PROBLEMS BASED ON AGES–03

Question: The sum of the ages of a mother and her daughter is 50 years. Also, 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter? [एक माता और उसकी पुत्री की उम्रों का योगफल 50 वर्ष है. 5 वर्ष पहले माता की आयु पुत्री की आयु की 7 गुणी थी. बताएं कि आज माता और पुत्री की आयु क्या है?]  [Ans. (c) 40 yrs, 10 yrs]                                     

(a) 45 yrs, 5 yrs   (b) 42 yrs, 8 yrs  (c) 40 yrs, 10 yrs (d) 41 yrs, 9 yrs (e) none of these          

Solution:

Detailed Explanation:

Concept: When the sum of the ages of two persons goes to 5 years ago, it is reduced by 10 years (as the age of each of the persons is reduced by 5 years)

First Method: Given that the sum of the ages of a mother and her daughter is 50 years (at present), so the sum of their ages 5 years ago was 50-10 = 40 years.

Also given that the ratio of the ages of the mother and her daughter 5 years ago was 7:1, so that the sum is 8 (in terms of ratio). 

8 ≡ 40 years

1 ≡? = 5 years (the age of daughter 5 years ago)

7 ≡? = 35 years (the age of mother 5 years ago)

Therefore, the present age of mother is 35+5 = 40 years and the present age of daughter is 5+5 = 10 years. Ans.

Second Method: Let the ages of daughter and mother 5 years ago were “x” years and “7x” years.  So, their present ages are respectively (x+5) years and (7x+5) years.

Given that the sum of the present ages of mother and her daughter is 50 years, so

(7x+5) + (x + 5) = 50 or, 8x = 40 or, x = 5

Therefore, the present age of mother = 7×5+5 = 40 yrs and the present age of daughter = 5+5 = 10 yrs Ans.   

BOAT AND STREAMS –01

Question: A man can row at a speed of 5 km/hr in still water to a certain upstream point and back to the starting point in a river which flows at 2 km/hr. Find his average speed for total journey. [एक व्यक्ति, जो शांत जल में 5 किमी/घंटे की चाल से चल सकता है; धारा के विरुद्ध एक निश्चित दूरी तक जाता है और प्रारंभ बिंदु तक वापस पहुँचता है. यदि धारा की चाल 2 किमी/घंटे हो, तो व्यक्ति की औसत चाल बताएं]. [Ans. (b) 4.2 km/hr]                                        

(a) 9 km/hr  (b) 4.2 km/hr (c) 8 km/hr  (d) 6 km/hr  (e) None of these

Solution:

Detailed Explanation: Given that the speed of the man in still water is 5 km/h and the speed of the current is 2 km/h. So, the speed of the man along the current, X = 5+2 = 7 km/h; and the speed of the man against the current, Y = 5-2 = 3 km/h.

Average speed of the man = (2XY)/(X+Y) km/h

= (2×7×3)/7+3 km/h = 42/10 km/h = 4.2 km/h. Ans.

Series-02

1.             4       2.25        3.25        7.125          18.25        51.875                  

7         (a)           (b)           (c)              (d)             (e)

What will come in place of (b)?   [Ans:-(4)]

(1) 4.125     (2) 5.25     (3) 6.75   (4) 4.75    (5) None of these

                                                                                          

2.             3         40      176        537          1078            1079    

 1         (a)      (b)          (c)            (d)                (e)      

What will come in place of (e)?   [Ans:-(1)]

(1) 839     (2) 738    (3) 829      (4) 938        (5) None of these

                                                                             

3.               3            5            22         13.5            35             19      

  5           (a)          (b)           (c)            (d)             (e)

What will come in place of (c)?    [Ans:-(3)]

(1) 16      (2) 15.5     (3) 14.5    (4) 13       (5) None of these

                                                                                      

4.               9           10           16        57           212         1085

                  2           (a)           (b)        (c)         (d)            (e)

What will come in place of (c)?   [Ans:-(2)]

(1) 37         (2) 15       (3) 18          (4) 25    (5) None of these

                                                                 

5.       7            20            46              98         202              410

          4           (a)            (b)              (c)         (d)              (e)

What will come in place of (d)?    [Ans:-(5)]

(1) 166       (2) 184     (3) 146     (4) 162     (5) None of these

Solution:

Concept: More than 90% questions can be classified on the basis of “slop”. Maximum Slop, Average Slop and Minimum Slop – these are the mainly three types or slop. There is one more type of slop - mean slop.

