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Browse complete papersThe simplified value of \( 55 - [76 - (54 \div 6 - (14 - 24 \div 2) \div 9)] \) is:
\(-\frac{110}{9}\)
\(-\frac{119}{9}\)
\(-\frac{100}{9}\)
\(-\frac{106}{9}\)
Correct answer
\(-\frac{110}{9}\)
In a \(\Delta LMN, \angle LMN = 67^{\circ}\) and \(\angle LNM = 42^{\circ}\). If \(P\) is the incentre of the \(\Delta LMN\), then what is the measure of \(\angle MPN\)?
120°
125.5°
125°
120.5°
Correct answer
120°
For the frequency distribution of weights of sorghum ear-heads given in table below. Find the median.
| Weights of ear head ( in g) | No of year head (f) | Cumulative frequency (f) |
|---|---|---|
| 60-80 | 22 | 22 |
| 80-100 | 38 | 60 |
| 100-120 | 45 | 105 |
| 120-140 | 35 | 140 |
| 140-160 | 24 | 164 |
| Total | 164 |
(Round off your answer to two decimal places)
109.78 g
1108.26 g
109.24 g
108.54 g
Correct answer
109.78 g
A fruit vendor buys \( 7 \) dozen bananas for \( ₹378 \). If he spends \( ₹72 \) more to buy additional bananas at the same rate, how many bananas does he buy in total?
94
90
97
100
Correct answer
94
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
WYW−SUS
XZX−TVT
ACA−VYV
ABY−VXV
ABY−WYW
ACA−WYW
Correct answer
ACA−VYV
The number of green balls and red balls in a bag is in the ratio \( 8:7 \). If there are a total of \( 105 \) balls, how many are red balls?
63
49
32
56
Correct answer
63
By how much is \( 30% \text{ of } 60 \) greater than \( 30% \text{ of } 35 \)?
9.5
4.5
7.5
2.5
Correct answer
9.5
The average height of \( 16 \) boys out of a class of \( 50 \) boys is \( 160 \text{ cm} \). If the average height of the remaining boys is \( 167 \text{ cm} \), then the average height of the whole class (in cm) is:
164.5
164.76
165.76
163.5
Correct answer
164.5
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
NP - IK
SP - PR
FH - AC
OQ - JL
Correct answer
NP - IK
The following bar graph shows the number of students who qualified in a competitive examination from 2019 to 2023. Study the bar graph and answer the question that follows.
In which two consecutive years was the percentage increase in the number of qualified students the highest?
2019 - 2020
2020 - 2021
2022 - 2023
2021 - 2022
Correct answer
2019 - 2020