Q2. The highest common factor of three numbers is 24. If these numbers are in the ratio of 35 : 35 : 77 then what is the smallest number ?
(a) 420
(b) 210
(c) 840
(d) 1680
Q3. The sides BC, CA and AB, of a ∆ABC are produced in order, forming exterior angle ACD,BAE,and CBF, then
Angle ACD+BAE+CBF is equal to:
(a) 540°
(b) 360°
(c) 180°
(d) None of these
Q4. An item having Rs. 840 as cost price is sold at 10% profit and the new buyer sold it at 5% loss. The marked price of the item (in rupees) is
(a) 877.80
(b) 798
(c) 924
(d) 37.80
Q5. If 3sinθ + 5cosθ= 5 then 5sinθ-3cosθ=?
(a) 3
(b) –3
(c) 4
(d) ± 3
Q6. Two companies offer a successive discount of 10%, 10%, 30% and 40%, 5%, 5% respectively on a product of marked price Rs. 10,000. What is the extra saving after selection the butter option?
(a) Rs. 205
(b) Rs. 355
(c) Rs. 155
(d) Rs. 255
Q7. If secθ=x+1/4x then secθ+tanθ=?
(a) 2x
(b) 1/2x
(c) 2x or 1/2x
(d) None of these
Q8. If sec4A=cosec (A-20°) Where 4A is an acute angle, then find the value of A.
(a) 21°
(b) 20°
(c) 24°
(d) 22°
Q10. In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If angle AOB=130°then angle BDC=?
(a) 30°
(b) 25°
(c) 50°
(d) 60°
Q11. In a partnership, A invests 1/4 of the capital of 1/3 of time, B invests 1/6 of the capital for 1/4 of time and C invests rest of the capital for the whole time. Out of total profit of Rs. 9,962; A’s share is
(a) 1,172
(b) 1,586
(c) 2,804
(d) 4,102
Directions (12– 14): The pie chart given below shows the expenses of a family on various items and its savings during the year 2001. Study the graph and answer question number 46 to 50.
A: FOOD
B: SAVINGS
C: OTHER ITEMS
D: TRANSPORT
E: EDUCATION
F: HOUSING OF CHILDREN
G: CLOTHING
Q12. What percent of the income was spent on transport and other items together?
(a) 25%
(b) 20%
(c) 30%
(d) 32%
Q13. If the total income of the family was Rs. 100000, how much money was spent on the education of children?
(a) Rs. 10000
(b) Rs. 12000
(c) Rs. 15000
(d) Rs. 23000
Q14. If the total income for the year was Rs. 100000, the difference of the expenses (in rupees) between Housing and transport was
(a) 15000
(b) 12000
(c) 7000
(d) 10000
Q15. In a circle of radius 17 cm, two parallel chords are drawn on opposite sides of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is:
(a) 23 cm
(b) 30 cm
(c) 15 cm
(d) None of these
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