Maths Questions for Upcoming Railways ALP and TECHNICIAN Exams

Q1. There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.

(a) 51.5 kg

(b) 75 kg

(c) 37.5 kg

(d) 112.5 kg

(e) None of these

Q2. There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?

(a) Rs. 630

(b) Rs. 580

(c) Rs. 620

(d) Rs. 640

(e) None of these

Q3. 4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?

(a) 10 years

(b) 14 years

(c) 12 years

(d) 5 years

(e) 8 years

Q4. The simple interest accrued on a sum of certain principal is Rs. 2000 in five years at the rate of 4 p.c.p.a. What would be the compound interest accrued on same principal at the same rate in two years ?

(a) Rs. 716 

(b) Rs. 724 

(c) Rs. 804 

(d) Rs. 816

(e) None of these

Q5. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar?

(a) 14 litres

(b) 18 litres

(c) 20 litres

(d) 16 litres

(e) None of these

Solutions (1-5):

Directions (6-10): What will come in place of question mark (?) in the following number series?

Q6.  121,     144,     190,     259,     ?,     466

(a) 351

(b) 349

(c) 374

(d) 328

(e) None of these

Q7.   8,     64,     216,     512,     1000,     1728,     ?

(a) 4096

(b) 2744

(c) 3375

(d) 2197

(e) 4913

Q8.   3,     4,     10,     33,     136,     685,     ?

(a) 3430

(b) 4802

(c) 5145

(d) 4116

(e) 5488

Q9.  16,     12,     18,     40.5,     121.5,     455.625,     ?

(a) 2050.1125

(b) 2050.2125

(c) 2050.3125

(d) 2050.4125

(e) 2050.5125

Q10.   4,     18,     48,     100,     180,     294,     ?

(a) 448

(b) 424

(c) 436

(d) 460

(e) 412

Solutions (6-10):