01) Performance of 1800 students in grades has been shown in the following pie chart.
In which two grades taken together is the number of students 54
less than the number of students in grades B and E taken together?
a) C and E
b) B and D
c) A and E
d) C and D
02) The average of 52, 71, 43, 22, a and b is 55 and the average
of 42, 45, 49, 51, 42, c, and d is 53. What is the average of a, b, c, and d?
a) 54.7
b) 71
c) 54
d) 142
03) The following bar graph shows the total number of youth (in
lakhs) and the number of employed youth (in laksh) in 5 states A, B, C, D and
E.
Which state has
the maximum number of unemployed youth?
a) D
b) B
c) E
d) A
04) If x = 4 + √15, what is the value of (x2 + 1/x2)?
a) 48
b) 54
c) 72
d) 62
05) A person sold an article at a loss of 18%. Had he sold it
for Rs. 960 more, he would gained 12%. If the article is sold for Rs. 3,840,
then how much is the profit percentage?
a) 15%
b) 24%
c) 20%
d) 21%
06) In ΔLMN, the bisectors of ∠L and ∠N intersect at an angle of 1120. What is the measure (in
degrees) of ∠M
a) 62
b) 60
c) 44
d) 72
07) A boatman can row his boat in still water at a speed of 9
km/h. He can also row 44 km downstream and 35 km upstream in 9 hours. How much
time (in hours) will he take to tow 33 km downstream and 28 km upstream?
a) 7
b) 5
c) 6
d) 8
08) In Δ ABC, B and E are points on side AC and AD respectively,
such that BE is parallel to CD. CD = 9 cm, BE =6 cm, AB =5 cm and ED = 2cm.
what are the measures of the lengths (in cm) of AE and BC?
a) 4, 2.5
b) 3, 4
c) 4, 3
d) 2.5, 4
09) A kite is attached to a string. Find the length of the
string (in m) when the height of the kite is 90 m and the string makes an angle
of 300 with the ground.
a) 180
b) 90√3
c) 45
d) 60√3
10) The reduction of 15% in the price of salt enables a person
to buy 2 kg more for Rs. 272. The reduced price of salt per kg (in Rs.) is:
a) 20.40
b) 22.16
c) 24.25
d) 25.00
11) If p is the third proportional to 8, 20 and q is the fourth
proportional to 3, 5, 24, then find the value of (2p + q).
a) 140
b) 126
c) 90
d) 104
12) A sum of money was borrowed and paid back in two annual
installments of Rs. 980, allowing 4% compound interest. The sum (in Rs. to the
nearest tens) borrowed was:
a) 1,850
b) 1,960
c) 1,760
d) 2,050
13) Two circles touch each other externally at T. RS is a direct
common tangent to the two circles touching the circles at P and Q. ∠TPQ = 420. ∠PQT (in degrees) is:
a) 48
b) 45
c) 42
d) 60
14) If sec A = 17/8, given that A < 900, what is
the value of the following?
(34 sinA + 15
cotA)/ (68 cosA – 16 tanA)
a) 23
b) 19
c) 30
d) 38
15) AB is the diameter of a circle with centre O. C and D are
two points on the circumference of the circle on either side of AB. Such that ∠CAB =420 and ∠ABD = 570. What
is difference (in degrees) between the measures of ∠CAD and ∠CBD?
a) 105 and 75
b) 75 and 105
c) 81 and 99
d) 99 and 81
16) If a2 + b2 + c2 = 6.25 and
(ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
a) ±2.7
b) -2.7
c) -2.8
d) ±2.8
17) What is the greatest number by which when 156, 181 and 331
are divided, the remainder is 6 in each case?
a) 26
b) 17
c) 25
d) 13
18) A can finish a piece of work in 48 days and B can finish it
in 60 days. they work together for 12 days and then A goes away. In how much
time (in days and hours) will B finish 25% of the remaining work?
a) 6 days 4 hours
b) 8 days 8 hours
c) 6 days 6 hours
d) 8 days 6 hours
19) The following pie-charts show number of students studying in
different departments of an institute during the academic years 2019 and 2020. The
total number of students was 2000 and 2400 in academic year 2019 and 2020,
respectively.
What is the percentage increase or decrease in the number of
students of Engineering in 2020 as compared to 2019? (correct to 2 decimal
places)
a) 10.55%
b) 11.77%
c) 10.77%
d) 10.25%
20) A 35 cm high bucket in the form of a frustum is full of
water. Radil of its lower and upper ends are 12 cm and 18 cm, respectively. If water
from this bucket is poured in a cylindrical drum. Whose base radius is 20 cm,
then what will be the height of water (in cm) in the drum?
a) 16.25
b) 18.25
c) 19.95
d) 20.50
21) Study the given histogram that shows the height (in cm) of
100 students in an athletic team and answer the question that follows.
Histogram here Update soon
Express the number of students with height less than 170 cm as
the percentage (correct to one decimal place) of the number of students with
height more than 160 cm.
a) 46.3%
b) 73.5%
c) 29.1%
d) 53.7%
22) If tan2A + 2tanA – 63 = 0 Given that 0 < A
< Π/2 what is the value of (2sinA + 5cosA)?
a) 19√50
b) 15√50
c) 19/√50
d) 15/√50
23) In a manufacturing unit, it was noted that the price of raw
material has increased by 25% and the labour cost has gone up from 30% of the
cost of raw material to 38% of the cost of the raw material. What percentage of
the consumption of raw material be reduced to keep the cost the same as that
before the increase?
a) 20.7%
b) 30.2%
c) 24.6%
d) 25.5%
24) If the 7 digit number x8942y4 is divisible by 56. What is
the value of (x2 + y) for the largest value of y, where x and y are
natural numbers?
a) 33
b) 44
c) 55
d) 70
No comments:
Post a Comment