Quantitative Aptitude Quiz - 28 | Bank exams | SSC

1. Two trains are 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time ( in seconds) which they take to cross each other is:  (S.S.C. 2004)

1. 9
2. 9.6
3. 10
4. 10.8

2. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours, while machine R can print them in 12 hours. All the machines are started at 9. a.m while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished? (BANK PO, 2003)

1. 11 : 30 a.m
2. 12 noon
3. 12 : 30 p.m
4. 1 p.m

3.In an examination,the percentage of students qualified to the number of students appeared from school A is 70%. In school B, the number of students appeared is 20% more than the students appeared from school A and the number of students qualified from school B is 50% more than the students qualified from school A. What is the percentage of students qualified to the number of students appeared from school B? (BANK PO, 1999)

1. 30%
2. 70%
3. 78.5%
4. 87.5%

4.The average of six number s is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of remaining two numbers? (BANK PO, 2003)

1. 4.5
2. 4.6
3. 4.7
4. 4.8

5.One - fifth of a number is equal to 5/8 of another number. If 35 is added to the first number, it becomes four times of the second number. The second number is ? (BANK PO, 1999)

1. 25
2. 40
3. 70
4. 125

6.The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one - third age of Neelam and half of Shaan's age is 5 : 9, then what is the school age of Shaan? (BANK PO, 2002)

1. 25 years
2. 30 years
3. 36 years
4. Cannot be determined.

7.A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of: (S.S.C 2003)

1. 9%
2. 10%
3. 10.5%
4. 11%

8.Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8 : 7. What are A's earnings? (BANK PO, 2002)

1. Rs 21,000
2. Rs 26,000
3. Rs 28,000
4. Data inadequate

9.10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed? (S.B.I PO 1999)

1. 6
2. 6 1/3
3. 6 2/3
4. 7 2/3

10.A boat covers a certain distance downstream in 1 hour, while it comes back in 1 1/2 hours. If speed of the stream be 3 kmph, what is the speed of the boat in still water? (BANK PO 2003)

1. 12 kmph
2. 13 kmph
3. 14 kmph
4. 15 kmph

Answers

1.(4)
Relative speed = (60 + 40) km/hr  = (100 x 5/18) m/sec = (250/9) m/sec
Distance covered in crossing each other = (140 + 160) = 300 m
Required time = (300 x 9/250) sec = 54/5 sec = 10.8 sec.

2.(4)
( P + Q + R)'s one hour work = (1/8+1/10+1/12) = 27/120
Work done by P, Q and R in 2 hours = (37/120 x 2) = 37/60
Remaining work = ( 1- 37/60) = 23/60
(Q + R)'s one hour work = (1/10 +1/12) = 11/60
Now, 11/60 work is done by Q and R in 1 hour.
So, 23/60 work will be done by Q and R in (60/11 x 23/60) = 23/11 hours = 2 hours
So, the work will be finished approximately 2 hours after 11 a.m, i.e around 1 p.m

3.(4)
Let the number of students appeared from school A = 100
Then, number of students qualified from school A = 70
Number of students appeared from school B = 120
Number of students from school B = (150/100 x 70) = 105
Required percentage = (105/120 x 100) = 87.5%

4.(2)
Sum of the remaining two numbers = (3.95 x 6) - {(3.4 x 2) + (3.85 x 2)} = 23.70 - (6.8 + 7.7) = 23.70 - 14.50 = 9.20
Required average = (9.2/2) = 4.6

5.(2)
Let the numbers be x and y. x/5 = 5y/8
y = 8x/25
Now, x+35 = 4y
x+35 = 32x/35
7x/25 = 35
Hence x = 125
y = 8x/25 = 8/25 x 125 = 40

6.(4)
Cannot be determined

7.(2)
Let C.P = Rs 100. Then, Marked Price Rs 110, SP = Rs 99
Discount %= (11/110 x 100)% = 10%

8.(4)
Data inadequate

9.(3)
10 men's 1 day work = 1/15
15 women's 1 day work = 1/12
(10 men + 15 women)'s 1 day work = (1/15 + 1/12) = 9/60 = 3/20
10 men and 15 women will complete the work in 3/20 = 6 2/3 days

10.(4)
Let the speed of boat in still water be x kmph. Then,
Speed downstream = ( x + 3) kmph, speed upstream = ( x - 3) kmph.
(x + 3) x 1 = (x - 3) x 3/2
2x + 6 = 3x - 9
x = 15 kmph