या है ?

5 km / h

8 km / h

10 km / h

12 km / h

Question 3:

45 men can dig a hole working 3 hours in a day in 8 days, then find in how many days 30 women can dig a hole which is twice deep of the earlier working 6 hours in a day.

18 days

6 days

12 days

24 days

Question 4:

4 + 4.44 + 44.4 + 4.04 + 444 - 20 = ?

4 + 4.44 + 44.4 + 4.04 + 444 - 20 = ?

472.88

472.88

480.88

480.88

495.22

495.22

577.2

577.2

Question 5:

The side $BC$ of as triangle $ABC$ is extended to the point $D$ . If $∠ A C D = 154^{\circ}$ and $∠ B = \frac{4}{7} ∠ A$ , then measure of $∠ B$ is equal to:

त्रिभुज $ABC$ में $BC$ भुजा को बिंदु $D$ तक बढ़ा दिया गया है। अगर $∠ A C D = 154^{\circ}$ और $∠ B = \frac{4}{7} ∠ A$ , तो $∠ B$ का माप बराबर है----:

54^{\circ}

54^{\circ}

56^{\circ}

56^{\circ}

55^{\circ}

55^{\circ}

60^{\circ}

60^{\circ}

Question 6:

By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube.

10

25

50

100

Question 7:

A train 270 metres long is running at a speed of

36 km

per hour, then it will cross a bridge of length 180 metres in:

45 \sec

45 \sec

50 \sec

50 \sec

35 \sec

35 \sec

40 \sec

40 \sec

Question 8:

There are 3 numbers are in the ratio

1 : 2 : 3

and their H.C.F. is 12 Find the number.

3 संख्याएं

1 : 2 : 3

के अनुपात में हैं तथा उनके म. स. 12 है। संख्या ज्ञात करें ?

12, 24, 48

12, 24, 48

12, 36, 72

12, 36, 72

12, 24, 36

12, 24, 36

24, 48, 96

24, 48, 96

Question 9:

If $x : y = 3 : 1$ then find $(x^{2} - y^{2}) : (x^{2} + y^{2})$ .

यदि $x : y = 3 : 1$ तो $(x^{2} - y^{2}) : (x^{2} + y^{2})$ का मान ज्ञात कीजिये|

4:5

5:4

2:9

9:2

Question 10:

Find the value of

$(22.99 + 17.01) \div 1.998 \times 3.997 - 41.998 + 644.199 =$ ?

मान ज्ञात कीजिए