(1) In the Minimum Slop, the terms are obtained by adding some numbers. In this type of slop, terms are not become multiple.

(2) In other two types of slops, terms become multiple. In the Average Slop, terms become multiple equally, i. e., slops are as: ×2×2×2×2×2…. Or ×1.5×1.5×1.5×1.5×1.5…. or ×3×3×3×3×3×3×……., and some thing added or subtracted also.

 

(3) In the Maximum Slop, terms become multiple, but not equally. It is either increasing or decreasing  i. e., slops are as: ×1×2×3×4×5…. Or ×1.5×3×4.5×6×7.5…. or ×2×4×6×8×10×……., and some thing added or subtracted also.

(4) In the Mean Slop, terms become multiple, but not equally, but not so much sharp. It is either increasing or decreasing i. e., slops are as: ×0.5×1×1.5×2.5×3…. etc. and some thing added or subtracted also.

Detailed Explanation: Now we will solve the given series in detail as:

1) Here the case is of “Mean slop” (type 4). Slop is ×0.5×1×1.5×2.5×3…. and 0.5, 1, 1.5, 2, 2.5… are added respectively. The rule is: ×0.5+0.5   ×1+1     ×1.5+1.5   ×2+2      ×2.5+2.5

2) This is a case of “Decreasing Maximum Slop”. The slop is as ×5×4×3×2×1…. Also,  5²,  4², 3², 2², 1² are added respectively. Final rule is: ×5+5²   ×4+4²    ×3+3²    ×2+2²    ×1+1²   

3) This is typical type of series. It can be explained in two ways.

First Rule: 7 is added to the term and then divided by 2; 6 is added to the next term and multiplied by 2; 5 is added to the next term and divided by 2; 4 is added to the next term and multiplied by 2 and so on.      (3+7)÷2  (5+6)×2   (22+5)÷2   (13.5+4)×2   (35+3)÷2

Second Rule is as: ÷2+3.5   ×2+12     ÷2+2.5      ×2+8           ÷2+1.5        The given series can be solved as:  

       ÷2+3.5   ×2+12     ÷2+2.5      ×2+8           ÷2+1.5                                                                                                                            

      3            5              22             13.5               35            19

      5           (a)            (b)             (c)?                (d)          (e)

                                         Ans. is (c) = 14.5   

4) This is a case of “Increasing Maximum Slop”. The slop is as ×1×2×3×4×5…. Also,  1²,  -2², 3², -4², 5² are added respectively. Final rule is: ×1+1²   ×2-2²   ×3+3²   ×4-4²    ×5+5²                                                                                                                                                                                                                                                                  

5)  Here the case is of “Average slop”. Slop is ×2×2×2×2×2…. and 6 is added to each of the term. The rule is: ×2+6, ×2+6, ×2+6, ×2+6, ×2+6.......                                                                 

HCF AND LCM-01

Question: Four bells commence tolling together, they tall at intervals of 1, 1 ¼, 1½ and 1¾ seconds respectively, after what interval will they tall together again? [चार घंटियाँ क्रमशः1, 1 ¼, 1½ तथा 1¾ सेकेण्ड के अन्तराल पर बजती हैं. वे चारो एक साथ कब बजेंगी?]  [Ans. (d) 1 minutes 45 sec]

(a) 2 min. 40 sec (b )1 min. 40 sec (c) 2 min. 45 sec (d) 1 min 45 sec (e) none of these

Solution:

Detailed Explanation: The least number, which is divisible by each of the given numbers 1, 1 ¼, 1½ and 1¾; that is, their LCM. This LCM is the length of interval, when all the bells tall together.

LCM of 1, 1 ¼, 1½ and 1¾ = LCM of (1/1), (5/4), (3/2) and (7/4)

 = (LCM of 1, 5, 3, 7)/HCF of (1, 4, 2, 4)

= (105/1) = 105 sec = 1 min 45 sec. Ans.

