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Q1.) If a =and b = , then the value of is
A) 1030 B) 1000 C) 970 D) 930
Sol:
=
=
2.) If a + b + c = 6, a2 +b2+c2 =14 and a3 + b3 + c3 =36, then the value of abc is-
यदि a + b + c = 6, a2 +b2+c2 =14 और a3 + b3 + c3 =36, तो abc का मान है-
A) 3 B) 6 C) 9 D) 12
Sol:
or
Let a = 1, b = 2 and c = 3, then it will satisfy all the three condition. Thus
abc = 1×2×3=6
3.) If equation x + 2y =5, 3x + ky + 15 = 0 has no solution, then find the value of k.
यदि समीकरण x + 2y =5, 3x + ky + 15 = 0 के कोई भी हल नहीं हैं तो k का मान ज्ञात कीजिये
A) 2 B) 3 C) 5 D) 6
Sol
k = 6
4.) The graphs of x + 2y = 3 and 3x – 2y =1 meets y-axis at two points having distance-
x + 2y = 3 और 3x - 2y = 1 के ग्राफ़ में y- अक्ष पर दो बिंदुओं पर प्रतिच्छेद करते हैं जिनके बीच की दूरी है-
A) 8/3 B) 2 C) 4/3 D) 1
Sol :
x = 0
y = 1.5
y = – 0.5
D = 1.5 – (– 0.5) = 2
5.) If , then find the value of
यदि ,तो का मान हैं |
A) 0 B) 0.5 C) 1 D) 1.5
Sol:
6.)
A) 4 B) 5 C) 6 D) 8
Sol:
7.) Orthocenter of a right angle triangle lies
सम कोण त्रिभज में लम्बकेंद्र बनता है
A) Outside triangle/त्रिभुज के बहार B) At right angle vertex/ सम कोण के शीर्ष पर
C) On hypotenuse/ कर्ण पर D) Inside the triangle/ त्रिभुज के अंत:
Sol:
At right angle vertex
8.) ABCD is a rhombus whose side AB= 6cm and =120o then find the length of BD.
ABCD एक समचतुर्भुज है जिसकी भुजा AB = 6 सेमी और = 120o हैं तो BD की लंबाई ज्ञात कीजिये ।
A) 4 B) 4 C) 6 D) 6
Sol :
= 180 – 120 = 60o
Line opposite to 60o in a rhombus is equal to length of side
BD = 6
9.) A sells an article to B at a profit of 25% and B sells it to C at 20% profit and C sells to D at 10% profit. If D pays a price of Rs. 330 find the price of A.
A, B को कोई वस्तु 25% लाभ पर बेचता है और B, C को वही वस्तु 20% लाभ पर बेचता है और C, D को उसी वस्तु को 10% लाभ पर बेचता है | यदि D इस वस्तु के लिए 330 रु देता है तो ज्ञात कीजिये A ने किस मूल्य पर ख़रीदा होगा |
A) 200 B) 230 C) 240 D) 250
Sol :
10.) If 4 litre water is evaporated from 12 litre solution of 7% acid, then find the new percentage of acid in solution.
यदि 7% अम्ल वाले मिश्रण से 4 लीटर पानी का वाष्पीकरण हो जाता है, तो मिश्रण में अम्ल का नया प्रतिशत ज्ञात कीजिये ।
A) 8% B) 9.25% C) 10.5% D) 11.75%
Sol
Answer Key
Q1.) C
Q2.) B
Q3.) D
Q4.) B
Q5.) B
Q6.) B
Q7.) B
Q8.) D
Q9.) A
Q10.) C