31. - Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
1) 1260
2) 700
3) 900
4) 870
32 - If the diameter of a sphere is 14 cm, then what is the surface area (in cm2) of the sphere?
1) 616
2) 308
3) 462
4) 636
33 - After two successive discounts of 20% and 35%, an article is sold for Rs 50700. What is the marked price (in Rs) of the article?
1) 92500
2) 98500
3) 97500
4) 94000
34 - Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?
1) 400
2) 600
3) 800
4) 900
35 - The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?
1) 16
2) 20
3) 24
4) 32
36 - If the price of pen decreases by 20%, then a man can buy 10 more pens for Rs 100. What is the new price (in Rs) of each pen?
1) 1
2) 2
3) 4
4) 5
37 - After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?
1) 4200
2) 3962
3) 4150
4) 4300
38- A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?
1) 67
2) 134.4
3) 145.9
4) 160
39 - A certain sum of money triples itself in 5 years at simple interest. In how many years it will be five times?
1) 5
2) 8
3) 10
4) 15
40 - If x + (1/x) = 2, then what is the value of x64 + x121?
1) 0
2) 1
3) 2
4) – 2
41 - If a + b + c = 27, then what is the value of (a – 7)3 + (b – 9)3 + (c – 11)3 – 3(a – 7)(b – 9)(c – 11)?
1) 0
2) 9
3) 27
4) 81
42 - The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm2) of the triangle?
1) 39
2) 48
3) 57
4) 64
43 - If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?
1) 4√5
2) 6
3) 8
4) 12
44 - What is the simplified value of 1 + tan A tan (A/2)?
1) sin A/2
2) cos A
3) sec A
4) sin A
45 - G & AD are respectively the centroid and median of the triangle ∆ABC. The ratio of AG: AD is equal to
A) 3:2
B) 2:3
C) 2:1
D) 1:2
46 - A Point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its
A) centroid
B) incentre
C) orthocenter
D) circumcenter
47 - How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?
1) 8
2) 9
3) 10
4) 12
48. Successive discount of 10% , 20% and 50% will be equivalent to a single discount of-
a. 36%
b. 64%
c. 80%
d. 56%
49. A retailer offers the following discount schemes for buyers on an article-
I. Two successive discounts of 10%
II. A discount of 12% followed by a discount of 8%.
III. Successive discounts of 15% and 5%
IV. A discount of 20%
The selling price will be minimum under the scheme-
a. I
b. II
c. III
d. IV
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