9500.Which of the following set of measurements will form a right angle triangle?
6, 9, 12
5, 8, 10
5, 5, 5$\sqrt{2}$
3, 4, 4$\sqrt{2}$
Explanation:
Right angled triangle=>$AB^{2}+BC^{2}=AC^{2}$
=>$5^{2}+5^{2}=(5\sqrt{2})^{2}$
=>25+25=$25\times 2$
=>50=50
=>$5^{2}+5^{2}=(5\sqrt{2})^{2}$
=>25+25=$25\times 2$
=>50=50
9502.The value of - $\sqrt{609+\sqrt{248+\sqrt{60+\sqrt{7+\sqrt{81}}}}}$
20
25
16
9
Explanation:
solve it from right to left=$\sqrt{81}=9 then add with \sqrt{7}=>we get,\sqrt{9+7}=>\sqrt{16}$=4
then $\sqrt{4+60}=>\sqrt{64}=8$
then $\sqrt{8+248}=\sqrt{256}=16$
then $\sqrt{16+609}=\sqrt{625}=25$
then $\sqrt{4+60}=>\sqrt{64}=8$
then $\sqrt{8+248}=\sqrt{256}=16$
then $\sqrt{16+609}=\sqrt{625}=25$
9504.The price of a house is decreased from rupees fifteen lakhs to rupees twelve lakhs. The
percentage of decrease is
percentage of decrease is
10%
20%
30%
40%
Explanation:
the price of house decreased from 15,00,000 to 12,00,000
so there difference =15,00,000-12,00,000=3,00,000=3 lakhs
the decreased percentage(%)=$\dfrac{3}{15}\times100$
=20%
so there difference =15,00,000-12,00,000=3,00,000=3 lakhs
the decreased percentage(%)=$\dfrac{3}{15}\times100$
=20%
9506.If 3 (t — 3) = 5 (2t + 1) then t = ?
-2
2
-3
3
Explanation:
3(t-3)=5(2t+1)
3t-9=10t+5
7t=-14
t=$\dfrac{-14}{7}$
t=-2
3t-9=10t+5
7t=-14
t=$\dfrac{-14}{7}$
t=-2
9508.The value of $\dfrac{1.75×1.75+2×1.75×0.75+0.75×0.75}{1.75 x 1.75- 0.75 x 0.75}$
3.5
6.25
1
2.5
Explanation:
the given question is in format of =$\dfrac{(a+b)^{2}}{a^{2}-b^{2}}$
therefore,=$\dfrac{(a+b)\times (a+b)}{(a+b) (a-b)}$
=$\dfrac{(a+b)}{(a-b)}$
ie.,=$\dfrac{1.75+0.75}{1.75-0.75}$
=2.5/1=2.5
therefore,=$\dfrac{(a+b)\times (a+b)}{(a+b) (a-b)}$
=$\dfrac{(a+b)}{(a-b)}$
ie.,=$\dfrac{1.75+0.75}{1.75-0.75}$
=2.5/1=2.5
9510.The value of $16^{3}\div 7^{3}$–$23^{3}$ is
-7728
7028
7728
-7718
Explanation:
$16^{3}+7^{3}-23^{3}$ is in the format of=$a^{3}+b^{3}-c^{3}$
then first take$ a^{3}+b^{3}=>16^{3}+7^{3}$ $[(a+b)(a^{2}-ab+b^{2})]$
$=>(16+7)(16^{2}-16(7)+7^{2})$
$=>23(256-112+49)$
=>23(144+49)
=>23(193)
=>4439
$7^{3}$=12167
$16^{3}+7^{3}-23^{3}$=4439-12167=-7728
then first take$ a^{3}+b^{3}=>16^{3}+7^{3}$ $[(a+b)(a^{2}-ab+b^{2})]$
$=>(16+7)(16^{2}-16(7)+7^{2})$
$=>23(256-112+49)$
=>23(144+49)
=>23(193)
=>4439
$7^{3}$=12167
$16^{3}+7^{3}-23^{3}$=4439-12167=-7728
9512.Find the next term of 4 in the series is 1, 1, 2, 8, 3, 27, 4, ...
31
29
16
64
Explanation:
$1,1^{3},2,2^{3},3,3^{3},4 then 4^{3} $will come in series
therefore,$4^{3}=64$
9514.Three angles of a triangle are x - 30°, x - 45°, x + 15°, find the value of x.
