1) 10 yrs ago, P was half of Q age. If the ratio of their present age 3:4. What will be total of their present age?

Solution:

past... P:q 1:2

10years after

the present age of p:q 3:4

1 : 2

3 : 4 ( difference of 1&3 and 2&4 is 2)

2 => 10

(3+4=7) 7 => x

X= (7×10) ÷2

= 35 yrs

P+q= 35 years

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Finding square ending with 5

For e.g. 35

The answer come in two parts:

LHS= the digit before 5 (i.e. 3 ) is multiplied by its next consecutive digit 4,

i.e. 3x4=12

RHS= as the number ends in 5, so

5 x 2=25

35 x 2= 1225.

Again lets say,

75 x 2= 7x8/5 x 2 = 5625

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Profit and Loss

• Cost Price (CP): The price at which any article is purchased
• Selling Price (SP): The price at which an article is sold

Profit or Gain:

• Profit is the difference between S.P. and C.P., if S.P. is greater than C.P
• Loss is the difference between C.P and S.P., if C.P. is greater than S.P

Profit percent (P %)

Profit percent is always computed over C.P. It is:

Loss Percent (L %)

Loss percent is always computed over C.P., it is:


Short-cut for Calculation:

Suppose the Cost Price of a book is 15. Let it be sold at 20% profit. What is the selling price?

Answer:

S.P. = C.P. + Profit:

S.P. = 15 + (20/100) × 15 = 15 (1 + 20/100) = 15 × (120/100)

A 20% profit (increase) on 15 yields the product 15 × (120/100).

Writing this product enables speed in calculation.

Simplifying this product is easier compared to finding the amount of profit separately first and next adding it to the cost price.

 

 

 

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ASSIGNMENT 1

Q1. Aman can finish a piece of work by himself in 42 days. Mohit, who is 1/5 times more efficient as Aman, requires X days to finish the work by working all by himself. What is the value of X?

(a) 39 days

(b) 40 days

(c) 35 days

(d) 42 days

(e) 37 days

 

Q2. Gourav fires two bullets from the same place at an interval of 15 minutes but Rohit sitting in a train approaching the place hears the second sound14 minutes  30 seconds after the first. What is the approximate speed of train (if sound travels at the speed of 330 meter per second)?

(a) 330/23 m/sec

(b) 330/29 m/sec

(c) 330/27 m/sec

(d) 330/31 m/sec

(e) None of the above

 

Q3. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?

(a) 18 men

(b) 20 men

(c) 48 men

(d) 28 men

(e) None of these

 

Q4. Equal amounts of each Rs. 43,892 is lend to two persons for 3 years. One at the rate of 30% S.I. and second at the rate of 30% C.I. annually. By how much percent the C.I. is greater than the simple interest received in this 3 years duration?

(a) 33%

(b) 35%

(c) 37%

(d) 30%

(e) 43%

 

Q5. A man has 7 relatives. 4 of them are ladies and 3 gentlemen; his wife also has 7 relatives. 3 of them are ladies and rest gentleman. In how many ways can they invite 3 ladies and 3 gentlemen for a dinner party so that there are 3 of the man’s relatives and 3 of the wife’s relatives?

(a) 450

(b) 498

(c) 499

(d) 485

(e) 489

 

Directions (6 -10). Two equations I and II are given below. You have to solve these equations and give answer 

(a) if x<y

(b) if x>y

(c) if x≤y

(d) if x≥y

(e) if x=y or no relation can be established

 

 

 

 

Directions (11 – 15): A chartered accountancy firm having 450 employees has sent all its employees for training in one or more areas among HRM, Computer skills and Financial skills. The employees are classified into two categories- officers and Executives – in the ratio of 4 : 5. 10% of the officers take training only in Computer skills. 16% of the Executives take training only in HRM, which is equal to the number of Officers taking training only in financial skills. 40% of the officers are taking training in HRM and Financial skills both. 6% of the total employees are taking training in all the three areas and of these, two-third are officers. 10% of total employees are taking training in HRM and Computer skills both. The number of Officers taking training only in HRM is 25% of the number of Executives taking training only in HRM. 20% of the total number of employees are taking training only in Computer skills. The number of Executives taking training in HRM and Financial skills both is 20% of the total number of executives. There is no such executives who takes training in both financial skills and computer skills but not in HRM. Among the employees who take training in both HRM and Computer skills but not in Financial skills, the ratio of officers to executives is 1:8. 

 

Q11. How many employees are taking training in Financial skills?

(a) 292

(b) 290

(c) 288

(d) 295

(e) 300

 

Q12. How many executives are taking training in HRM but not in computer skills?

(a) 47

(b) 80

(c) 81

(d) 79

(e) None of these

 

Q13. What percent of the total number of officers are taking training in Financial skills but not in HRM?

(a) 40%

(b) 45%

(c) 44%

(d) 36%

(e) 54%

 

Q14. How many executives are taking training in Financial skills?

(a) 120

(b) 124

(c) 126

(d) 125

(e) None of these

 

Q15. How many officers are taking training in Computer skills?

(a) 80

(b) 82

(c) 89

(d) 88

(e) 90

 

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 Multiplication Of Any Two-Digit Number (Let Say Ab) By 11:

 A) WHEN (A+B) IS BETWEEN 0 TO 9: A  (A+B)  B             

          EXAMPLES:  1)  11 X 42 =   4 ( 4+ 2) 2  =  462
                                2)  11 X 53 =   5 ( 5+3) 3   =  583
                                3)  11 X 12 =   1 (1+2) 2    =  132  
                                4)  11 X 23 =   2 (2+3) 3    =  253         

    B) WHEN (A+B) IS GREATER THAN 9: A  ( A+B)  B   
                                                                                ⇓
                                                                    CARRY OVER A
 

         Examples: 1) 11 X 57 = 5 (5+7) 7  ⇒ 5 (12) 7  ( Here carry 1 over 5) ⇒ (5+1) (2)  7  = 627
                          2) 11 X 93 = 9 ( 9+3) 3 ⇒ 9 (12) 3 ( Here carry 1 over 9) ⇒ (9+1) (2)  3 = 1023
                          3) 11 X 59 = 5 ( 5+9) 9 ⇒ 5 (14) 9 ( Here carry 1 over 5) ⇒ (5+1) (4) 9 = 649
                          4) 11 X 78 = 7 (7+8) 8  ⇒ 7 (15) 8 ( Here carry 1 over 7)⇒ (7+1) (5) 8 = 858

 

Problems: Find Out The Following Multiplications Mentally :

1) 11X27, 11X62, 11X71, 11X80, 11X33 , 11X45, 11X90, 11X10, 11X11, 11X42.

2) 11X58, 11X46, 11X79, 11X88, 11X65, 11X89, 11X77, 11X29, 11X56, 11X48.

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Tips to Crack SSC CHSL: - Don't only study but revise it at the same time, Instead when you prepare for a topic write it down in a note book and next day before starting new topic revise the topic you prepared yesterday. -Mark all the important points and remember it. -study according to syllabus. -for quantitative aptitude and general intelligence practice it daily with shortcuts and for English and general awareness read and write it down in note book daily points wise and revise it daily solve previous papers on regular basis take mock tests daily and try to solve questions within the time. Read news papers, watch news regularly and stay updated with time. read less