Quant Quiz

1. The ratio of the number of students studying in Schools A, B and C is 4 : 8 : 3 respectively. If the number of students studying in each of the schools is increased by 80%, 20% and 60% respectively, what will be the new ratio of the number of students in Schools A, B and C.
(1) 8 : 3 : 4
(2) 4 : 2 : 3
(3) 2 : 3 : 4
(4) Can’t say
(5) None of these

2. A person covered some distance in 24 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
(1) 900 km
(2) 1350 km
(3) 675 km
(4)2700 km
(5) None of these
3. A sum of Rs. 2135 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is
(1) Rs. 420
(2) Rs. 735
(3) Rs. 980
(4) Rs. 1200
(5) None of these
4. A person sold 160 mangoes for the C.P. of 200 mangoes. His gain percent is
(1) 10%
(2) 15%
(3)12½%
(4) 25%
(5) None of thes
5. In how many different ways can the letters of the word DESIGN be arranged so that the vowels are at the two ends?
(1) 48
(2) 72
(3) 36
(4) 24
(5) None of these
6. A certain fraction is equivalent to 3/5 . If the numerator of the fraction is increased by 1 and the denominator is decreased by 1, the new fraction is equivalent to 2/3 . What is the sum of numerator and denominator of the original fraction?
(1) 40
(2) 32
(3) 48
(4) 24
(5) 16
7. A shopkeeper sell his articles at cost price but uses 900 gm weight for 1200 gm weight. His profit percentage is
(1) 33.33%
(2) 25%
(3) 16.66%
(4) 20%
(5) None of these
8. A car runs at the speed of 60 kms per hour when not serviced and runs at 72 kms/hr. when serviced. After servicing the car covers a certain distance in 12 hours. How much time will the car take to cover the same distance when not serviced?
(1) 16.4 hours
(2) 13 hours
(3) 16 hours
(4) 14.4 hours
(5) None of these
9. The average of five positive numbers is 64. The average of the first two numbers is 59 and the average of last two numbers is 63. What is the third number?
(1) 76
(2) 56
(3) 86
(4) Cannot be determined
(5) None of these
10. The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 1200, then the income of A is
(1) Rs. 2550
(2) Rs. 2700
(3) Rs. 3000
(4) Rs. 3300
(5) None of these
Answers:
1. (5)
Required ratio = (4 × 180) : (8 × 120) : (3 × 160) = 3 : 4 : 2

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2. (2)
Let the total distance be 2D. Now
D = 675
Total distance = 2D = 1350 km

3. (1)
3A = 4B = 7C
A : B : C = 1/3 : 1/4 : 1/7 = 28 : 21 : 12
C’s share =  = 420

4. (4)
let CP of 200 mangoes =200
SP of 160 mangoes = 200
CP of 160 mangoes =160
Profit % =

5. (1)
Number of ways to arrange vowels = 2!
Number of ways to arrange consonants = 4!
Total Number of arrangements = 2! × 4! = 48

6. (1)
Let the numerator and denominator be 3x and 5x respectively. Now x = 5.
Required sum = 3x + 5x = 8x = 40

7. (1)


8. (4)

9. (1)
Third Number = 64 + (64 – 59) × 2 + (64 – 63) × 2 = 76
Or  64*5- 59*2-63*2=76

60. (3)
Let the incomes of A and B be 5x and 4x respectively. Now x = 600.
Income of A = 5x = 3000