Time and Distance [समय और दूरी]-02

Question: Without any stoppage a person travels a certain distance at an average speed of 40 km per hour, and with stoppages he covers the same distance at an average speed of 30 km/hr. how many minutes per hour does he stop? [बिना रुके कोई व्यक्ति 40 किमी/घंटे की औसत चाल से एक निश्चित दूरी तय करता है; लेकिन जब रुक रुक कर (ठहराव) के साथ चलता है, तो उसी दूरी को तय करने में उसकी औसत चाल अब 30 किमी/घंटे की हो जाती है. बताएं कि उस व्यक्ति का ठहराव प्रति घंटे कितने मिनट का है?]  [Ans. (c) 15 minutes]

(a) 7 minutes  (b) 7.5 minutes  (c) 15 minutes  (d) 20 minutes  (e) None of these.

Solution:

Detailed Explanation:

First Method: Given that the average speed of the man without stoppages is 40 km/h. That is, the man covers 40 km in one hour. Since the average speed of the man becomes 30 km/h with stoppages, so the man describes 30 km, and rests for the time taken to cover the remaining 10 km. But, remaining 10 should be covered in ¼ of an hour, i. e., 15 minutes; as he covers 40 km in hour. Therefore, stoppages per hour are 15 minutes. Ans.  

Second Method: Since the average speed of the man without stoppages is 40 km/h. It is reduced to 30 km/h due to stoppages; that means, the man goes 30 km and then stop his journey till the hour is completed. But, the time taken to cover 30 km is (30/40) hour or 45 minutes. So, the rest is (60-45) minutes = 15 minutes. Therefore, stoppages per hour are 15 minutes. Ans.

Third Method: In both the journey (without stoppages and with stoppages), the distance covered are the same. So, the time taken will be in the inverse proportion of speeds.

                                                                 Without Stoppage   with Stoppages                                                                     

                                                            S₁: S2 =     40 km/h   :  30 km/h Difference

                                                            T₁: T2 =      3             :        4      :      1

                                                                                                          4 ≡ 1 hour                     

                                                                                                          1 ≡ ¼ hr = 15 min                          

                                                                                                          = 15 min/hr.  Ans.                  

H. C. .F & L. C. M.-1st part

1. (i)   Find the H.C.F. of  42 and 70.  [Ans. (d) 14] 

(a)  7    (b) 1      (c) 28       (d) 14           (e) none of these  

(ii)  Find the H.C.F. of 1365, 1560 & 1755. [Ans. (a) 195] 

(a)  195      (b) 13   (c) 15     (d) 390    (e) none of these  

(iii)  Find the H.C.F. of 144 & 192.   [Ans. (b) 48] 

(a)  16    (b) 48      (c) 96   (d) 24    (e) none of these  

(iv)  Find the H.C.F. of 1260 & 2376.    [Ans. (a) 36] 

(a)  36      (b) 48    (c) 96      (d) 24       (e) none of these  

(v)  Find the H.C.F. of 876, 492, 1824 & 1960.   [Ans. (e) (4)] 

(a)  16    (b) 24   (c) 96   (d)  76     (e) none of these  

(vi) Find the H.C.F. of 1794, 2346 & 4761.   [Ans. (e) (69)]

(a)  3     (b) 138      (c) 96    (d) 23        (e) none of these  

(vii)  Find the H.C.F. of 144, 180 & 192             [Ans. (a) 12] 

(a)  12    (b) 4       (c) 36      (d) 24     (e) none of these  

2. (i) Find the H.C.F. of 16.5 , 0.45 & 15        [Ans. (d) 0.15] 

(a)  1.5     (b) 0.5     (c) 0.015      (d) 0.15    (e) none of these  

(ii) Find the H.C.F. of 1.7, 0.51 & 0.153      [Ans. (c) 0.017] 

(a)  1.7     (b) 0.17   (c) 0.017     (d) 14    (e) none of these  

(iii) Find the H.C.F. of 1.84, 2.3 & 2.76         [Ans. (a) 0.46] 

(a)  0.46      (b) 0.23      (c) 4.6     (d) 2.3   (e) none of these  

(iv) Find the H.C.F. of 4.8, 5.4 & 0.06 [Ans. (e) none (0.06)] 

(a)  0.6    (b) 6.0      (c) 0.9     (d) 0.006    (e) none of these  

3. (i)  Find the H.C.F. of 54/9, (3 and 9/17) and 36/51. [Ans. (d) 6/17] 

