Quant Test for IBPS PO Prelims Exam set – 13

Directions(1-5): Find the wrong term of the following number series.

1. 16,20,29,45,75,106
   29
   75
   16
   20
   106
   Option B
   +2^2
   +3^2
   +4^2
   +5^2
   +6^2
   Instead of 75 place 70.
   
   
    



2. 10,12,23,70,281,1406
   10
   12
   23
   70
   281
   Option B
   *1+1
   *2+1
   *3+1
   *4+1
   *5+1
   Instead of 12 place 11.
   
   
    



3. 16,24,36,54,84,121.5
   16
   84
   24
   36
   121.5
   Option B
   16+16/2
   24+24/2
   36+36/2
   54+54/2
   81+81/2
   Instead of 84 place 81.
   
   
    



4. 32,41,59,86,122,157
   59
   32
   41
   86
   157
   Option E
   +9*1
   +9*2
   +9*3
   +9*4
   +9*5
   Instead of 157 place 167.
   
   
    



5. 17,28,39,52,61,72
   61
   72
   52
   17
   28
   Option C
   +11,+11,+11,+11,+11
   Instead of 52 place 50.
   
   
    



6. Sahil’s present age is one fourth of his father’s age two years ago. Sahil’s father’s age will be twice Sameer’s age after 10 years. If Sameer’s 12th birthday was celebrated 2 years ago, then what is Sahil’s present age ?
   19
   12
   15
   9
   17
   Option D
   Sameer = 12+2 = 14
   Sahil’s father = x+10 = 2(10+14)
   x = 48-10 = 38
   Sahil = 36/4 = 9 years
   
   
    



7. A Shopkeeper marked the price of an item 20% above cost price. He allowed two successive discounts of 20% and 25% to a customer. As a result he incurred a loss of Rs.812. At what price did he sell the item to the customer?
   2900
   2144
   1930
   2088
   1893
   Option D
   CP = 100
   MP = 120
   120*80/100 = 96; 96*75/100 = 72
   Loss = 100 – 72 = 28%
   CP = 100/28*812 = 2900
   SP = 2900*72/100 = 2088
   
   
    



8. A father left a will of Rs.35 lakhs between his two sons aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. SI. How much did the elder son get at the time of the will?
   Rs.25 Lakhs
   Rs.29 Lakhs
   Rs.21 Lakhs
   Rs.18 Lakhs
   Rs.24 Lakhs
   Option C
   Let x be the amount of elder son at the time of will & Younger son’s amount at the time of will (350000 -x)
   For elder son, T= 21-16=5
   For younger son, T=21-8.5= 12.5
   Amount Should be equal so,
   x + [(x*10*5)/100] = (3500000-x) + [((3500000-x)*10*12.5)/100]
   => 5x/3 = 3500000
   x = 2100000
   
   
    



9. Zishan and Rohit invested in a partnership business. Zishan invests Rs. 70,000 for 8months and Rohit invests Rs. 84,000 for 10 months. Out of a profit of Rs. 63140, Zishan’s share is:
   Rs. 20000
   Rs. 23749
   Rs. 20486
   Rs. 25256
   Rs. 29648
   Option D
   Ratio of their shares = (70000 * 8) : (84000 * 10) = 2 : 3
   Zishan’s share = Rs.63140 * 2/5 = Rs. 25256
   
   
    



10. Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are jacks?
    55/227
    57/223
    49/221
    53/220
    55/221
    Option E
    Case 1: both are black
    26C2/52C2
    Case 2: both are jack
    4C2/52C2
    Add both cases.
    But now 2 black jacks have been added in both cases, so subtracting their prob. : 2C2/52C2
    325/1326 + 6/1326 – 1/1326 = 55/221