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Subject Mathematics
1401. A ferry, when empty, travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading, and returns to its original port empty in a total of 8 hours, what is the speed of the ferry when it isempty?
(a) 8 mph
(b) 10 mph
(c) 12 mph
(d) 15 mph
(e) None of these
Ans. a
1402. A bicycle has two wheels (one large and one small) of 120 cm and 40 cm in diameters. When the large wheel makes 10 revolutions, how many revolutions does the small wheel make in that time?
(a) 15
(b) 20
(c) 30
(d) 40
(e) None of these
Ans. c
1403. In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage on the total students went to the picnic?
(a) 18%
(b) 24%
(c) 29%
(d) 30%
(e) None of these
Ans. c
1404. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. What is the ratio of A and B?
(a) 1 : 1
(b) 2 : 3
(c) 2 : 5
(d) 4: 3
(e) None of these
Ans. d
1405. Baki lives 2 miles west of Raju’s house. Rafiq lives 3 miles north of Raju’s house and 2 miles west of Diba’s house. What is the straight-line distance from Baki’s house to Diba’s house?
(a) 5 miles
(b) 6 miles
(c) 7 miles
(d) 10 miles
(e) None of these
Ans. a
1406. On Tuesday, 30 of the students in a class took a test and their average score was 83.5. On Thursday, the other 5 students took the test, and their average score was 94. What was the average for the entire class?
(a) 83.5%
(b) 84.5%
(c) 85%
(d) 88.2%
(e) None of these
Ans. c
1407. If the average of 7, 13 p and q is 17, what is the average of (p + 11) and (q - 9)?
(a) 50
(b) 25
(c) 21
(d) 14
(e) None of these
Ans. b
1408. A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?
(a) 50
(b) 80
(c) 100
(d) 125
(e) None of these
Ans. d
1409. At a particular moment, if the angle between the hour hand and the minute hand of a clock is 105°, what was the time by the clock at that time?
(a) 6:20
(b) 6:40
(c) 3:15
(d) 3:30
(e) None of these
Ans. e
1410. At present, father’s age is 4 times more than of his son. 6 years ago father’s age was 10 times more than that of his son. What is their present age?
(a) 56 and 14 years
(b) 36 and 9 years
(c) 32 and 8 years
(d) 40 and 10 years
Ans. b
1411. If the price of an item is increased by 10% and then decreased by 10%, the net effect on the price of the item is -
(a) an increase of 99%
(b) an increase of 1%
(c) a decrease of 1%
(d) No change
Ans. c
1412. A train 120 meter long is traveling at a speed of 60 km/h. The time in which it will pass a passersby, walking at 6 km/h in the same direction is -
(a) 8 sec
(b) 6 sec
(c) 3 sec
(d) 9 sec
Ans. a
1413. Which of the following describes all values of x for which 1 - ≥ 0
(a) x ≤ -1 or x ≥
(b) x ≤ -1
(c) -1 ≤ x ≤ 1
(d) x ≥ 1
Ans. c
1414. If x = , y = and z = , then the value of abc is -
(a) 4
(b) 3
(c) 2
(d) 1
Ans. d
1415. The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers become 1 : 2. The smaller number is -
(a) 60
(b) 30
(c) 84
(d) 40
Ans. d
1416. If p = and Q = , then what is the value of ?
(a)
(b)
(c)
(d)
Ans. a
1417. In the figure at the right end, PS is perpendicular to QR. If PQ = PR = 26 and PS = 24, then QR = ?
(a) 14
(b) 16
(c) 18
(d) 20
Ans. d
1418. একটি বাক্সের ভিতর পাঁচটি ক্ষুদ্র বাক্স আছে। বাক্সগুলো প্রতিটিতে আবার পাঁচটি করে ক্ষুদ্রতম বাক্স আছে। মোট বাক্সের সংখ্যা কত?
(a) ৩১টি
(b) ২৫টি
(c) ৩০টি
(d) ২৬টি
Ans. a
1419. In the figure below, the value of y is
(a) 12
(b) 42
(c) 24
(d) 36
Ans. b
1420.
(a) 1 + b
(b)
(c) a + b
(d) a - b
Ans.
1421. কোন সংখ্যাকে ২ দ্বারা গুণ করে গুণফলকে ৩ দ্বারা ভাগ করলে ভাগফল ২ হবে?
(a) ৫
(b) ৪
(c) ৩
(d) ৬
Ans. c
1422.
(a)
(b)
(c)
(d)
Ans. d
1423. ১২৫টি কলম ও ১৪৫টি পেন্সিল কতজনের মধ্যে সমানভাবে ভাগ করে দেওয়া যাবে?
(a) ১০
(b) ১৫
(c) ৫
(d) ২০
Ans. c
1424. কোন সংখ্যার ৫% হবে ২৫?
(a) ১৫০
(b) ২৫০
(c) ৫০০
(d) কোনটিই নয়
Ans. c
1425. ৮, ১১, ১৭, ২৯, ৫৩, ………………… ধারাটির পরবর্তী সংখ্যা কত?