(a)  9/17    (b) 6/19     (c) 7/71     (d) 6/17  (e) none of these  

(ii)  Find the H.C.F. of 3/4, 5/6 and 6/7.  [Ans. (c) 1/84] 

(a) 3/84    (b) 1/81      (c) 1/84      (d) 6/48    (e) none of these  

(iii)  Find the H.C.F. of 6, 3&3/4 and 18/20.  [Ans. (b) 3/20] 

(a) 7/20      (b) 3/20     (c) 3/25    (d) 7/20     (e) none of these  

(iv)  Find the H.C.F. of 6/8 , 2&1/2 and  15/16  [Ans. (d) 1/16] 

(a) 6/16     (b) 3/18       (c) 6/61      (d) 1/16   (e) none of these   

4. (i)  What is the greatest number that will exactly divide 96, 528 and 792 ?   [Ans. (d) 24] 

(a)  12      (b) 48       (c)  36     (d)  24     (e) none of these  

(ii) What is the greatest number that will be exactly divide 312, 351 & 650?  [(Ans. (b)  13]

(a)  39        (b) 13       (c) 26     (d) 52       (e) none of these  

5. (i) Find the greatest weight which can be contained exactly in 1 Kg. 235 gm. & 3 Kg.430 gm.[Ans. (e) none of these (5)]

(a)  10          (b) 45         (c) 1      (d) 25    (e) none of these  

(ii) What is the greatest length which can be used to measure exactly 3 m 60 cm; 6 m; 8 m 40 cm and 18 m.

(a)  1m 30 cm  (b)  125 cm   (c)  1 m 10  (d)  105 cm   (e) none

(iii) What is the largest sum of money which is contained in Rs. 6.25 and Rs, 7.50 exactly?   [Ans. (a) 125 P]                                                                                    

(a)  125P    (b) 120P   (c) 175P    (d)  75P   (e) none of these  

(iv) Two bills, one of Rs. 27.50 and the other of Rs. 13 are to be paid in coins of the same kind. Find the largest coin that can be used.  [Ans. (a) 50paise]

(a) 50 paisa  (b) Re. 1    (c)  Rs. 1.50  (d)  25 paise    (e) none

        

6. (i) What is the greatest no. that will divide 38, 45 and 52 and leave as remainders 2, 3 and 4 respectively.  [Ans. (d) 6] 

(a)  3     (b) 2       (c) 12    (d)  6        (e) none of these  

(ii) Find the greatest number that will divide 728 and  900 leaving the remainders 8  and  4  respectively.  [Ans. (a) 16]

(a) 16      (b) 15        (c) 14     (d) 24        (e) none of these  

7.  (i) Find the greatest number which will divide 410, 751 and 1030 so as to leave remainder 7 in each case.  [Ans. (b) 31]  

(a) 63    (b) 31      (c) 13   (d) 36            (e) none of these  

(ii) Find the greatest number which will divide 772 and 2778 so as to leave the remainder 5 in each case.  [Ans. (a) 59]

(a) 59     (b) 69      (c) 49     (d) 95            (e) none of these  

8. (i) Find the greatest number which is such that when 76, 151  and 226 are divided by it, the remainders are all alike. Find also the common remainder.     [Ans. (c) 75, 1]       

(a) 57, 2    (b) 75, 2     (c) 75, 1     (d) 57, 1    (e) none of these  

(ii)  Find a number of three digits which gives the same remainder, when it divides 2272 and 875.     [Ans.(b)127]

(a) 172   (b) 127     (c) 125   (d) 137       (e) none of these  

9. (i) Find the L.C.M. of  18, 24, 60 and 150   [Ans. (c) 1800] 

(a) 1500  (b) 1600    (c) 1800     (d)  1450      (e) none of these  

(ii) Find the L.C.M. of 40, 36 and 126       [Ans. (d) 2520] 

(a)  2560   (b) 2440   (c) 2500   (d) 2520     (e) none of these  

(iii)  Find the L.C.M. of 84, 90 and 120.    [Ans. (d) 2520] 

(a)  2560  (b) 2440    (c)  2500    (d)  2520     (e) none of these  

(iv) Find the L.C.M. of 75, 250, 225 and 525 [Ans. (a) 15750] 

(a) 15750  (b)  15550 (c)  14750  (d)  16770  (e) none of these  

10. (i)   Find the L.C.M. of  0.6, 9.6 and 0.36[Ans. (d) 28.80] 

