**The area of a rhombus is 216 cm**^{2}and the length of its one diagonal is 24 cm. The perimeter ( in cm) of the rhombus- 52
- 60
- 120
- 100

Answer : Option B.

Area of rhombus = 1/2 × d1 × d2 where d1 and d2 are lengths of diagonal 1 and 2

So, 216 = 1/2 × 24 × d2

=> d_{2}= 18cm

In ▲DOC, a^{2}+ ( 18/2 )^{2}= 144 + 81 = 225

Therefore, a = √225 = 15cm

So, perimeter = 4a = 4 × 15 = 60cm

So, Ans. is option B**The perimeter of an isosceles triangle is 544 cm and each of the equal sides is 5/6 times the base. What is the area (in cm**^{2}) of the triangle?- 38172
- 18372
- 31872
- 13872

Answer : Option C.

Perimeter = 544

x + 5x/6 + 5x/6 = 544

Therefore x = 204

Let. AB = AC = a = 5x/6

=> a = 5/6 × 204, A = 170

Now, in ▲APC, 1702 = h^{2}+ 102^{2}

h^{2}= 170^{2}- 102^{2}

=> h = √18496 = 136

=> area of ▲ABC = 1/2 × 204 × 136 = 13872 cm^{2}

**A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. The number of cones thus formed is**- 140
- 132
- 112
- 126

Answer : Option D.

**If the ratio of the diameters of two right circular cones of equal height be 3: 4, then the ratio of their volumes will be**- 3:4
- 9:16
- 16:9
- 27:64

Answer : Option B.

**The sum of two numbers is equal to 15 and their arithmetic mean is 25 per cent greater than their geometric mean. Find the numbers.**- 5 & 10
- 3 & 12
- 1 & 14
- 6 & 9
- None of these

Answer : Option B.

AM of 2 numbers is a+b/2.GM of 2 numbers is √a+b.When sum of 2

numbers is 15, their AM is 7.5. AM = 1.25 (GM)

=> GM =7.5/1.25 = 6. Hence 36 = ab. So product of 2 numbers is 36. Try by

options.2nd is the correct answer.SBI Preparation Links- Sample Aptitude Questions of SBI
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**The product of the digits of a two-digit number is twice as large as the sum of its digits. If we subtract 27 from the required number, we get a number consisting of the same digits written in the reverse order. Find the number.**- 36
- 27
- 63
- 88
- None of these

Answer : Option C.

Go by options. 3rd option is the answer because 63 => product of digits = 6*3 = 18.

Sum of digits = 6 + 3 = 9. Hence product of digits is twice as the sum of the digits. Also 63 – 27 = 36.

So digits are reversed.**The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What will be the weight of the new person?**- 76
- 76.5
- 85
- 80
- 90

Answer : Option C.

Increased wt. of 8 persons = 8 × 2.5 = 20 kg

wt. of new person = 65 + 20 = 85 kg**50% of a number is 18 less than two-third of that number. Find the number.**- 123
- 115
- 119
- 108
- 101

Answer : Option D.

Let the no. be x

Given : 50x/100 = 2x/3 – 18

½ x – 2/3 x = - 18

=> x = 108**Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?**- 648
- 1800
- 2700
- 2000
- 3080

Answer : Option B.

Let the no. of bottles be ‘B’. Using chain rule:

(6×1)/270 = (10×4)/B => B = 1800**At 60% of its usual speed, a train of length L meters crosses platform 240 meters long in 15 seconds. At its usual speed, the train crosses a pole in 6 seconds. What is the value of L (in meters)?**- 140
- 225
- 220
- 480
- 240

Answer : Option D.

Let usual speed = S m/s.

According to the question,

60% of S=

9S= L+240………… (i)

Also given that, S = L/6

L = 6S …. (ii)

From (i) & (ii)

=> 9S= 6S+240

=> 3S= 240

S=80 m/s

From (ii)

L= 6×80 =480 m