1. A sum of money is distributed among 14 persons, each one of them got Rs 300 more than when the same amount was distributed equally to 21 persons. What is the sum?
(1) Rs 12,800 (2) Rs 12,600
(3) Rs 14,800 (4) Rs 15000
(5) None of these
2. Mukesh sold an item for Rs 8,400/- and incurred a loss of 25%. At what price should he have sold the item to have gained a profit of 40%?
(1) Rs 15,680/- (2) Rs 16,220/-
(3) Rs 14,540/- (4) Cannot be determined
(5) None of these
3. What should be the simple interest accrued in 4 years on a principle of Rs 16,500/- @ 16 p.c.p.a.?
(1) Rs 11,560/- (2) Rs 10,250/-
(3) Rs 12,500/- (4) Rs 9,980/-
(5) None of these
4. A truck covers a distance of 360 kms in 8 hrs. A car covers the same distance in 6 hrs. What is the respective ratio between the speed of the truck and the car?
(1) 3 : 5 (2) 3 : 4
(3) 1 : 2 (4) 4 : 5
(5) None of these
5. In order to pass in an exam a student is required to get 975 marks out of the aggregate marks. Piya got 870 marks and was declared failed by 7 percent. What are the maximum aggregate marks a student can get in the examination?
(1) 1500 (2) 1000
(3) 1200 (4) Cannot be determined
(5) None of these
6. The average of four consecutive number A, B, C and D respectively is 56.5. What is the product of A & C?
(1) 3363 (2) 3306
(3) 3360 (4) 3080
(5) None of these
7. At present Kavita is twice Sarita’s age. Eight years hence, the respective ratio between Kavita’s and Sarita’s ages than will be 22 : 13. What is Kavita’s present age?
(1) 26 years (2) 18 years
(3) 42 years (4) 36 years
(5) None of these
8. What would be the area of a square whose diagonal measures 28 cms.?
(1) 288 sq. cm (2) 514 sq.cms
(3) 514 sq.cms (4) 392 sq. cms
(5) None of these
9. On children’s day sweets were to be equally distributed amongst 200 children. But on that particular day 40 children remained absent; hence each child got 2 sweets extra. How many sweets were distributed?
(1) 3000 (2) 1500
(3) 2000 (4) 1600
(5) Cannot be determined
10. The perimeter of a square is one-fourth the perimeter of a rectangle. If the perimeter of the square is 44 cms and the length of the rectangle is 51 cms, what is the difference between the breadth of the rectangle and the side of the square?
(1) 30 cms (2) 18 cms
(3) 26 cms (4) 32 cms
(5) None of these
Answers with Explanations: (1-10):
Answers with Explanations: (1-10):
1.(2): Let the money = x
x/14 – x/21 = 300
3x-2x/42 = 300
x = Rs 12600
2. (1): selling price = 8400/0.75 x 1.40 = 15680
3. (5): SI = PRT/100
= 16500x16x14/100 = Rs 10560
4. (2): Speed of truck = 360/8 = 45km/hr
Speed of car = 360/6 = 60 km/hr
Ratio = 45 : 60 = 9 : 12 = 3 : 4
5. (1): let total marks be x
7x/100 – 870 = 975
X = 105x100/7 = 1500
6. (5): middle no. = 56.5
So no. will be 55, 56, 57, 58
Product of A & C = 55 x 57 = 3135
7. (4): let Sarita’s age be x
Kavita’s Age = 2x
8 year hence Kavita’s age = 2x + 8
Sarita’s age = x + 8
k/5 = 2x + 8/x + 8 x 22/13
26x + 104 = 22x + 176
4x = 72
X = 18
Kavita’s age = 2 x 18 = 36 years
8. (5):
9. (4): x/160 – x/200 = 2
40x/200x160 = 2
X = 2x200x4 = 16oo sweets were distributed
10. (3) 4a = ¼ x 2 (l+b)
44 = ¼ x 2 (51+b)
88 - 51 + b
B = 37
Side of square = 44/4 = 11
Difference = 37 – 11 = 26 cm.
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