(a)  7     (b) 28   (c) 28.20   (d)  28.80     (e) none of these  

(ii)   Find the L.C.M. of 3, 1.2 and 0.06          [Ans. (b) 6.00] 

(a)  60.0    (b) 6.00     (c) 6.40   (d)  16.0      (e) none of these  

(iii)  Find the L.C.M. of 0.18, 2.4 and 60         [Ans. (c) 180] 

(a)  220    (b) 18.0      (c) 180   (d) 140 (e) none of these  

(iv) Find the L.C.M. of 1.5, 0.25 and 0.075    [Ans. (d) 1.5] 

(a)  2.5     (b) 15      (c) 28    (d) 1.5    (e) none of these  

11. (i)   Find the L.C.M. of  4 ½ , 3 and 10 ½    [Ans. (d) 63] 

(a)  93    (b) 33       (c) 236     (d) 63       (e) none of these  

(ii)  Find the L.C.M. of 8, 16/20 and 1&3/7      [Ans. (b) 40] 

(a)  20      (b) 40      (c)  10       (d)  45         (e) none of these  

(iii) Find the L.C.M. of 6/8, 2 ½  and 15/16     [Ans. (c) 7 ½] 

(a)  5 ½     (b) 9 ½     (c) 7 ½    (d)  7            (e) none of these  

12. (i) Find the least number which is exactly divisible  by  8, 12, 15 and 21.  [Ans. (b) 840]

(a)  460       (b) 840      (c) 860     (d)  846    (e) none of these  

(ii) Find the least number which is exactly divisible  by 72, 90 and 120.  [Ans. (c) 360]

(a)  260    (b) 630     (c) 360       (d) 620     (e) none of these  

          

(iii) Find the least number which is exactly divisible by 15, 55 and 99.  [Ans. (c) 495]

(a) 485     (b) 435   (c) 495       (d)  395   (e) none of these  

  

(iv) Find the least number which is exactly divisible by 35, 48 and 56. [Ans. (a) 1680]
(a)  1680     (b) 1860     (c) 1380   (d) 1830    (e) none of these  

13. (i) Find the least number which, when divided by each of the fractions 4/5, 3/10 and 12/35 gives a whole number as quotient in each case.  [Ans. (a) 2&2/5]

(a)  2&2/5 (b) 3&3/5  (c) 2&3/5 (d)  3&2/5   (e) none of these  

(ii) Four bells commence tolling together, they tall at intervals of 1, 1 ¼, 1½  and 1¾ seconds  respectively, after what interval will they tall together again?  [Ans. (d) 1 minutes 45 sec]

(a) 2 min. 40 sec (b )1 min. 40 sec (c) 2 min. 45 sec (d) 1 min 45 sec (e) none of these

Time and work [समय और काम]-02

Question: I can finish a work in 15 days at 8 hrs a day. You can finish it in (6 and 2/3) days at 9 hrs a day. Find in how many days we can finish it working together 10 hrs a day. [मैं 8 घंटे प्रति दिन काम करते हुए किसी काम को 15 दिनों में कर सकता हूँ. आप 9 घंटे प्रति दिन काम करते हुए उसे (6 तथा 2/3) दिनों में कर सकते हैं. 10 घंटे प्रति दिन काम करते हुए हम दोनों उस काम को कटने दिनों में पूरा कर लेंगे?] [Ans. (b) 4 days]

(a) 8 days   (b) 4 days   (c) 6 days   (d) 9 days   (e) None of these

Solution:

Detailed Explanation: At the rate of 8 hours per day, 15 days contains 15×8 = 120.

Similarly, at the rate of 9 hours per day, (6 and 2/3) days = 20/3 days contains 9×20/3 hours = 60 hours.

First Method: If A can do a work in “x” hours and B can do the same work in “y” hours, then A and B together can do the same work in xy/(x + y) hours

Here, I and You means “we” can do the whole work in: 120×60/(120 + 60) = 40 hours. But, work is to be done at the rate of 10 hours/day, so time taken is 40 hours/10 h/d = 4 days. Ans.

Second Method: I can do 1/120^th of the work in one hour; where as you can do 1/60^th of the work in one hour. Both together (I + You) can do (1/120) + (1/60) = 1/40^th work in one hour. Therefore, we can do the whole work in 40 hours. But, work is to be done at the rate of 10 hours/day, so time taken is 40 hours/10 h/d = 4 days. Ans.

