Q.2. If a^3 + b^3 = 19 and ab = – 6, then what is the value of a + b?
(A) 5
(B) 7
(C) 1
(D) – 5
Q.3. A circle is inscribed in a triangle ABC. It touches the sides AB, BC and AC at the points R, P and Q respectively. If AQ = 4.5 cm, PC = 5.5 cm and BR = 6cm, thentheperimeterof the triangle ABC is:
त्रिभुज ABC में एक वृत्त अंकित है। यह भुजाओं AB, BC और AC को क्रमशः बिंदु R, P और Q पर स्पर्श करता है। यदि AQ = 4.5 सेमी, PC = 5.5 सेमी और BR = 6 सेमी है, तो त्रिभुज ABC का परिमाप है:
(A) 28 cm.
(B) 30.5 cm
.
(C) 32 cm.
(D) 26.5 cm.
Q.4. What is the fourth proportional to 72, 168 and 150?
(A) 450
(B) 300
(C) 350
(D) 400
Q.5. If 4 – 2 sin^2 θ– 5 cos θ = 0, 0^o < θ < 90^o , then the value of sin θ + tan θ is:
Q.6. What is the remainder when 6729 is divided by 35?
(A) 11
(B) 7
(C) 9
(D) 13
Q.7. At 10% discount the selling price of an article is MRs 4500, what is the selling price (in Rs) if the discount is 27.5%?
(A) 4000
(B) 3625
(C) 3500
(D) 3125
Q8. Ifp + q + r = 19,p2 + q2 + r 2 = 133andpr = q2 , then the difference between r and p is:
(A) 5
(B) 3
(C) 6
(D) 4
Q.9. What is the reflection of the point (5, 2) in the linex = –3?
(A) (– 11, 2)
(B) (– 11, – 2)
(C) (11, – 2)
(D) (11, 2)
Q10. A sold an article at a loss of 15%. Had he sold it for, Rs. 30.60 more, he would have gained 9%. To gain 10%, he should have sold it for:
(A) Rs. 132
(B) Rs. 140.25
(C) Rs. 128.40
(D) Rs. 130
Answer Key:-
1-Sol-(3)
2-Sol-(3)
3-Sol-(3)
4-Sol-(3)
5-Sol-(2)
6-Sol-(3)
7-Sol-(2)
8-Sol-(A)
9-Sol-(A)
10-Sol-2)
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MAHENDRA GURU