Basic General Knowledge Questions & Answers



1. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance(in km) is
(1)40km               
(2)28                 
(3)42
(4)48                       
(5)none of these

Answer: (1) 

Let distance be x kmph and speed y kmph
 x/y - x/(y+3) = 40/ 60 ............ (i)
 x/(y-2) - x/y = 40/60 .............. (ii)
 from eqution (i) & (ii)
 y = 12 kmph
 x = 40 km

2. A bag contains 6 red and 3 white balls.Four balls are drawn out one by one and not replaced. What  is the probability that they are alternatively of different colours?
(1)4/42   
(2)5/84                           
(3)7/84           
(4)5/42 
(5)none of these

Answer: (4)

Red = 6, White = 3
 P(E) = RWRW + WRWR
 P(E) = 6/9 * 3/8 * 5/7  * 2/6  + 3/9 * 6/8* 2/7 * 5/6
 =  5/42

3. What will be the compound interest accrued on an amount of Rs. 10.000 at the rate of 20 p.c.p.a. two years if the interest is compounded half yearly?
(1)Rs.4,400                           
(2)Rs.4,600                   
(3)Rs.4,641
(4)Rs.4,680                           
(5)None of these

Answer: (3)

 P = 10,000, R = 10 % , T = 4  years
 A = P (1 + r/100)^n
 = 10000 (1 + 10/100) ^4
 = 10000 (11/10)^4   = 14641
 C.I = 14641 - 10, 000 = 4641

4. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn iS a face card (Jack, Queen and King only)?
(1)1/13     
(2)3/13   
(3)1/4     
(4)9/52   
(5)None of these

Answer: (2)

No. of face cord = 4 * 3 = 12
 P (E) = 12/52 = 3/13

5. A monkey tries to ascend a greased pole 14 m high. He ascends 2 m in first  minute and slips 1 min  next alternate minute. If he continues to ascend in this fashion, how long does he take to reach the top?
(1)25                       
(2)24                                 
(3)22
(4)30                         
(5)26

Answer: (1)

 Distance covered in 2 min = 2-1 = 1 meter
 2 min = 1
 24 min = 12
 in next minute ascend = 2 m
 25 minute = 14 meter

6. Thirty men can do a work in 24 days. In how many days can 20 men do the work , given that timespent  per day is increased by 1/3 of the previous time.
(1)30                   
(2)28                                   
(3)36
(4)27                   
(5none of these

Answer: (4)

Let no of days required be x
 30 * 24 = 20 * x * (1 + 1/3)
 x  = 27 days

7. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then value  of x is
(1)15                         
(2)16                               
(3)18
(4)20                         
(5)none of these

Answer: (2)

Since SP of x = CP of 20
 SP/CP = 20/x
 profit %  = (20 - x)* 100/x
 So,(20 -x)100/x  = 25
 x = 16

8. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit
(1)Rs.2000             
(2)Rs.2200                     
(3)Rs.2400                   
(4)Data inadequate   
(5)none of these

Answer: (1)

CP = (1920 + 1280)/2  = 1600
 SP = 1600 * 125/100 = 2000

9. A plane left 30 min later from the schedule time & in order to reach the destination 1500 km on time ,it had increase the speed by 250 kmph from the usual speed,its usual speed is
(1)700kmph               
(2)750kmph               
(3)250kmph
(4)350kmph                 
(5)500kmph

Answer: (2)

Let usual speed be x kmph
 1500/x - 1500/(x + 250) = 1/2
 By option
 x = 750 kmph

10. A certain distance is covered at a certain speed.if half of this distance is coveredin double the time,the ratio of the two speed is.
(1)4:1                               
(2)1:4                               
(3)1:8
(4)1:6                               
(5)8:1

Answer: (1)

Let Distance = D
         Time =  T
 S1 = D/T
 S2 = (D/2)/(2T)
 S1/52 = D/T/(D/2)(2T)
 S1 : S2 = 4 : 1

No comments