Series - 01

1.    114        115         107         134        70        ?     [Ans:-(3)]

(1) 140   (2)35         (3)195       (4)150        (5) None of these      

                                                                                                                  

2.    2         6        33         49         174         210        ?     [Ans:-(1)]

(1) 553      (2) 259       (3) 426    (4) 274      (5) None of these    

                                                                                          

3.    64       128      92        220        148        404       ?     [Ans:-(4)]                      

(1) 332      (2) 296      (3) 276        (4) 260     (5) None of these          

4.     2          21          138           705          ?       [Ans:-(5)]            

(1) 2386    (2) 3540    (3) 2820       (4) 3236   (5) None of these                                                                                                          

5.     9        ?       20        31        51       82       133    [Ans:-(5)]            

(1) 13     (2) 18      (3) 12     (4) 15      (5) None of thee 

Solution:

              +1³        -2³           +3³          -4³       +5³                                      

1)    114         115         107         134         70        ?     [? = 195 Ans.]

         +2²      +3³       +4²        +5³         +6²          +7³                                      

2)    2         6         33          49         174         210        ?     [? = 553 Ans.]

           +64         -36        +128       -72         +256      -144                                        

3)    64         128          92          220        148        404       ?     [? = 260 Ans.]

          ×7 + 7×1      ×6 + 6×2        ×5 + 5×3        ×4 + 4×4                                                      

4)     2                 21                 138                 705                ?       [? = 2836 Ans.]  

                         (9+?=20)     (?+20=31)     (20+31=51)  (31+51=81)     (51+82=133)       

5)     9               ?                 20                  31                  51                   82                   133    

[? = 11 Ans.]   

Detailed Explanation:

1) This is an ups and downs series. Changes are respectively +1, -8, +27, -+64, -125, and so on. That is, + 1³, - 2³, +3³, -4³, +5³ and so on. So, no. at the question mark will be 70 + 125 = 195 Ans.

2) The changes are respectively +4, +27, +16, +125, +36, +343 and so on. That is, +2², +3³, +4², +5³, +6², +7³ and so on. So, no. at the question mark will be 210 + 343 = 553 Ans.  

3) Here, the changes are respectively +64, -36, +128, -72, +256, -144 and so on. Relation exist between the changes at the odd places as +64, +128, +256,….. and at the even places as -36, -72, -144,…… So, no. at the question mark will be 404 - 144 = 260 Ans.  

4) In this series, the slop is as ×7, ×6, ×5, ×4, ×3, ×2, ×1. Also, 7, 12, 15, 16,….. are added that can be written as 7×1, 6×2, 5×3, 4×4, 3×5, 2×6, 1×7. Here, the numbers of the products are complimentary with respect to 8, that means, the sum is 8.

7+1=8, 6+2=8, 5+3=8, 4+4=8, 3+5=8, 2+6=8, 1+7=8. So, no. at the question mark will be 705 ×4 + 4 ×4 = 2836 Ans.

5) In this series, any number in the series is just the sum of its previous two numbers. As for example, (9+?=20), (?+20=31), (20+31=51), (31+51=81), (51+82=133). So, no. at the question mark 11 Ans.

SERIES - 1st part

TYPE –I

What will come in place of the question mark in the following number series? 

1.    114        115         107         134        70        ?     [Ans:-(3)]

(1) 140   (2)35         (3)195       (4)150        (5)None of these      

                                                                                                                  

2.    2         6        33         49         174         210        ?     [Ans:-(1)]

(1) 553      (2) 259       (3) 426    (4) 274      (5) None of these    

                                                                                          

3.    64       128      92        220        148        404       ?     [Ans:-(4)]                      

(1) 332      (2) 296      (3) 276        (4) 260     (5) None of these          

4.     2          21          138           705          ?       [Ans:-(5)]            

(1) 2386    (2) 3540    (3) 2820       (4) 3236   (5) None of these                                                               

5.     9        ?       20        31        51       82       133    [Ans:-(5)]            

(1) 13     (2) 18      (3) 12     (4) 15      (5) None of thee      

                                                                                       

6.     2         9        30       105       ?        2195    [Ans:-(4)]

(1) 432     (2)  426     (3)  440    (4)  436     (5)  None of these      

                                          