Ꮾ0°
40°
80°
100°
Explanation:
Sum of the angles of triangle=$180^{0}$
therefore,x-30+x-45+x+15=$180^{0}$
3x-60=$180^{0}$
3x=$240^{0}$
x=$240^{0}$/3
x=$80^{0}$
therefore,x-30+x-45+x+15=$180^{0}$
3x-60=$180^{0}$
3x=$240^{0}$
x=$240^{0}$/3
x=$80^{0}$
9516.The difference between simple interest and compound interest for a sum of Rs. 12,000 lent
at 10% per annum in 2 years, is
at 10% per annum in 2 years, is
Rs.80
Rs.90
Rs.120
Rs.100
Explanation:
Principal=Rs.12,000
Rate of interest=10%
years=2years
SI=$\dfrac{P\times N\times R}{100}$
=$\dfrac{12,000\times 2\times 10 }{100}$
=$\dfrac{240000}{100}$
=2400
CI=$A=P(1+\dfrac{r}{100})^ n-P$
$=12,000(1+\dfrac{10}{100})^2-12,000$
$=12,000(1+0.1)^2-12,000$
$=12,000(1.1)^2-12,000$
$=12,000\times 1.21-12,000$
$=14,520-12,000$
CI=Rs.2520
Diff btw CI and SI=2520-2400
=Rs.120
Rate of interest=10%
years=2years
SI=$\dfrac{P\times N\times R}{100}$
=$\dfrac{12,000\times 2\times 10 }{100}$
=$\dfrac{240000}{100}$
=2400
CI=$A=P(1+\dfrac{r}{100})^ n-P$
$=12,000(1+\dfrac{10}{100})^2-12,000$
$=12,000(1+0.1)^2-12,000$
$=12,000(1.1)^2-12,000$
$=12,000\times 1.21-12,000$
$=14,520-12,000$
CI=Rs.2520
Diff btw CI and SI=2520-2400
=Rs.120
9518.If you stand in a rectangular room, where two adjacent walls are covered with plane
mirrors, the total number of your images will be
mirrors, the total number of your images will be
infinity
1
3
0
9520.Audible range of rabbit is
100 - 32,000 Hz
1000–1,50,000 Hz
1,000 - 1,00,000 Hz
900 - 2,00,000 Hz
9522.Why vegetables and fruits turn brown on cutting?
Due to the reaction between phemolic compound and oxygen in air
Due to the formation of inorganic compound
Due to the formation of salts
Due to the formation of bases
9526.Consider the statements :
(a) Sterility is caused by the deficiency of Vitamin K.
(b) Night blindness is caused by the deficiency of Vitamin D.
(a) Sterility is caused by the deficiency of Vitamin K.
(b) Night blindness is caused by the deficiency of Vitamin D.
Both (a) and (b) are false
(a) is false and (b) is true
(a) is true and (b) is false
Both (a) and (b) are true
9528.The valve which regulates the blood flow fron right ventricle to the pulmonary artery
Semi-lunar valve
Auriculo-ventricular valve
Bi Cuspid valve
Tri Cuspid valve
9530.Match List I and List II :
List I - List II
(a) Glycolysis 1. O2 is not utilised
(b) Krebs cycle 2. ATP are produced
(c) Electron transport chain 3. Oxidation of pyruvic acid
(d) Fermentation 4. Occurs in cytoplasm
List I - List II
(a) Glycolysis 1. O2 is not utilised
(b) Krebs cycle 2. ATP are produced
(c) Electron transport chain 3. Oxidation of pyruvic acid
(d) Fermentation 4. Occurs in cytoplasm
3 4 2 1
4 3 2 l
1 3 4 2
2 4 1 3
9532.Who among the Indian-born American scientist bagged the prestigious award Lemelson-MIT prize worth 5,00,000 dollars?
Ajit Doval
Mohamed Nasheed
Ramesh Raskar
Jagdish Tytler
9534.Who won the GD Birla Award for Scientific Research for the year 2016?
Sanjeev Galande
Raghavan Varadarajan
Sriram Ramasamy
Sanjay Mittal
9536.Who is the Chief Information Commissioner of India in September 2016?
P.K. Sinha
R.K. Narayanan Visser
R.K. Mathoor
R.K. Koul
9538."Operation calm down" is associated with which state?
Tamillnadu
Andhra Pradesh
Jammu Kashmir
Bihar
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