Q1. Ratio of difference between area of a rectangle obtained in two cases, first when length of a rectangle is decreased by 4 cm and second when breadth of the original rectangle is increased by 4 cm to the area of rectangle is 4: 9. Find ratio of numerical value perimeter to area of rectangle.
(a) 2 : 7
(b) 2 : 5
(c) 2 : 11
(d) 2 : 9
(e) None of these
Q2. 24 men can complete a work in 20 days. 36 women can do the same work in 40 days. 54 children can do that work in 40 days. 18 women and 18 children together do that work for 32 days and ‘X’ number of men complete the remaining work in four days, then find (X + 14) women & (X -13) child can do the same work in how many days?
(a) 16 days
(b) 24 days
(c) 20 days
(d) 30 days
(e) 36 days
Q3. Shatabdhi express travelling at 168 kmph and overtook Rajdhani express, traveling in the same direction in 20 seconds. If Rajdhani express had been traveling at twice its speed, then Shatabdhi express would have taken 45 seconds to overtake it. Find the length of Shatabdi express, given that its length is twice of the length of Rajdhani express?
(a) 180 m
(b) 720 m
(c) 360 m
(d) 400 m
(e) 200 m
Q4. A solid sphere iron ball having radius of 12 cm melted and re- casted into a hollow cylindrical vessel of uniform thickness. If external radius of the base of cylindrical vessel is 10 cm and its height is 64 cm, then find the uniform thickness of the cylindrical vessel?
(a) 2 cm
(b) 1 cm
(c) 2.5 cm
(d) 2.25 cm
(e) None of these
Q5. Anurag and Yuvraj entered into partnership with Rs. 1400 and Rs. 1200 respectively. After three months, Anurag withdrew two-sevenths of his initial investment but after another three months Anurag puts back three-fifth of what he had withdrawn. The total profit at the end of the year is Rs. 14520. Find profit of Anurag?
(a) 7200 Rs.
(b) 7320 Rs.
(c) 14640 Rs.
(d) 7620 Rs.
(e) 7820 Rs.
Directions (6-10): Find the wrong number in the following given number series.
Q6. 124, 145, 258, 801, 3268, 16465, 99006.
(a) 145
(b) 258
(c) 801
(d) 16465
(e) 3268
Q7. 4755, 4674, 4553, 4384, 4158, 3870, 3509,
(a) 4755
(b) 3509
(c) 4553
(d) 4158
(e) 3870
Q8. 1463, 1620, 1729, 1801, 1843, 1863, 1869
(a) 1463
(b) 1801
(c) 1843
(d) 1863
(e) 1620
Q9. 5140, 10240, 10240, 5120, 1280, 160, 10
(a) 10240
(b) 1280
(c) 5120
(d) 5140
(e) 160
Q10. 8327, 6611, 5621, 5117, 4907, 4848, 4841
(a) 6611
(b) 5621
(c) 4848
(d) 4841
(e) 8327
Solutions