7.     3         4        12        45      ?     1005   [Ans:-(5)]

(1) 152      (2) 198      (3) 144      (4) 192      (5) None of these       

                                         

8.     1         3        9          31       ?      651    [Ans:-(3)]

(1) 97      (2) 127    (3) 129  (4) 109         (5) None of these      

                              

9.     5         ?        4         7.5        17        45   [Ans:-(2)]

(1) 3.5        (2) 3      (3) 2.5   (4) 2       (5) None of these      

                             

10.   15        30        ?        40        8         48    [Ans:-(1)]

(1) 10     (2) 20    (3) 18     (4) 12         (5) None of these       

TYPE -II

Q:  In each of the following question a number series is given. After the series a number is given followed by (a), (b), (c), (d) and (e). You have to complete the series starting with the number given, following the sequence of the given series, and the answer the question given below the series.

1.             4       2.25        3.25        7.125          18.25        51.875                  

7         (a)           (b)           (c)              (d)             (e)

What will come in place of (b) ?   [Ans:-(4)]

(1) 4.125     (2) 5.25     (3) 6.75   (4) 4.75    (5) None of these

                                                                                          

2.             3         40      176        537          1078            1079    

 1         (a)      (b)          (c)            (d)                (e)      

What will come in place of (e) ?   [Ans:-(1)]

(1) 839     (2) 738    (3) 829      (4) 938        (5) None of these

                                                                             

3.               3            5            22         13.5            35             19      

  5           (a)          (b)           (c)            (d)             (e)

What will come in place of (c) ?    [Ans:-(3)]

(1) 16      (2) 15.5     (3) 14.5    (4) 13       (5) None of these

                                                                                      

4.               9           10           16        57           212         1085

                  2           (a)           (b)        (c)         (d)            (e)

What will come in place of (c) ?   [Ans:-(2)]

(1) 37         (2) 15       (3) 18          (4) 25    (5) None of these

                                                                  

5.       7            20            46              98         202              410

          4           (a)            (b)              (c)         (d)              (e)

What will come in place of (d) ?    [Ans:-(5)]

(1) 166       (2) 184     (3) 146     (4) 162     (5) None of these

                                                                                       

6.      3             12            30               66                  138             282

         7              (a)            (b)             (c)                   (d)              (e)

What  will come in place of (b)?    [Ans:-(3)]            

(1) 34        (2) 70       (3) 46       (4) 62        (5) None of these

                                                                                  

7.             2           3          10           39            172           885

5           (a)        (b)           (c)            (d)            (e)

What will come in the place (d)?   [Ans:-(1)]

(1) 244     (2) 175      (3) 208   (4) 196      (5) None of these

8.             3           5             22           13.5            35              19

                1          (a)            (b)            (c)             (d)             (e)

What will come in the place of (a)?   [Ans:-(4)]

(1) 3      (2) 2     (3) 5       (4) 4          (5) None of these

                                                                        

9.             2           3           7             25             121             721

                3          (a)         (b)           (c)             (d)               (e)

What will come in the place of (c)?   [Ans:-(2)]

(1) 31         (2) 49    (3) 45    (4) 39        (5) None of these

                                                                          

10.     4       2            3           7.5            26.25            118.125

          6      (a)          (b)         (c)               (d)                (e)

What will come in the place of (c)?     [Ans:-(5)]          

(1) 12.25  (2) 11.5      (3) 12.5 (4) 11.125  (5) None of these

              

11.             5            6          16           57           244           1245

                   2           (a)         (b)          (c)           (d)              (e)

What will come in the place of (d)?    [Ans:-(5) 172]

(1) 46    (2) 39       (3) 156        (4) 173       (5) None of these       

                                        

12.          3           5              9            17            33              65

                 7          (a)         (b)           (c)            (d)                (e)

What will come in the place of (d)?     [Ans:-(5) 97]

(1) 65        (2) 51       (3) 99      (4) 49      (5) None of these        

                                            

13.          7           4           5          9           20            52.5

                 3          (a)         (b)           (c)            (d)                (e)

What will come in the place of (c)?   [Ans:-(3)]

(1) 4.5     (2) 2         (3) 6       (4) 7           (5) None of these        

14.          3          10            32            111           460           2315

                 2          (a)           (b)             (c)            (d)              (e)

