If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB. (a)          33 (b)          30 ...

The marked price of an article is Rs 1700. If two successive discounts, each of x%, on the marked price is equal to a single discount of Rs 584.63, then what will be the selling price of the article if a single discount of x% is given on the marked price? (a) 1431 (b) 1343 (c) 1377 (d) ...

26% of goods were sold at a profit of 55%, while the remaining ere sold at x% loss. If the overall loss is 11%, then what is the value of x? (correct to one decimal place) (a) 30.3 (b) 34.1 (c) 33.3 (d) 35.1 Sol: 26% = → total goods. ATQ. 13 → 55% = 715 37 → x% = 50 → ...

A boy wrote successive whole numbers starting from 1 up to 800. In doing so, how many times did he write the digit 8? (a) 160 (b) 161 (c) 152 (d) 260 Sol: In line ⊣ 8, 18, 28, ---- 98 = 10 × 8 = 80 In line ⊣ 80, 81, 82, ------89 ⇒ 10 × 8 = 80 And Iine 800 = 1 ⇒ 80 + 80 + ...

A metallic wire of uniform cross-section is melted to form 28 small solid spheres of radius 12.6 cm each. If the radius of wire is 1/7   time more than the radius of each sphere, what is the length of the wire? (a)          260 cm ...

Let x =444133+831616-463°×3416-24662 then what is the unit digit of x ? (a)          8 (b)          2 (c)           0 ...

Find the value of  cot3A-3cotA/3 cot2A-1 (a)          cot²2A + tan²A (b)          tan²2A + cot²A (c)           tan3A ...

Ram travels a certain distance from his room at a constant speed. If his speed was 6km faster than he would take 18 hours less than the scheduled time. If he was 4km/hr. slow, he would take 14 hours more than the scheduled time. Find the distance covered by Ram? (a) 13530km (b) 13440km ...

In the figure, PQR is a right angle triangle with angle Q = 90, QR = 17.5 cm and PQ = 42 cm, with PR as a diameter of a semicircle and with QR as radius, a quarter circle is drawn. Find th e area of the shaded portion correct to two decimal places (a) 3380.125 cm² (b) 3540.251 (c) ...

Two solid hemisphere of radius 9 cm and 7 cm respectively are melted to form a metallic cone of radius 15 cm, what is the height of the cone (in cm) (a)          9.52 cm (b)          8.76 cm ...