What will come in the place of (b)?    [Ans:-(2)]

(1) 29     (2) 30       (3) 26      (4) 28         (5) None of these       

                                               

15.          5           8           6              10           7            12

                 7          (a)         (b)           (c)          (d)            (e)

What will come in the place of (c)?    [Ans:-(1)]

(1) 12     (2) 16     (3) 9      (4) 11      (5) None of these

                                          

16     2       3        2           15      44             245        1434

         3      (a)       (b)         (c)     (d)             (e)           (f)

What  will  come  in place  of (c)?   [Ans:-(4)]

(1) 16     (2) 22     (3) 24        (4) 21       (5) None of these       

                                                                 

17.      1      2       8       33          148       765        4626

           2    (a)     (b)     (c)          (d)         (e)           (f)

What  will  come  in place  of (d)?    [Ans:-(5)]

(1) 156     (2) 164     (3) 168   (4) 152     (5) None of these        

                                                                     

18.   2     4.5    11       30     93     325.5      1306

        4     (a)    (b)       (c)     (d)     (e)          (f)

What  will  come  in place  of (b)?     [Ans:-(5)17]

(1) 6     (2) 18      (3) 16.75  (4) 18.75        (5) None of these          

                                                                  

19.   2      14       18       46       82      174     338

        4       (a)       (b)     (c)      (d)     (e)       (f)

What  will  come  in place  of (e)?      [Ans:-(1)]

(1) 238    (2) 264     (3) 368     (4) 152         (5) None of these        

                                                      

20.     1          3         5          11           21             43           85

          4         (a)      (b)         (c)          (d)             (e)          (f)

What  will  come  in place  of (d)?   [Ans:-(3) 69]

(1) 56       (2)  64        (3) 69         (4) 152      (5) None of these        

               

21.          13           14          5          18           0.5        

                19           (a)         (b)        (c)           (d)           (e)

What will come in the place of (e)?   [Ans:-(3)]

(1) 13.75     (2) 27     (3) 18.75     (4) 6.75      (5) None of these    

                                                      

22.          17           21.5         30.5          44         62        

                21           (a)             (b)           (c)        (d)           (e)

What will come in the place of (e)?   [Ans:-(2) 88.5]

(1) 84.5      (2) 88.5     (3) 86     (4) 88        (5) None of these  

                                                                

23.          1            8              10            35         136        

                2           (a)             (b)           (c)          (d)           (e)

What will come in the place of (e)?   [Ans:-(5) 803]

(1) 805      (2) 402  (3) 510     (4) 499       (5) None of these  

                                                          

24.   12         26         11         36          9      

         7          (a)         (b)        (c)        (d)           (e)

What will come in the place of (e)?   [Ans:-(2) 20]

(1) 7        (2) 20        (3) 4          (4) 11        (5) None of these   

25.    2           3          6            15          45      

         7          (a)         (b)         (c)         (d)           (e)

What will come in the place of (e)?    [Ans:-(5)None of these(551.25)]

(1) 360    (2) 120      (3) 300      (4) 240     (5) None of these  

                                                                   

26.   12           24          96          576           4608        

        9             (a)         (b)           (c)            (d)           (e)

What will come in the place of (d)?   [Ans:-(4)]

(1) 1080   (2) 676     (3) 3608    (4) 3456  (5) None of these    

                                     

27.   150        299          601          1197           2401          4793        

        60          (a)            (b)             (c)              (d)             (e)

What will come in the place of (e)?     [Ans:-(2)]

(1) 1917.2     (2) 1913     (3) 1922     (4) 861  (5) None of these    

                                      

28.   3           9          81          6561                   

       2         (a)         (b)           (c)            (d)           (e)

What will come in the place of (d)?    [Ans:-(4)]

(1) 656      (2) 4374  (3) 1024    (4) 65536     (5) None of these    

29.   3           7         24          101           512        

       5          (a)        (b)          (c)            (d)           (e)

What will come in the place of (c)?   [Ans:-(2)]

(1) 55        (2) 149    (3) 168     (4) 752     (5) None of these    

                                                       

30.   2           6         40          1606           2579244        

       1         (a)        (b)           (c)                  (d)             (e)

What will come in the place of (d)?   [Ans:-(4)]

(1) 45      (2) 95      (3) 30489      (4) 30633   (5) None of these